von zur Gathen, Joachim Counting decomposable univariate polynomials. (English) Zbl 1371.68335 Comb. Probab. Comput. 24, No. 1, 294-328 (2015). MSC: 68W30 11T06 12E05 12E10 PDFBibTeX XMLCite \textit{J. von zur Gathen}, Comb. Probab. Comput. 24, No. 1, 294--328 (2015; Zbl 1371.68335) Full Text: DOI arXiv
Bassalygo, L. A.; Zinoviev, V. A. Permutation and complete permutation polynomials. (English) Zbl 1368.11126 Finite Fields Appl. 33, 198-211 (2015). MSC: 11T06 11T71 12Y05 PDFBibTeX XMLCite \textit{L. A. Bassalygo} and \textit{V. A. Zinoviev}, Finite Fields Appl. 33, 198--211 (2015; Zbl 1368.11126) Full Text: DOI
Vega, Gerardo A critical review and some remarks about one- and two-weight irreducible cyclic codes. (English) Zbl 1368.11134 Finite Fields Appl. 33, 1-13 (2015). MSC: 11T71 11T55 12E20 PDFBibTeX XMLCite \textit{G. Vega}, Finite Fields Appl. 33, 1--13 (2015; Zbl 1368.11134) Full Text: DOI
Nakagawa, Nobuo On equations of finite fields of characteristic 2 and APN functions. (English) Zbl 1409.11136 AKCE Int. J. Graphs Comb. 12, No. 2-3, 75-93 (2015). MSC: 11T71 12E20 94A60 PDFBibTeX XMLCite \textit{N. Nakagawa}, AKCE Int. J. Graphs Comb. 12, No. 2--3, 75--93 (2015; Zbl 1409.11136) Full Text: DOI OA License
Schost, Eric Algorithms for finite field arithmetic. (English) Zbl 1346.68303 Proceedings of the 40th international symposium on symbolic and algebraic computation, ISSAC 2015, Bath, UK, July 6–9, 2015. New York, NY: Association for Computing Machinery (ACM) (ISBN 978-1-4503-3435-8). 7-12 (2015). MSC: 68W30 11T06 11Y16 12E20 12Y05 68W40 PDFBibTeX XMLCite \textit{E. Schost}, in: Proceedings of the 40th international symposium on symbolic and algebraic computation, ISSAC 2015, Bath, UK, July 6--9, 2015. New York, NY: Association for Computing Machinery (ACM). 7--12 (2015; Zbl 1346.68303) Full Text: DOI
Nechaev, Alexander A.; Popov, Vladimir O. A generalization of Ore’s theorem on irreducible polynomials over a finite field. (English. Russian original) Zbl 1345.11083 Discrete Math. Appl. 25, No. 4, 241-243 (2015); translation from Diskretn. Mat. 27, No. 1, 108-110 (2015). MSC: 11T06 12E05 PDFBibTeX XMLCite \textit{A. A. Nechaev} and \textit{V. O. Popov}, Discrete Math. Appl. 25, No. 4, 241--243 (2015; Zbl 1345.11083); translation from Diskretn. Mat. 27, No. 1, 108--110 (2015) Full Text: DOI
Mykkeltveit, Johannes; Szmidt, Janusz On cross joining de Bruijn sequences. (English) Zbl 1383.94011 Kyureghyan, Gohar (ed.) et al., Topics in finite fields. 11th international conference on finite fields and their applications (Fq11), Magdeburg, Germany, July 22–26, 2013. Proceedings. Providence, RI: American Mathematical Society (AMS) (ISBN 978-0-8218-9860-4/pbk; 978-1-4704-2220-2/ebook). Contemporary Mathematics 632, 335-346 (2015). MSC: 94A55 94C10 06E30 12Y05 PDFBibTeX XMLCite \textit{J. Mykkeltveit} and \textit{J. Szmidt}, Contemp. Math. 632, 335--346 (2015; Zbl 1383.94011) Full Text: DOI Link
Caullery, Florian A divisibility criterion for exceptional APN functions. (English) Zbl 1409.11133 Kyureghyan, Gohar (ed.) et al., Topics in finite fields. 11th international conference on finite fields and their applications (Fq11), Magdeburg, Germany, July 22–26, 2013. Proceedings. Providence, RI: American Mathematical Society (AMS). Contemp. Math. 632, 71-82 (2015). MSC: 11T71 12E20 94A60 PDFBibTeX XMLCite \textit{F. Caullery}, Contemp. Math. 632, 71--82 (2015; Zbl 1409.11133) Full Text: DOI Link
Li, Xuelian; Liao, Qunying The trace and dual bases of some special Gaussian normal bases over finite fields with even characteristic. (Chinese. English summary) Zbl 1349.11146 J. Sichuan Norm. Univ., Nat. Sci. 38, No. 6, 802-809 (2015). MSC: 11T30 12E20 PDFBibTeX XMLCite \textit{X. Li} and \textit{Q. Liao}, J. Sichuan Norm. Univ., Nat. Sci. 38, No. 6, 802--809 (2015; Zbl 1349.11146) Full Text: DOI
von zur Gathen, Joachim; Ziegler, Konstantin Survey on counting special types of polynomials. (English) Zbl 1434.11229 Gutierrez, Jaime (ed.) et al., Computer algebra and polynomials. Applications of algebra and number theory. Berlin: Springer. Lect. Notes Comput. Sci. 8942, 50-75 (2015). MSC: 11T06 12E10 PDFBibTeX XMLCite \textit{J. von zur Gathen} and \textit{K. Ziegler}, Lect. Notes Comput. Sci. 8942, 50--75 (2015; Zbl 1434.11229) Full Text: DOI arXiv
Bassalygo, L. A.; Zinoviev, V. A. One class of permutation polynomials over finite fields of even characteristic. (English) Zbl 1393.11079 Mosc. Math. J. 15, No. 4, 703-713 (2015). MSC: 11T06 11T71 12Y05 PDFBibTeX XMLCite \textit{L. A. Bassalygo} and \textit{V. A. Zinoviev}, Mosc. Math. J. 15, No. 4, 703--713 (2015; Zbl 1393.11079) Full Text: Link
Mishra, Alok; Sharma, Rajendra Kumar; Shukla, Wagish On the complexity of the dual bases of the Gaussian normal bases. (English) Zbl 1356.11088 Algebra Colloq. 22, Spec. Iss. 1, 909-922 (2015). MSC: 11T30 12E20 PDFBibTeX XMLCite \textit{A. Mishra} et al., Algebra Colloq. 22, 909--922 (2015; Zbl 1356.11088) Full Text: DOI
