Carlet, Claude; Tan, Yin On group rings and some of their applications to combinatorics and symmetric cryptography. (English) Zbl 1456.94058 Int. J. Group Theory 4, No. 4, 61-74 (2015). MSC: 94A60 05E30 20C05 16S34 PDFBibTeX XMLCite \textit{C. Carlet} and \textit{Y. Tan}, Int. J. Group Theory 4, No. 4, 61--74 (2015; Zbl 1456.94058) Full Text: DOI
Marcolli, Matilde; Tedeschi, Nicolas Entropy algebras and Birkhoff factorization. (English) Zbl 1322.81017 J. Geom. Phys. 97, 243-265 (2015). MSC: 81P45 16Y60 94A17 62B10 PDFBibTeX XMLCite \textit{M. Marcolli} and \textit{N. Tedeschi}, J. Geom. Phys. 97, 243--265 (2015; Zbl 1322.81017) Full Text: DOI arXiv
Fogarty, Neville; Gluesing-Luerssen, Heide A circulant approach to skew-constacyclic codes. (English) Zbl 1343.94094 Finite Fields Appl. 35, 92-114 (2015). MSC: 94B15 11T71 16S36 94B05 PDFBibTeX XMLCite \textit{N. Fogarty} and \textit{H. Gluesing-Luerssen}, Finite Fields Appl. 35, 92--114 (2015; Zbl 1343.94094) Full Text: DOI arXiv
Gao, Yun; Cao, Yonglin On the arithmetic of the endomorphism ring \(\mathrm{End}(\mathbb Z_p[x]_{/\langle\overline f(x)\rangle}\times\mathbb Z_{p^2}[x]_{/\langle f(x)\rangle})\). (English) Zbl 1317.16027 Appl. Algebra Eng. Commun. Comput. 26, No. 3, 305-316 (2015). MSC: 16S50 16W20 13B25 16P10 11T71 94A60 PDFBibTeX XMLCite \textit{Y. Gao} and \textit{Y. Cao}, Appl. Algebra Eng. Commun. Comput. 26, No. 3, 305--316 (2015; Zbl 1317.16027) Full Text: DOI
Tian, Jing Algebraic properties of prefix codes and two subclasses. (Chinese. English summary) Zbl 1324.94026 J. Northwest Univ., Nat. Sci. Ed. 44, No. 6, 869-875 (2014). MSC: 94A45 20M35 16Y60 PDFBibTeX XMLCite \textit{J. Tian}, J. Northwest Univ., Nat. Sci. Ed. 44, No. 6, 869--875 (2014; Zbl 1324.94026)
Tian, Jing; Hu, Gang On a subclass of suffix codes. (Chinese. English summary) Zbl 1324.20045 Pure Appl. Math. 30, No. 4, 360-366 (2014). MSC: 20M35 06F05 16Y60 94A45 PDFBibTeX XMLCite \textit{J. Tian} and \textit{G. Hu}, Pure Appl. Math. 30, No. 4, 360--366 (2014; Zbl 1324.20045) Full Text: DOI
Rostovtsev, A. G.; Mizyukin, A. A. On Boolean ideals and varieties with application to algebraic attacks. (English) Zbl 1311.94096 Nonlinear Phenom. Complex Syst., Minsk 17, No. 3, 242-252 (2014). MSC: 94A60 11T71 16R10 13P10 13P25 PDFBibTeX XMLCite \textit{A. G. Rostovtsev} and \textit{A. A. Mizyukin}, Nonlinear Phenom. Complex Syst., Minsk 17, No. 3, 242--252 (2014; Zbl 1311.94096) Full Text: Link
Climent, Joan-Josep; Navarro, Pedro R.; Tortosa, Leandro An extension of the noncommutative Bergman’s ring with a large number of noninvertible elements. (English) Zbl 1311.94075 Appl. Algebra Eng. Commun. Comput. 25, No. 5, 347-361 (2014). MSC: 94A60 16S50 PDFBibTeX XMLCite \textit{J.-J. Climent} et al., Appl. Algebra Eng. Commun. Comput. 25, No. 5, 347--361 (2014; Zbl 1311.94075) Full Text: DOI
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
Brochero Martínez, F. E.; Giraldo Vergara, C. R. Explicit idempotents of finite group algebras. (English) Zbl 1298.20004 Finite Fields Appl. 28, 123-131 (2014). MSC: 20C05 16S34 94B05 94B15 11T71 PDFBibTeX XMLCite \textit{F. E. Brochero Martínez} and \textit{C. R. Giraldo Vergara}, Finite Fields Appl. 28, 123--131 (2014; Zbl 1298.20004) Full Text: DOI arXiv