Aditya, Ricky The number of irreducible polynomials over a finite field: an algebraic proof. (English) Zbl 1396.11134 Int. J. Appl. Math. Stat. 53, No. 4, 110-115 (2015). MSC: 11T06 12E05 12E20 11T71 PDFBibTeX XMLCite \textit{R. Aditya}, Int. J. Appl. Math. Stat. 53, No. 4, 110--115 (2015; Zbl 1396.11134) Full Text: Link
Hachenberger, Dirk Primitive normal bases for quartic and cubic extensions: a geometric approach. (English) Zbl 1323.05024 Des. Codes Cryptography 77, No. 2-3, 335-350 (2015). MSC: 05B25 11T30 12E20 51D20 PDFBibTeX XMLCite \textit{D. Hachenberger}, Des. Codes Cryptography 77, No. 2--3, 335--350 (2015; Zbl 1323.05024) Full Text: DOI
Wang, Qiuyan Linear complexity of binary cyclotomic sequences of order 6. (English) Zbl 1334.94052 J. Appl. Math. Comput. 49, No. 1-2, 119-125 (2015). MSC: 94A55 12E20 PDFBibTeX XMLCite \textit{Q. Wang}, J. Appl. Math. Comput. 49, No. 1--2, 119--125 (2015; Zbl 1334.94052) Full Text: DOI
Marcos, José E. Some permutation polynomials over finite fields. (English) Zbl 1400.11157 Appl. Algebra Eng. Commun. Comput. 26, No. 5, 465-474 (2015). MSC: 11T06 12E10 PDFBibTeX XMLCite \textit{J. E. Marcos}, Appl. Algebra Eng. Commun. Comput. 26, No. 5, 465--474 (2015; Zbl 1400.11157) Full Text: DOI
Elia, Michele; Schipani, Davide Improvements on the Cantor-Zassenhaus factorization algorithm. (English) Zbl 1363.11100 Math. Bohem. 140, No. 3, 271-290 (2015). MSC: 11T06 11Y05 12E05 PDFBibTeX XMLCite \textit{M. Elia} and \textit{D. Schipani}, Math. Bohem. 140, No. 3, 271--290 (2015; Zbl 1363.11100) Full Text: DOI arXiv Link
Ayad, Mohamed; Belghaba, Kacem; Kihel, Omar On permutation binomials. (English) Zbl 1332.11102 Rocky Mt. J. Math. 45, No. 2, 389-399 (2015). MSC: 11T06 12E20 PDFBibTeX XMLCite \textit{M. Ayad} et al., Rocky Mt. J. Math. 45, No. 2, 389--399 (2015; Zbl 1332.11102) Full Text: DOI Euclid
Cohen, Stephen D.; Ul Hasan, Sartaj; Panario, Daniel; Wang, Qiang An asymptotic formula for the number of irreducible transformation shift registers. (English) Zbl 1330.05018 Linear Algebra Appl. 484, 46-62 (2015). MSC: 05A16 94A55 11T71 15B33 12E20 PDFBibTeX XMLCite \textit{S. D. Cohen} et al., Linear Algebra Appl. 484, 46--62 (2015; Zbl 1330.05018) Full Text: DOI arXiv
Zhang, Xiyong; Huang, Weiwei; Chu, Quanmei; Han, Wenbao Trace self-orthogonal relations of normal bases. (English) Zbl 1331.11113 Finite Fields Appl. 35, 284-317 (2015). MSC: 11T30 12E20 PDFBibTeX XMLCite \textit{X. Zhang} et al., Finite Fields Appl. 35, 284--317 (2015; Zbl 1331.11113) Full Text: DOI
Castillo, Chris; Coulter, Robert S. A general representation theory for constructing groups of permutation polynomials. (English) Zbl 1343.11091 Finite Fields Appl. 35, 172-203 (2015). MSC: 11T06 12E05 PDFBibTeX XMLCite \textit{C. Castillo} and \textit{R. S. Coulter}, Finite Fields Appl. 35, 172--203 (2015; Zbl 1343.11091) Full Text: DOI
Garefalakis, Theodoulos; Kapetanakis, Giorgos A note on the Hansen-Mullen conjecture for self-reciprocal irreducible polynomials. (English) Zbl 1328.11116 Finite Fields Appl. 35, 61-63 (2015). MSC: 11T06 12E05 PDFBibTeX XMLCite \textit{T. Garefalakis} and \textit{G. Kapetanakis}, Finite Fields Appl. 35, 61--63 (2015; Zbl 1328.11116) Full Text: DOI
Slinko, Arkadii Algebra for applications. Cryptography, secret sharing, error-correcting, fingerprinting, compression. (English) Zbl 1345.94002 Springer Undergraduate Mathematics Series. Cham: Springer (ISBN 978-3-319-21950-9/pbk; 978-3-319-21951-6/ebook). xiv, 328 p. (2015). Reviewer: Juan Tena Ayuso (Valladolid) MSC: 94-01 00A06 11-01 12-01 20-01 94A60 94Bxx PDFBibTeX XMLCite \textit{A. Slinko}, Algebra for applications. Cryptography, secret sharing, error-correcting, fingerprinting, com\-pression. Cham: Springer (2015; Zbl 1345.94002) Full Text: DOI
Maubach, Stefan; Rauf, Abdul The profinite polynomial automorphism group. (English) Zbl 1327.14264 J. Pure Appl. Algebra 219, No. 10, 4708-4727 (2015). Reviewer: Vesselin Drensky (Sofia) MSC: 14R20 20B25 37P05 11T06 12E20 PDFBibTeX XMLCite \textit{S. Maubach} and \textit{A. Rauf}, J. Pure Appl. Algebra 219, No. 10, 4708--4727 (2015; Zbl 1327.14264) Full Text: DOI arXiv Link
Sharma, P. L.; Rehan, M.; Sharma, S. Counting irreducible polynomials over \(\mathrm{GF}(3)\) with first and third coefficients given. (English) Zbl 1333.11113 Asian-Eur. J. Math. 8, No. 1, Article ID 1550015, 27 p. (2015). Reviewer: Robert Fitzgerald (Carbondale) MSC: 11T06 12E05 PDFBibTeX XMLCite \textit{P. L. Sharma} et al., Asian-Eur. J. Math. 8, No. 1, Article ID 1550015, 27 p. (2015; Zbl 1333.11113) Full Text: DOI
Ram, Samrith Enumeration of linear transformation shift registers. (English) Zbl 1331.94046 Des. Codes Cryptography 75, No. 2, 301-314 (2015). MSC: 94A55 11T71 12E05 15B33 PDFBibTeX XMLCite \textit{S. Ram}, Des. Codes Cryptography 75, No. 2, 301--314 (2015; Zbl 1331.94046) Full Text: DOI arXiv