Droste, M.; Ésik, Z.; Kuich, W. Conway and iteration hemirings. I. (English) Zbl 1369.16048 Int. J. Algebra Comput. 24, No. 4, 461-482 (2014). MSC: 16Y99 68Q17 94A15 94A60 PDFBibTeX XMLCite \textit{M. Droste} et al., Int. J. Algebra Comput. 24, No. 4, 461--482 (2014; Zbl 1369.16048) Full Text: DOI arXiv
Cao, Yonglin Quasi-cyclic codes of index 2 and skew polynomial rings over finite fields. (English) Zbl 1292.94176 Finite Fields Appl. 27, 143-158 (2014). MSC: 94B05 94B15 11T71 16S36 PDFBibTeX XMLCite \textit{Y. Cao}, Finite Fields Appl. 27, 143--158 (2014; Zbl 1292.94176) Full Text: DOI
Liu, Siyu; Manganiello, Felice; Kschischang, Frank R. Kötter interpolation in skew polynomial rings. (English) Zbl 1322.65041 Des. Codes Cryptography 72, No. 3, 593-608 (2014). MSC: 65D05 41A05 16S36 11T71 PDFBibTeX XMLCite \textit{S. Liu} et al., Des. Codes Cryptography 72, No. 3, 593--608 (2014; Zbl 1322.65041) Full Text: DOI
Hurley, Ted Algebraic structures for communications. (English) Zbl 1365.94016 Morse, Robert Fitzgerald (ed.) et al., Group theory, combinatorics, and computing. Proceedings of the international conference in honor of Daniela Nikolova-Popova’s 60th birthday on group theory, combinatorics and computing, Boca Raton, FL, USA, October 3–8, 2012. Providence, RI: American Mathematical Society (AMS) (ISBN 978-0-8218-9435-4/pbk; 978-1-4704-1524-2/ebook). Contemporary Mathematics 611, 59-78 (2014). Reviewer: Thomas Britz (Sydney) MSC: 94A05 94A60 94Bxx 16S99 52A37 05D15 PDFBibTeX XMLCite \textit{T. Hurley}, Contemp. Math. 611, 59--78 (2014; Zbl 1365.94016)
Hurley, Ted Convolutional codes from unit schemes. arXiv:1412.1695 Preprint, arXiv:1412.1695 [math.RA] (2014). MSC: 94B10 11T71 16S99 BibTeX Cite \textit{T. Hurley}, ``Convolutional codes from unit schemes'', Preprint, arXiv:1412.1695 [math.RA] (2014) Full Text: arXiv OA License
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
Hirano, Yasuyuki; Matsuoka, Manabu Finite rings and Wilson’s theorem. (English) Zbl 1368.11132 Turk. J. Math. 37, No. 4, 571-576 (2013). MSC: 11T30 11T06 13M05 16U60 16P10 PDFBibTeX XMLCite \textit{Y. Hirano} and \textit{M. Matsuoka}, Turk. J. Math. 37, No. 4, 571--576 (2013; Zbl 1368.11132)
Berhuy, Grégory; Oggier, Frédérique An introduction to central simple algebras and their applications to wireless communication. (English) Zbl 1282.12001 Mathematical Surveys and Monographs 191. Providence, RI: American Mathematical Society (AMS) (ISBN 978-0-8218-4937-8/hbk). viii, 276 p. (2013). Reviewer: Ivan D. Chipchakov (Sofia) MSC: 12-02 12E15 16W10 11T71 94A05 PDFBibTeX XMLCite \textit{G. Berhuy} and \textit{F. Oggier}, An introduction to central simple algebras and their applications to wireless communication. Providence, RI: American Mathematical Society (AMS) (2013; Zbl 1282.12001)
Cao, Yonglin; Gao, Jian Constructing quasi-cyclic codes from linear algebra theory. (English) Zbl 1259.94066 Des. Codes Cryptography 67, No. 1, 59-75 (2013). MSC: 94B05 11T71 16S50 94B15 PDFBibTeX XMLCite \textit{Y. Cao} and \textit{J. Gao}, Des. Codes Cryptography 67, No. 1, 59--75 (2013; Zbl 1259.94066) Full Text: DOI
Hurley, Ted Group ring cryptography: Cryptography, key exchange, public key. arXiv:1305.4063 Preprint, arXiv:1305.4063 [cs.CR] (2013). MSC: 94A50 16S34 BibTeX Cite \textit{T. Hurley}, ``Group ring cryptography: Cryptography, key exchange, public key'', Preprint, arXiv:1305.4063 [cs.CR] (2013) Full Text: arXiv OA License