Ugolini, S. Sequences of irreducible polynomials without prescribed coefficients over odd prime fields. (English) Zbl 1319.11071 Des. Codes Cryptography 75, No. 1, 145-155 (2015). Reviewer: Nikolai L. Manev (Sofia) MSC: 11T06 12E05 PDFBibTeX XMLCite \textit{S. Ugolini}, Des. Codes Cryptography 75, No. 1, 145--155 (2015; Zbl 1319.11071) Full Text: DOI arXiv
Guha, Ashwin; Dukkipati, Ambedkar An algorithmic characterization of polynomial functions over \(\mathbb Z_{p^n}\). (English) Zbl 1321.11126 Algorithmica 71, No. 1, 201-218 (2015). Reviewer: Astrid Reifegerste (Magdeburg) MSC: 11Y16 11T06 12E20 12Y05 68W30 13M10 13P05 PDFBibTeX XMLCite \textit{A. Guha} and \textit{A. Dukkipati}, Algorithmica 71, No. 1, 201--218 (2015; Zbl 1321.11126) Full Text: DOI arXiv
Chang, Seunghwan; Kim, Bihtnara; Lee, Hyang-Sook Polynomial representations for \(n\)-th roots in finite fields. (English) Zbl 1329.12002 J. Korean Math. Soc. 52, No. 1, 209-224 (2015). Reviewer: Wilfried Meidl (Linz) MSC: 12E20 11T06 68Q25 PDFBibTeX XMLCite \textit{S. Chang} et al., J. Korean Math. Soc. 52, No. 1, 209--224 (2015; Zbl 1329.12002) Full Text: DOI Link
Feng, Tao On homogeneous planar functions. (English) Zbl 1320.11117 Finite Fields Appl. 31, 121-136 (2015). MSC: 11T06 11T71 12E10 PDFBibTeX XMLCite \textit{T. Feng}, Finite Fields Appl. 31, 121--136 (2015; Zbl 1320.11117) Full Text: DOI arXiv
Zhang, Aixian; Feng, Keqin A new criterion on normal bases of finite field extensions. (English) Zbl 1320.12004 Finite Fields Appl. 31, 25-41 (2015). MSC: 12E20 12E10 11T30 PDFBibTeX XMLCite \textit{A. Zhang} and \textit{K. Feng}, Finite Fields Appl. 31, 25--41 (2015; Zbl 1320.12004) Full Text: DOI arXiv
Kim, Kitae; Namgoong, Jeongil; Yie, Ikkwon Affine transformation of a normal element and its application. (English) Zbl 1474.11198 Korean J. Math. 22, No. 3, 517-527 (2014). MSC: 11T30 12E10 12E20 PDFBibTeX XMLCite \textit{K. Kim} et al., Korean J. Math. 22, No. 3, 517--527 (2014; Zbl 1474.11198) Full Text: DOI
Lima, Juliano B.; Panario, Daniel; Campello de Souza, Ricardo M. A trigonometric approach for Chebyshev polynomials over finite fields. (English) Zbl 1346.11064 Larcher, Gerhard (ed.) et al., Applied algebra and number theory. Essays in honor of Harald Niederreiter on the occasion of his 70th birthday. Cambridge: Cambridge University Press (ISBN 978-1-107-07400-2/hbk; 978-1-139-69645-6/ebook). 255-279 (2014). Reviewer: Mihai Cipu (Bucureşti) MSC: 11T06 12E10 PDFBibTeX XMLCite \textit{J. B. Lima} et al., in: Applied algebra and number theory. Essays in honor of Harald Niederreiter on the occasion of his 70th birthday. Cambridge: Cambridge University Press. 255--279 (2014; Zbl 1346.11064)
Alizadeh, Mahmood; Hormozi-nejad, Farshin Minimum complexity and low-weight normal polynomials over finite fields. (English) Zbl 1377.11126 Ital. J. Pure Appl. Math. 33, 107-122 (2014). MSC: 11Y16 11T06 12E05 PDFBibTeX XMLCite \textit{M. Alizadeh} and \textit{F. Hormozi-nejad}, Ital. J. Pure Appl. Math. 33, 107--122 (2014; Zbl 1377.11126) Full Text: Link
Ziegler, Konstantin Tame decompositions and collisions. (English) Zbl 1325.12005 Nabeshima, Katsusuke (ed.), Proceedings of the 39th international symposium on symbolic and algebraic computation, ISSAC 2014, Kobe, Japan, July 23–25, 2014. New York, NY: Association for Computing Machinery (ACM) (ISBN 978-1-4503-2501-1). 421-428 (2014). MSC: 12E05 11T06 11Y16 12Y05 PDFBibTeX XMLCite \textit{K. Ziegler}, in: Proceedings of the 39th international symposium on symbolic and algebraic computation, ISSAC 2014, Kobe, Japan, July 23--25, 2014. New York, NY: Association for Computing Machinery (ACM). 421--428 (2014; Zbl 1325.12005) Full Text: DOI arXiv
Liao, Qunying; Hu, Xiaolan The explicit formula for the complexity of a class of Gauss period normal bases over finite fields. (Chinese. English summary) Zbl 1324.12002 Acta Math. Sin., Chin. Ser. 57, No. 5, 863-874 (2014). MSC: 12E20 11T30 PDFBibTeX XMLCite \textit{Q. Liao} and \textit{X. Hu}, Acta Math. Sin., Chin. Ser. 57, No. 5, 863--874 (2014; Zbl 1324.12002)
Popovich, R. B. On isomorphism of finite fields of characteristic two. (Ukrainian. English summary) Zbl 1324.12003 Mat. Visn. Nauk. Tov. Im. Shevchenka 11, 12-20 (2014). MSC: 12E20 11T30 PDFBibTeX XMLCite \textit{R. B. Popovich}, Mat. Visn. Nauk. Tov. Im. Shevchenka 11, 12--20 (2014; Zbl 1324.12003)
Rybalkin, M. A. Classification of permutation trinomials and quadrinomials over prime fields. (English. Russian original) Zbl 1305.11103 J. Math. Sci., New York 200, No. 6, 734-741 (2014); translation from Zap. Nauchn. Semin. POMI 421, 152-165 (2014). MSC: 11T06 11Y16 12E10 PDFBibTeX XMLCite \textit{M. A. Rybalkin}, J. Math. Sci., New York 200, No. 6, 734--741 (2014; Zbl 1305.11103); translation from Zap. Nauchn. Semin. POMI 421, 152--165 (2014) Full Text: DOI
Su, Dandan; Fu, Ping Normal basis and its inverse and multiplication tables over finite fields. (Chinese. English summary) Zbl 1313.11136 J. Inn. Mong. Norm. Univ., Nat. Sci. 43, No. 4, 408-412 (2014). MSC: 11T30 12E20 11Y16 PDFBibTeX XMLCite \textit{D. Su} and \textit{P. Fu}, J. Inn. Mong. Norm. Univ., Nat. Sci. 43, No. 4, 408--412 (2014; Zbl 1313.11136)