Ali, Rashid; Kreuzer, Martin Weyl Gröbner basis cryptosystems. (English) Zbl 1291.94044 Fine, Benjamin (ed.) et al., Computational and combinatorial group theory and cryptography. AMS special sessions: Computational algebra, groups, and applications, University of Nevada, Las Vegas, NV, USA, April 30–May 1, 2011. Mathematical aspects of cryptography and cyber security, Cornell University, Ithaca, NY, USA, September 10–11, 2011. Providence, RI: American Mathematical Society (AMS) (ISBN 978-0-8218-7563-6/pbk; 978-0-8218-9404-0/ebook). Contemporary Mathematics 582, 1-20 (2012). MSC: 94A60 13P25 16Z05 68P25 68W30 PDFBibTeX XMLCite \textit{R. Ali} and \textit{M. Kreuzer}, Contemp. Math. 582, 1--20 (2012; Zbl 1291.94044) Full Text: DOI Link
Climent, Joan-Josep; Navarro, Pedro R.; Tortosa, Leandro Key exchange protocols over noncommutative rings. The case of End(\(\mathbb Z_p \times \mathbb Z_{p^{2}}\)). (English) Zbl 1277.94020 Int. J. Comput. Math. 89, No. 13-14, 1753-1763 (2012). MSC: 94A60 16L30 PDFBibTeX XMLCite \textit{J.-J. Climent} et al., Int. J. Comput. Math. 89, No. 13--14, 1753--1763 (2012; Zbl 1277.94020) Full Text: DOI
Kamal, Abdel Alim; Youssef, Amr M. Cryptanalysis of a key exchange protocol based on the endomorphisms ring \(\mathrm{End}(\mathbb Z_p\times\mathbb Z_{p^2})\). (English) Zbl 1277.94027 Appl. Algebra Eng. Commun. Comput. 23, No. 3-4, 143-149 (2012). MSC: 94A60 16S50 PDFBibTeX XMLCite \textit{A. A. Kamal} and \textit{A. M. Youssef}, Appl. Algebra Eng. Commun. Comput. 23, No. 3--4, 143--149 (2012; Zbl 1277.94027) Full Text: DOI
Banin, Matan; Tsaban, Boaz The discrete logarithm problem in Bergman’s non-representable ring. (English) Zbl 1264.94093 J. Math. Cryptol. 6, No. 2, 171-182 (2012). Reviewer: Vladimír Lacko (Košice) MSC: 94A60 11T71 16S50 PDFBibTeX XMLCite \textit{M. Banin} and \textit{B. Tsaban}, J. Math. Cryptol. 6, No. 2, 171--182 (2012; Zbl 1264.94093) Full Text: DOI arXiv OA License
Ivanyos, Gábor; Karpinski, Marek; Rónyai, Lajos; Saxena, Nitin Trading GRH for algebra: algorithms for factoring polynomials and related structures. (English) Zbl 1239.68080 Math. Comput. 81, No. 277, 493-531 (2012). Reviewer: Gábor Horváth (Debrecen) MSC: 12Y05 11T06 16Z05 68W30 PDFBibTeX XMLCite \textit{G. Ivanyos} et al., Math. Comput. 81, No. 277, 493--531 (2012; Zbl 1239.68080) Full Text: DOI
Chelvam, T. Tamizh; Asir, T. Domination in the total graph on \(\mathbb Z_n\). (English) Zbl 1247.05098 Discrete Math. Algorithms Appl. 3, No. 4, 413-421 (2011). MSC: 05C25 05C69 16P10 11T99 PDFBibTeX XMLCite \textit{T. T. Chelvam} and \textit{T. Asir}, Discrete Math. Algorithms Appl. 3, No. 4, 413--421 (2011; Zbl 1247.05098) Full Text: DOI
Climent, Joan-Josep; Navarro, Pedro R.; Tortosa, Leandro On the arithmetic of the endomorphisms ring \(\text{End}(\mathbb Z_p\times\mathbb Z_{p^2})\). (English) Zbl 1248.16024 Appl. Algebra Eng. Commun. Comput. 22, No. 2, 91-108 (2011). MSC: 16S50 20K01 20K30 16P10 11T71 94A60 PDFBibTeX XMLCite \textit{J.-J. Climent} et al., Appl. Algebra Eng. Commun. Comput. 22, No. 2, 91--108 (2011; Zbl 1248.16024) Full Text: DOI