Cao, Xiwang; Wang, Peipei Primitive elements with prescribed trace. (English) Zbl 1337.11082 Appl. Algebra Eng. Commun. Comput. 25, No. 5, 339-345 (2014). MSC: 11T30 11T23 12E20 PDFBibTeX XMLCite \textit{X. Cao} and \textit{P. Wang}, Appl. Algebra Eng. Commun. Comput. 25, No. 5, 339--345 (2014; Zbl 1337.11082) Full Text: DOI
Kapetanakis, Giorgos An extension of the (strong) primitive normal basis theorem. (English) Zbl 1362.11105 Appl. Algebra Eng. Commun. Comput. 25, No. 5, 311-337 (2014). Reviewer: Neranga Fernando (Boston) MSC: 11T30 11T06 11T24 12E20 PDFBibTeX XMLCite \textit{G. Kapetanakis}, Appl. Algebra Eng. Commun. Comput. 25, No. 5, 311--337 (2014; Zbl 1362.11105) Full Text: DOI
Cochrane, Todd; Spencer, Craig V.; Yang, Hee-Sung Rational linear spaces on hypersurfaces over quasi-algebraically closed fields. (English) Zbl 1375.11033 Rocky Mt. J. Math. 44, No. 6, 1805-1816 (2014). MSC: 11D72 12F20 11T55 PDFBibTeX XMLCite \textit{T. Cochrane} et al., Rocky Mt. J. Math. 44, No. 6, 1805--1816 (2014; Zbl 1375.11033) Full Text: DOI Euclid
Férard, Eric On the irreducibility of the hyperplane sections of Fermat varieties in \(\mathbb{P}^3\) in characteristic \(2\). (English) Zbl 1368.11127 Adv. Math. Commun. 8, No. 4, 497-509 (2014). MSC: 11T06 12E05 14Q10 11T71 PDFBibTeX XMLCite \textit{E. Férard}, Adv. Math. Commun. 8, No. 4, 497--509 (2014; Zbl 1368.11127) Full Text: DOI OA License
Bayad, Abdelmejid; Hamahata, Yoshinori Multiple Dedekind-Rademacher sums in finite fields. (English) Zbl 1316.11030 Ramanujan J. 35, No. 3, 493-502 (2014). Reviewer: Huaning Liu (Shaanxi) MSC: 11F20 11T55 12E20 PDFBibTeX XMLCite \textit{A. Bayad} and \textit{Y. Hamahata}, Ramanujan J. 35, No. 3, 493--502 (2014; Zbl 1316.11030) Full Text: DOI
Kim, Ryul; Pak, Su-Yong; Sin, Myong-Son Swan-like reducibility for type I pentanomials over a binary field. (English) Zbl 1313.11130 Sci. Stud. Res., Ser. Math. Inform. 24, No. 1, 27-42 (2014). MSC: 11T06 12E05 PDFBibTeX XMLCite \textit{R. Kim} et al., Sci. Stud. Res., Ser. Math. Inform. 24, No. 1, 27--42 (2014; Zbl 1313.11130) Full Text: arXiv
Hernando, Fernando; McGuire, Gary; Monserrat, Francisco On the classification of exceptional planar functions over \(\mathbb F_p\). (English) Zbl 1343.11095 Geom. Dedicata 173, 1-35 (2014). MSC: 11T71 05B10 12E05 PDFBibTeX XMLCite \textit{F. Hernando} et al., Geom. Dedicata 173, 1--35 (2014; Zbl 1343.11095) Full Text: DOI arXiv
Berhuy, Grégory Algebraic space-time codes based on division algebras with a unitary involution. (English) Zbl 1328.94096 Adv. Math. Commun. 8, No. 2, 167-189 (2014). MSC: 94B27 11T71 12E15 16W10 PDFBibTeX XMLCite \textit{G. Berhuy}, Adv. Math. Commun. 8, No. 2, 167--189 (2014; Zbl 1328.94096) Full Text: DOI OA License
Koma, Behzad Omidi; Panario, Daniel Approximating the number of irreducible polynomials over \(\mathbb F_2\) with several prescribed coefficients. (English) Zbl 1351.11077 J. Comb. Math. Comb. Comput. 90, 255-284 (2014). MSC: 11T06 05A15 11Y16 12E05 PDFBibTeX XMLCite \textit{B. O. Koma} and \textit{D. Panario}, J. Comb. Math. Comb. Comput. 90, 255--284 (2014; Zbl 1351.11077)
Liao, Qunying; Li, Wei; Tang, Jiangang The multiplication table and complexity of some self-dual normal bases over finite fields. (Chinese. English summary) Zbl 1313.11135 J. Sichuan Norm. Univ., Nat. Sci. 37, No. 1, 31-36 (2014). MSC: 11T30 12E20 PDFBibTeX XMLCite \textit{Q. Liao} et al., J. Sichuan Norm. Univ., Nat. Sci. 37, No. 1, 31--36 (2014; Zbl 1313.11135) Full Text: DOI
Micheli, Giacomo; Schipani, Davide On canonical subfield preserving polynomials. (English) Zbl 1370.11133 Acta Arith. 166, No. 1, 23-32 (2014). Reviewer: Neranga Fernando (Boston) MSC: 11T06 12E05 12E20 PDFBibTeX XMLCite \textit{G. Micheli} and \textit{D. Schipani}, Acta Arith. 166, No. 1, 23--32 (2014; Zbl 1370.11133) Full Text: DOI arXiv
Mishra, Alok; Sharma, Rajendra Kumar; Shukla, Wagish On the bound of the complexity of the normal basis generated by the trace of the dual element of a Type I optimal normal element. (English) Zbl 1331.12006 Asian-Eur. J. Math. 7, No. 3, Article ID 1450043, 16 p. (2014). MSC: 12E20 11T30 PDFBibTeX XMLCite \textit{A. Mishra} et al., Asian-Eur. J. Math. 7, No. 3, Article ID 1450043, 16 p. (2014; Zbl 1331.12006) Full Text: DOI
Storme, Leo (ed.); De Beule, Jan (ed.) Current research topics in Galois geometry. (English) Zbl 1298.51007 Mathematics Research Developments. New York, NY: Nova Science Publishers/Novinka (ISBN 978-1-63117-340-0/pbk; 978-1-62081-363-8/ebook). viii, 276 p. (2014). MSC: 51-06 51Exx 51C05 05B25 12K10 94A60 94B27 00B15 PDFBibTeX XMLCite \textit{L. Storme} (ed.) and \textit{J. De Beule} (ed.), Current research topics in Galois geometry. New York, NY: Nova Science Publishers/Novinka (2014; Zbl 1298.51007)
Zha, Zhengbang; Hu, Lei; Sun, Siwei; Sun, Yao New constructions of APN polynomial functions in odd characteristic. (English) Zbl 1342.11093 Appl. Algebra Eng. Commun. Comput. 25, No. 4, 249-263 (2014). MSC: 11T06 12E10 94A60 PDFBibTeX XMLCite \textit{Z. Zha} et al., Appl. Algebra Eng. Commun. Comput. 25, No. 4, 249--263 (2014; Zbl 1342.11093) Full Text: DOI
Cao, Weiwei; Hu, Lei Projective interpolation of polynomial vectors and improved key recovery attack on SFLASH. (English) Zbl 1308.94063 Des. Codes Cryptography 73, No. 3, 719-730 (2014). MSC: 94A60 94A62 12Y05 PDFBibTeX XMLCite \textit{W. Cao} and \textit{L. Hu}, Des. Codes Cryptography 73, No. 3, 719--730 (2014; Zbl 1308.94063) Full Text: DOI
Mattarei, Sandro A property of the inverse of a subspace of a finite field. (English) Zbl 1332.11108 Finite Fields Appl. 29, 268-274 (2014). MSC: 11T30 12E20 51E20 PDFBibTeX XMLCite \textit{S. Mattarei}, Finite Fields Appl. 29, 268--274 (2014; Zbl 1332.11108) Full Text: DOI arXiv
Özbudak, Ferruh; Pott, Alexander Uniqueness of \(\mathbb{F}_q\)-quadratic perfect nonlinear maps from \(\mathbb{F}_{q^3}\) to \(\mathbb{F}_q^2\). (English) Zbl 1298.11111 Finite Fields Appl. 29, 49-88 (2014). MSC: 11T06 12E20 11G20 12K10 PDFBibTeX XMLCite \textit{F. Özbudak} and \textit{A. Pott}, Finite Fields Appl. 29, 49--88 (2014; Zbl 1298.11111) Full Text: DOI
Wu, Baofeng The compositional inverse of a class of linearized permutation polynomials over \(\mathbb{F}_{2^n}\), \(n\) odd. (English) Zbl 1309.11085 Finite Fields Appl. 29, 34-48 (2014). MSC: 11T06 12E10 12E20 15A15 PDFBibTeX XMLCite \textit{B. Wu}, Finite Fields Appl. 29, 34--48 (2014; Zbl 1309.11085) Full Text: DOI arXiv
Charpin, Pascale; Kyureghyan, Gohar M.; Suder, Valentin Sparse permutations with low differential uniformity. (English) Zbl 1328.12005 Finite Fields Appl. 28, 214-243 (2014). MSC: 12E20 11T06 11T71 PDFBibTeX XMLCite \textit{P. Charpin} et al., Finite Fields Appl. 28, 214--243 (2014; Zbl 1328.12005) Full Text: DOI
Cohen, Stephen D. Pairs of primitive elements in fields of even order. (English) Zbl 1366.11113 Finite Fields Appl. 28, 22-42 (2014). MSC: 11T06 11T24 11T30 12E20 PDFBibTeX XMLCite \textit{S. D. Cohen}, Finite Fields Appl. 28, 22--42 (2014; Zbl 1366.11113) Full Text: DOI
Zhang, Xiyong; Feng, Rongquan; Liao, Qunying; Gao, Xuhong Finding normal bases over finite fields with prescribed trace self-orthogonal relations. (English) Zbl 1331.11112 Finite Fields Appl. 28, 1-21 (2014). MSC: 11T30 12E20 PDFBibTeX XMLCite \textit{X. Zhang} et al., Finite Fields Appl. 28, 1--21 (2014; Zbl 1331.11112) Full Text: DOI arXiv
Caullery, Florian A new large class of functions not APN infinitely often. (English) Zbl 1356.94052 Des. Codes Cryptography 73, No. 2, 601-614 (2014). MSC: 94A60 11T71 12E20 PDFBibTeX XMLCite \textit{F. Caullery}, Des. Codes Cryptography 73, No. 2, 601--614 (2014; Zbl 1356.94052) Full Text: DOI arXiv HAL
Özbudak, Ferruh; Saygı, Zülfükar On the exact number of solutions of certain linearized equations. (English) Zbl 1335.11099 Des. Codes Cryptography 73, No. 2, 457-468 (2014). MSC: 11T06 12E12 PDFBibTeX XMLCite \textit{F. Özbudak} and \textit{Z. Saygı}, Des. Codes Cryptography 73, No. 2, 457--468 (2014; Zbl 1335.11099) Full Text: DOI
Zieve, Michael E. On a theorem of Carlitz. (English) Zbl 1311.11112 J. Group Theory 17, No. 4, 667-669 (2014). MSC: 11T06 12E20 05A05 PDFBibTeX XMLCite \textit{M. E. Zieve}, J. Group Theory 17, No. 4, 667--669 (2014; Zbl 1311.11112) Full Text: DOI arXiv
von zur Gathen, Joachim Normal form for Ritt’s second theorem. (English) Zbl 1292.68175 Finite Fields Appl. 27, 41-71 (2014). MSC: 68W30 11T06 12E05 PDFBibTeX XMLCite \textit{J. von zur Gathen}, Finite Fields Appl. 27, 41--71 (2014; Zbl 1292.68175) Full Text: DOI arXiv
Arora, Manuel; Ivanyos, Gábor; Karpinski, Marek; Saxena, Nitin Deterministic polynomial factoring and association schemes. (English) Zbl 1320.11116 LMS J. Comput. Math. 17, 123-140 (2014). MSC: 11T06 11Y16 05E30 12E05 68W30 PDFBibTeX XMLCite \textit{M. Arora} et al., LMS J. Comput. Math. 17, 123--140 (2014; Zbl 1320.11116) Full Text: DOI arXiv
Mishra, Alok; Sharma, Rajendra Kumar; Shukla, Wagish On the self-dual normal bases and their distribution. (English) Zbl 1292.11135 Linear Algebra Appl. 457, 179-190 (2014). MSC: 11T30 12E20 PDFBibTeX XMLCite \textit{A. Mishra} et al., Linear Algebra Appl. 457, 179--190 (2014; Zbl 1292.11135) Full Text: DOI
Tao, Terence Algebraic combinatorial geometry: the polynomial method in arithmetic combinatorics, incidence combinatorics, and number theory. (English) Zbl 1294.05044 EMS Surv. Math. Sci. 1, No. 1, 1-46 (2014). MSC: 05B25 05E15 11T06 12D10 51H10 PDFBibTeX XMLCite \textit{T. Tao}, EMS Surv. Math. Sci. 1, No. 1, 1--46 (2014; Zbl 1294.05044) Full Text: DOI arXiv