Wang, Qingwen; van der Woude, J. W.; Yu, Shaowen An equivalence canonical form of a matrix triplet over an arbitrary division ring with applications. (English) Zbl 1218.15008 Sci. China, Math. 54, No. 5, 907-924 (2011). Reviewer: A. Arvanitoyeorgos (Patras) MSC: 15A21 15A22 15A24 15B33 15A03 16K20 65F30 94A08 PDFBibTeX XMLCite \textit{Q. Wang} et al., Sci. China, Math. 54, No. 5, 907--924 (2011; Zbl 1218.15008) Full Text: DOI
Lescot, Paul Absolute algebra. II: Ideals and spectra. (English) Zbl 1243.06013 J. Pure Appl. Algebra 215, No. 7, 1782-1790 (2011). Reviewer: Anton Deitmar (Tübingen) MSC: 06F05 08C99 11T30 16Y60 20M12 PDFBibTeX XMLCite \textit{P. Lescot}, J. Pure Appl. Algebra 215, No. 7, 1782--1790 (2011; Zbl 1243.06013) Full Text: DOI
Carstensen, Celine; Fine, Benjamin; Rosenberger, Gerhard Abstract algebra. Applications to Galois theory, algebraic geometry and cryptography. (English) Zbl 1213.00004 Sigma Series in Pure Mathematics 11; De Gruyter Graduate. Berlin: Walter de Gruyter; Lemgo: Heldermann Verlag (ISBN 978-3-11-025008-4/pbk). xi, 366 p. (2011). Reviewer: Florentina Chirteş (Craiova) MSC: 00A05 12-01 13-01 16-01 20-01 11T71 94A60 PDFBibTeX XMLCite \textit{C. Carstensen} et al., Abstract algebra. Applications to Galois theory, algebraic geometry and cryptography. Berlin: Walter de Gruyter; Lemgo: Heldermann Verlag (2011; Zbl 1213.00004) Full Text: DOI
Berstel, Jean; Reutenauer, Christophe Noncommutative rational series with applications. (English) Zbl 1250.68007 Encyclopedia of Mathematics and Its Applications 137. Cambridge: Cambridge University Press (ISBN 978-0-521-19022-0/hbk). xiii, 248 p. (2011). Reviewer: Andreas Maletti (Stuttgart) MSC: 68-02 68Q45 12K10 15-02 15A04 16W60 16Y60 26A12 68Q70 94A45 05E15 PDFBibTeX XMLCite \textit{J. Berstel} and \textit{C. Reutenauer}, Noncommutative rational series with applications. Cambridge: Cambridge University Press (2011; Zbl 1250.68007)
Moldovyan, Dmitriy N. Non-commutative finite groups as primitive of public key cryptosystems. (English) Zbl 1251.94036 Quasigroups Relat. Syst. 18, No. 2, 165-176 (2010). Reviewer: Vladimír Lacko (Košice) MSC: 94A60 11G20 11T71 16P10 20D99 PDFBibTeX XMLCite \textit{D. N. Moldovyan}, Quasigroups Relat. Syst. 18, No. 2, 165--176 (2010; Zbl 1251.94036)
Ferraz, Raul A.; Goodaire, Edgar G.; Polcino Milies, César Some classes of semisimple group (and loop) algebras over finite fields. (English) Zbl 1228.20004 J. Algebra 324, No. 12, 3457-3469 (2010). Reviewer: Eric Jespers (Brüssel) MSC: 20C05 17D05 16S34 20N05 16D60 94B05 11T71 PDFBibTeX XMLCite \textit{R. A. Ferraz} et al., J. Algebra 324, No. 12, 3457--3469 (2010; Zbl 1228.20004) Full Text: DOI arXiv
Hollanti, C. Cyclic division algebras in space-time coding: a brief overview. (English) Zbl 1192.94082 Hobbs, Catherine (ed.) et al., European women in mathematics. Proceedings of the 13th general meeting, EWM, Cambridge, UK, September 3–6, 2007. Hackensack, NJ: World Scientific (ISBN 978-981-4277-67-9/hbk). 143-152 (2010). MSC: 94A29 16K20 PDFBibTeX XMLCite \textit{C. Hollanti}, in: European women in mathematics. Proceedings of the 13th general meeting, EWM, Cambridge, UK, September 3--6, 2007. Hackensack, NJ: World Scientific. 143--152 (2010; Zbl 1192.94082) Full Text: DOI