Niederreiter, Harald (ed.); Ostafe, Alina (ed.); Panario, Daniel (ed.); Winterhof, Arne (ed.) Algebraic curves and finite fields. Cryptography and other applications. results of the workshops “Applications of algebraic curves” and “Applications of finite fields” of the RICAM Special Semester 2013. (English) Zbl 1292.11003 Radon Series on Computational and Applied Mathematics 16. Berlin: De Gruyter (ISBN 978-3-11-031788-6/hbk; 978-3-11-037955-6/ebook). xi, 240 p. (2014). MSC: 11-06 00B25 14-06 94-06 11G20 11R58 11R60 11T71 14H05 14H10 14H37 94A60 94A55 12K10 68Q17 PDFBibTeX XMLCite \textit{H. Niederreiter} (ed.) et al., Algebraic curves and finite fields. Cryptography and other applications. results of the workshops ``Applications of algebraic curves'' and ``Applications of finite fields'' of the RICAM Special Semester 2013. Berlin: De Gruyter (2014; Zbl 1292.11003) Full Text: DOI
Pintoptang, Umarin; Tadee, Suton; Laohakosol, Vichian The concept of \(q\)-cycle and applications. (English) Zbl 1294.11211 J. Discrete Math. 2014, Article ID 823567, 9 p. (2014). MSC: 11T06 12E20 PDFBibTeX XMLCite \textit{U. Pintoptang} et al., J. Discrete Math. 2014, Article ID 823567, 9 p. (2014; Zbl 1294.11211) Full Text: DOI
Schauz, Uwe Classification of polynomial mappings between commutative groups. (English) Zbl 1311.20052 J. Number Theory 139, 1-28 (2014). Reviewer: Władysław Narkiewicz (Wrocław) MSC: 20K01 12E99 13F20 11T06 08A40 41A05 PDFBibTeX XMLCite \textit{U. Schauz}, J. Number Theory 139, 1--28 (2014; Zbl 1311.20052) Full Text: DOI arXiv
Qin, Xiaoer; Hong, Shaofang Constructing permutation polynomials over finite fields. (English) Zbl 1301.11076 Bull. Aust. Math. Soc. 89, No. 3, 420-430 (2014). MSC: 11T06 12E20 PDFBibTeX XMLCite \textit{X. Qin} and \textit{S. Hong}, Bull. Aust. Math. Soc. 89, No. 3, 420--430 (2014; Zbl 1301.11076) Full Text: DOI arXiv
Couvreur, Alain; Otmani, Ayoub; Tillich, Jean-Pierre Polynomial time attack on wild McEliece over quadratic extensions. (English) Zbl 1326.94134 Nguyen, Phong Q. (ed.) et al., Advances in cryptology – EUROCRYPT 2014. 33rd annual international conference on the theory and applications of cryptographic techniques, Copenhagen, Denmark, May 11–15, 2014. Proceedings. Berlin: Springer (ISBN 978-3-642-55219-9/pbk). Lecture Notes in Computer Science 8441, 17-39 (2014). MSC: 94B05 94A60 94B25 12F05 68Q25 PDFBibTeX XMLCite \textit{A. Couvreur} et al., Lect. Notes Comput. Sci. 8441, 17--39 (2014; Zbl 1326.94134) Full Text: DOI arXiv
Wendler, Wolf-Michael Theory of finite fields – and a comparison with characteristic 0. (Theorie der endlichen Körper – und ein Vergleich mit der Charakteristik 0.) (German) Zbl 1302.12001 Berichte aus der Mathematik. Aachen: Shaker Verlag (ISBN 978-3-8440-2763-1/hbk). xvii, 517 p. (2014). Reviewer: Mihail Voicu (Iaşi) MSC: 12-01 12E20 11T99 93B25 00A69 00A79 PDFBibTeX XMLCite \textit{W.-M. Wendler}, Theorie der endlichen Körper -- und ein Vergleich mit der Charakteristik 0. Aachen: Shaker Verlag (2014; Zbl 1302.12001)
Piñero, Fernando; Janwa, Heeralal On the subfield subcodes of Hermitian codes. (English) Zbl 1331.94084 Des. Codes Cryptography 70, No. 1-2, 157-173 (2014). MSC: 94B60 05E40 11T71 12Y05 13P10 14G50 14H05 PDFBibTeX XMLCite \textit{F. Piñero} and \textit{H. Janwa}, Des. Codes Cryptography 70, No. 1--2, 157--173 (2014; Zbl 1331.94084) Full Text: DOI
Kapetanakis, Giorgos Normal bases and primitive elements over finite fields. (English) Zbl 1288.11112 Finite Fields Appl. 26, 123-143 (2014). MSC: 11T30 11T06 11T24 12E20 PDFBibTeX XMLCite \textit{G. Kapetanakis}, Finite Fields Appl. 26, 123--143 (2014; Zbl 1288.11112) Full Text: DOI
Brison, Owen J.; Nogueira, J. Eurico Standard sequence subgroups in finite fields. (English) Zbl 1355.11107 Finite Fields Appl. 25, 326-340 (2014). MSC: 11T30 11B39 12E20 PDFBibTeX XMLCite \textit{O. J. Brison} and \textit{J. E. Nogueira}, Finite Fields Appl. 25, 326--340 (2014; Zbl 1355.11107) Full Text: DOI
Goltvanitsa, M. A.; Nechaev, A. A.; Zaitsev, S. N. Skew LRS of maximal period over Galois rings. (English) Zbl 1477.11025 Mat. Vopr. Kriptografii 4, No. 2, 59-72 (2013). MSC: 11B37 11T99 12E20 PDFBibTeX XMLCite \textit{M. A. Goltvanitsa} et al., Mat. Vopr. Kriptografii 4, No. 2, 59--72 (2013; Zbl 1477.11025) Full Text: DOI MNR
Cenk, Murat; Negre, Christophe; Hasan, M. Anwar Improved three-way split formulas for binary polynomial and Toeplitz matrix vector products. (English) Zbl 1365.94414 IEEE Trans. Comput. 62, No. 7, 1345-1361 (2013). MSC: 94A60 12E05 15B05 PDFBibTeX XMLCite \textit{M. Cenk} et al., IEEE Trans. Comput. 62, No. 7, 1345--1361 (2013; Zbl 1365.94414) Full Text: DOI
Kaminski, Michael; Xing, Chaoping An upper bound on the complexity of multiplication of polynomials modulo a power of an irreducible polynomial. (English) Zbl 1364.11166 IEEE Trans. Inf. Theory 59, No. 10, 6845-6850 (2013). MSC: 11Y16 11Y40 12Y05 68Q25 94A60 94B05 94B25 PDFBibTeX XMLCite \textit{M. Kaminski} and \textit{C. Xing}, IEEE Trans. Inf. Theory 59, No. 10, 6845--6850 (2013; Zbl 1364.11166) Full Text: DOI
Li, Bo; Liao, Qunying The dual basis and multiplication table of the type \(k\)-Gaussian normal basis over finite fields. (Chinese. English summary) Zbl 1313.11134 J. Sichuan Norm. Univ., Nat. Sci. 36, No. 6, 824-829 (2013). MSC: 11T30 12E20 PDFBibTeX XMLCite \textit{B. Li} and \textit{Q. Liao}, J. Sichuan Norm. Univ., Nat. Sci. 36, No. 6, 824--829 (2013; Zbl 1313.11134) Full Text: DOI
Ciss, Abdoul Aziz; Sow, Djiby Randomness extraction in finite fields \(\mathbb F_{p^n}\). (English) Zbl 1298.94085 Int. J. Algebra 7, No. 9-12, 409-420 (2013). MSC: 94A60 12E20 11T71 PDFBibTeX XMLCite \textit{A. A. Ciss} and \textit{D. Sow}, Int. J. Algebra 7, No. 9--12, 409--420 (2013; Zbl 1298.94085) Full Text: DOI
Ben-Sasson, Eli; Gabizon, Ariel Extractors for polynomial sources over fields of constant order and small characteristic. (English) Zbl 1357.68148 Theory Comput. 9, Paper No. 21, 665-683 (2013). MSC: 68Q87 11T23 12E20 60E15 PDFBibTeX XMLCite \textit{E. Ben-Sasson} and \textit{A. Gabizon}, Theory Comput. 9, Paper No. 21, 665--683 (2013; Zbl 1357.68148) Full Text: DOI OA License
Kyureghyan, Gohar M. Special mappings of finite fields. (English) Zbl 1367.11084 Charpin, Pascale (ed.) et al., Finite fields and their applications. Character sums and polynomials. Based on the invited talks of the RICAM-workshop, Strobl, Austria, September 2–7, 2012. Berlin: de Gruyter (ISBN 978-3-11-028240-5/hbk; 978-3-11-028360-0/ebook). Radon Series on Computational and Applied Mathematics 11, 117-144 (2013). MSC: 11T06 11T71 12E20 PDFBibTeX XMLCite \textit{G. M. Kyureghyan}, Radon Ser. Comput. Appl. Math. 11, 117--144 (2013; Zbl 1367.11084)
Huczynska, Sophie Existence results for finite field polynomials with specified properties. (English) Zbl 1382.11088 Charpin, Pascale (ed.) et al., Finite fields and their applications. Character sums and polynomials. Based on the invited talks of the RICAM-workshop, Strobl, Austria, September 2–7, 2012. Berlin: de Gruyter (ISBN 978-3-11-028240-5/hbk; 978-3-11-028360-0/ebook). Radon Series on Computational and Applied Mathematics 11, 65-87 (2013). MSC: 11T06 11T24 12E20 11-02 PDFBibTeX XMLCite \textit{S. Huczynska}, Radon Ser. Comput. Appl. Math. 11, 65--87 (2013; Zbl 1382.11088)
Liao, Qunying; Li, Wei; Tang, Jiangang; Xie, Wanlin A class of self-dual normal bases related to the type \(k\) Gaussian period normal basis over finite fields. (Chinese. English summary) Zbl 1299.11085 J. Sichuan Norm. Univ., Nat. Sci. 36, No. 5, 663-668 (2013). MSC: 11T71 11T30 12E20 PDFBibTeX XMLCite \textit{Q. Liao} et al., J. Sichuan Norm. Univ., Nat. Sci. 36, No. 5, 663--668 (2013; Zbl 1299.11085) Full Text: DOI
Liao, Qunying A survey on normal bases over finite fields. (English) Zbl 1299.11084 Adv. Math., Beijing 42, No. 5, 577-586 (2013). MSC: 11T71 11T30 12E20 PDFBibTeX XMLCite \textit{Q. Liao}, Adv. Math., Beijing 42, No. 5, 577--586 (2013; Zbl 1299.11084)
Huczynska, Sophie; Mullen, Gary L.; Panario, Daniel; Thomson, David Existence and properties of \(k\)-normal elements over finite fields. (English) Zbl 1305.11108 Finite Fields Appl. 24, 170-183 (2013). MSC: 11T30 11T06 12E20 PDFBibTeX XMLCite \textit{S. Huczynska} et al., Finite Fields Appl. 24, 170--183 (2013; Zbl 1305.11108) Full Text: DOI
Chen, Bocong; Li, Liangchen; Tuerhong, Rouziwanguli Explicit factorization of \(X^{2^m}p^n-1\) over a finite field. (English) Zbl 1305.11102 Finite Fields Appl. 24, 95-104 (2013). MSC: 11T06 12E10 PDFBibTeX XMLCite \textit{B. Chen} et al., Finite Fields Appl. 24, 95--104 (2013; Zbl 1305.11102) Full Text: DOI
Yang, Minghui; Zhu, Shixin; Feng, Keqin Planarity of mappings \(x(\mathrm{Tr}(x)-\frac{\alpha}{2}x)\) on finite fields. (English) Zbl 1305.12001 Finite Fields Appl. 23, 1-7 (2013). MSC: 12E20 11T06 11T23 PDFBibTeX XMLCite \textit{M. Yang} et al., Finite Fields Appl. 23, 1--7 (2013; Zbl 1305.12001) Full Text: DOI
Tofigh, Sadegh; Morsali, Alireza; Askarizade, Mohammad; Kermani, Hossein Momenaee Field extension and designing a new \(2\times2\) full-diversity, full-rate and information lossless space-time block code. (English) Zbl 1299.94004 Facta Univ., Ser. Math. Inf. 28, No. 1, 87-96 (2013). MSC: 94A05 12F05 15A15 PDFBibTeX XMLCite \textit{S. Tofigh} et al., Facta Univ., Ser. Math. Inf. 28, No. 1, 87--96 (2013; Zbl 1299.94004)
Ostrowski, Tadeusz; Musyck, Emile Conjecture of two finite fields and its applications. (English) Zbl 1284.94097 Int. J. Contemp. Math. Sci. 8, No. 5-8, 201-219 (2013). MSC: 94A60 11T71 12E20 PDFBibTeX XMLCite \textit{T. Ostrowski} and \textit{E. Musyck}, Int. J. Contemp. Math. Sci. 8, No. 5--8, 201--219 (2013; Zbl 1284.94097) Full Text: DOI Link Link
Grenet, Bruno; Monteil, Thierry; Thomassé, Stéphan Symmetric determinantal representations in characteristic 2. (English) Zbl 1305.15020 Linear Algebra Appl. 439, No. 5, 1364-1381 (2013). MSC: 15A15 11T55 12E05 PDFBibTeX XMLCite \textit{B. Grenet} et al., Linear Algebra Appl. 439, No. 5, 1364--1381 (2013; Zbl 1305.15020) Full Text: DOI arXiv
Erdoğdu, V.; Harman, S. Commutative rings whose prime ideals are radically perfect. (English) Zbl 1282.13016 J. Commut. Algebra 5, No. 4, 527-544 (2013). Reviewer: Siamak Yassemi (Tehran) MSC: 13B25 11C08 11T06 13F20 13M10 16S85 13C15 13F05 13A18 12J20 14H50 PDFBibTeX XMLCite \textit{V. Erdoğdu} and \textit{S. Harman}, J. Commut. Algebra 5, No. 4, 527--544 (2013; Zbl 1282.13016) Full Text: DOI
Chang, Mei-Chu Order of Gauss periods in large characteristic. (English) Zbl 1344.11078 Taiwanese J. Math. 17, No. 2, 621-628 (2013). MSC: 11T30 11B30 11G20 12E20 14G15 PDFBibTeX XMLCite \textit{M.-C. Chang}, Taiwanese J. Math. 17, No. 2, 621--628 (2013; Zbl 1344.11078) Full Text: DOI Link
Ding, Jintai; Schmidt, Dieter Solving degree and degree of regularity for polynomial systems over a finite field. (English) Zbl 1291.94074 Fischlin, Marc (ed.) et al., Number theory and cryptography. Papers in honor of Johannes Buchmann on the occasion of his 60th birthday. Berlin: Springer (ISBN 978-3-642-42000-9/pbk). Lecture Notes in Computer Science 8260, 34-49 (2013). MSC: 94A60 12Y05 11T71 PDFBibTeX XMLCite \textit{J. Ding} and \textit{D. Schmidt}, Lect. Notes Comput. Sci. 8260, 34--49 (2013; Zbl 1291.94074) Full Text: DOI
Zhang, Xiaolei; Hu, Lei Periods of polynomials over a Galois ring. (English) Zbl 1300.12003 Sci. China, Math. 56, No. 9, 1761-1772 (2013). MSC: 12E05 11T06 PDFBibTeX XMLCite \textit{X. Zhang} and \textit{L. Hu}, Sci. China, Math. 56, No. 9, 1761--1772 (2013; Zbl 1300.12003) Full Text: DOI
Gashkov, S. B.; Sergeev, I. S. Complexity of computation in finite fields. (English. Russian original) Zbl 1310.94241 J. Math. Sci., New York 191, No. 5, 661-685 (2013); translation from Fundam. Prikl. Mat. 17(2011/12), No. 4, 95-131 (2012). Reviewer: Olaf Ninnemann (Berlin) MSC: 94C10 11T71 12E20 12Y05 68Q25 68W40 PDFBibTeX XMLCite \textit{S. B. Gashkov} and \textit{I. S. Sergeev}, J. Math. Sci., New York 191, No. 5, 661--685 (2013; Zbl 1310.94241); translation from Fundam. Prikl. Mat. 17(2011/12), No. 4, 95--131 (2012) Full Text: DOI
von zur Gathen, Joachim; Viola, Alfredo; Ziegler, Konstantin Counting reducible, powerful, and relatively irreducible multivariate polynomials over finite fields. (English) Zbl 1348.11094 SIAM J. Discrete Math. 27, No. 2, 855-891 (2013). Reviewer: Astrid Reifegerste (Magdeburg) MSC: 11T06 12E20 12Y05 05A15 PDFBibTeX XMLCite \textit{J. von zur Gathen} et al., SIAM J. Discrete Math. 27, No. 2, 855--891 (2013; Zbl 1348.11094) Full Text: DOI arXiv
Ballet, Stéphane; Chaumine, Jean; Pieltant, Julia Shimura modular curves and asymptotic symmetric tensor rank of multiplication in any finite field. (English) Zbl 1318.11162 Muntean, Traian (ed.) et al., Algebraic informatics. 5th international conference, CAI 2013, Porquerolles, France, September 3–6, 2013. Proceedings. Berlin: Springer (ISBN 978-3-642-40662-1/pbk). Lecture Notes in Computer Science 8080, 160-172 (2013). MSC: 11T71 11G18 12E20 PDFBibTeX XMLCite \textit{S. Ballet} et al., Lect. Notes Comput. Sci. 8080, 160--172 (2013; Zbl 1318.11162) Full Text: DOI arXiv HAL
Mullen, Gary L. (ed.); Panario, Daniel (ed.) [Ball, L. Simeon; Blake, Ian; Blokhuis, Aart; Cioaba, Sebastian M.; Colbourn, Charles J.; Ding, Jintai; Dinitz, Jeffrey H.; Dumas, Jean-Guillaume; Ebert, Gary; Effinger, Gove; Enge, Andreas; Fan, Haining; Gong, Guang; Goss, David; Gupta, Kishan Chand; Hasan, M. Anwarul; Hinkelmann, Franziska; Hirschfeld, James W. P.; Huffman, W. Cary; Jedwab, Jonathan; Jungnickel, Dieter; Laubenbacher, Reinhard; Litsyn, Simon; Menezes, Alfred; Mullen, Gary L.; Murty, Kumar; Murty, M. Ram; Niederreiter, Harald; Pernet, Clément; Pott, Alexander; Roetteler, Martin; Schmidt, Kai-Uwe; Stevens, Brett; Storme, Leo; Takeshita, Oscar; Thas, Joseph A.; Thériault, Nicolas; Wan, Zhe-Xian; Winterhof, Arne; Gow, Roderick; Panario, Daniel; Thomson, David; Yucas, Joseph L.; Kyuregyan, Melsik; Ahmadi, Omran; Cohen, Stephen D.; Hou, Xiang-dong; Voloch, Jose Felipe; Gao, Shuhong; Liao, Qunying; Hachenberger, Dirk; Evans, Ronald J.; Rojas-Leon, Antonio; Ostafe, Alina; Garaev, Moubariz Z.; Fitzgerald, Robert; Castro, Francis; Rubio, Ivelisse; Lidl, Rudolf; Zieve, Michael E.; Carlet, Claude; Charpin, Pascale; Kholosha, Alexander; Coulter, Robert; Wang, Qiang; Fried, Michael D.; McGuire, Gary; Helleseth, Tor; Meidl, Wilfried; Shparlinski, Igor; Doche, Christophe; Giesbrecht, Mark; von zur Gathen, Joachim; Kaltofen, Erich; Lecerf, Gregoire; Odlyzko, Andrew; de Smit, Bart; Lenstra, Hendrik; Silverman, Joseph; Bernstein, Daniel J.; Lange, Tanja; Jacobson, Michael John jun.; Scheidler, Renate; Garcia, Arnaldo; Stichtenoth, Henning; Fu, Lei; Blache, Regis; Wan, Daqing] Handbook of finite fields. (English) Zbl 1319.11001 Discrete Mathematics and Its Applications. Boca Raton, FL: CRC Press (ISBN 978-1-4398-7378-6/hbk; 978-1-4398-7382-3/ebook). xxxv, 1033 p. (2013). Reviewer: Olaf Ninnemann (Berlin) MSC: 11-00 11Txx 12E20 05B20 05C50 11G20 14G15 94A55 94A60 PDFBibTeX XMLCite \textit{G. L. Mullen} (ed.) and \textit{D. Panario} (ed.), Handbook of finite fields. Boca Raton, FL: CRC Press (2013; Zbl 1319.11001) Full Text: DOI