Vehkalahti, Roope; Hollanti, Camilla; Lahtonen, Jyrki; Ranto, Kalle On the densest MIMO lattices from cyclic division algebras. (English) Zbl 1367.94220 IEEE Trans. Inf. Theory 55, No. 8, 3751-3780 (2009). MSC: 94A29 16K20 PDFBibTeX XMLCite \textit{R. Vehkalahti} et al., IEEE Trans. Inf. Theory 55, No. 8, 3751--3780 (2009; Zbl 1367.94220) Full Text: DOI
Berhuy, Grégory; Oggier, Frédérique On the existence of perfect space-time codes. (English) Zbl 1367.94195 IEEE Trans. Inf. Theory 55, No. 5, 2078-2082 (2009). MSC: 94A29 16K20 PDFBibTeX XMLCite \textit{G. Berhuy} and \textit{F. Oggier}, IEEE Trans. Inf. Theory 55, No. 5, 2078--2082 (2009; Zbl 1367.94195) Full Text: DOI
Grigoriev, D.; Kojevnikov, A.; Nikolenko, S. J. Algebraic cryptography: new constructions and their security against provable break. (English. Russian original) Zbl 1206.94069 St. Petersbg. Math. J. 20, No. 6, 937-953 (2009); translation from Algebra Anal. 20, No. 6, 119-147 (2008). MSC: 94A60 16Z05 68P25 11T71 PDFBibTeX XMLCite \textit{D. Grigoriev} et al., St. Petersbg. Math. J. 20, No. 6, 937--953 (2009; Zbl 1206.94069); translation from Algebra Anal. 20, No. 6, 119--147 (2008) Full Text: DOI
Dinh, Hai Quang On linear codes over finite rings and modules. (English) Zbl 1209.94065 East-West J. Math. 11, No. 1, 1-149 (2009). Reviewer: Ralph-Hardo Schulz (Berlin) MSC: 94B15 94B05 11T71 94B60 16L60 16P10 PDFBibTeX XMLCite \textit{H. Q. Dinh}, East-West J. Math. 11, No. 1, 1--149 (2009; Zbl 1209.94065)
Günther, Annika A mass formula for self-dual permutation codes. (English) Zbl 1187.94041 Finite Fields Appl. 15, No. 4, 517-533 (2009). Reviewer: Štefan Porubský (Praha) MSC: 94B27 11T71 16S34 PDFBibTeX XMLCite \textit{A. Günther}, Finite Fields Appl. 15, No. 4, 517--533 (2009; Zbl 1187.94041) Full Text: DOI
Humphries, Stephen P. Intersection theories and Chebyshev polynomials. III. (English) Zbl 1243.57012 J. Algebra Appl. 8, No. 1, 53-81 (2009). MSC: 57M50 11T06 16S99 33C45 PDFBibTeX XMLCite \textit{S. P. Humphries}, J. Algebra Appl. 8, No. 1, 53--81 (2009; Zbl 1243.57012) Full Text: DOI
Qiu, Derong Sum-factor decompositions in rings and arithmetic applications I. arXiv:0912.4412 Preprint, arXiv:0912.4412 [math.NT] (2009). MSC: 11P32 05D05 11A41 11T55 13A99 16H05 BibTeX Cite \textit{D. Qiu}, ``Sum-factor decompositions in rings and arithmetic applications I'', Preprint, arXiv:0912.4412 [math.NT] (2009) Full Text: arXiv OA License
Lahtonen, Jyrki T.; Markin, Nadya; McGuire, Gary Construction of multiblock space-time codes from division algebras with roots of unity as nonnorm elements. (English) Zbl 1319.94011 IEEE Trans. Inf. Theory 54, No. 11, 5231-5235 (2008). MSC: 94A05 16K20 94B60 PDFBibTeX XMLCite \textit{J. T. Lahtonen} et al., IEEE Trans. Inf. Theory 54, No. 11, 5231--5235 (2008; Zbl 1319.94011) Full Text: DOI
Hollanti, Camilla; Lahtonen, Jyrki T.; Lu, Hsiao-Feng Maximal orders in the design of dense space-time lattice codes. (English) Zbl 1322.94117 IEEE Trans. Inf. Theory 54, No. 10, 4493-4510 (2008). MSC: 94B60 16K20 94A40 PDFBibTeX XMLCite \textit{C. Hollanti} et al., IEEE Trans. Inf. Theory 54, No. 10, 4493--4510 (2008; Zbl 1322.94117) Full Text: DOI arXiv
Rososhek, S. K. Cryptosystems in automorphism groups of group rings of Abelian groups. (English. Russian original) Zbl 1156.94375 J. Math. Sci., New York 154, No. 3, 386-391 (2008); translation from Fundam. Prikl. Mat. 13, No. 3, 157-164 (2007). MSC: 94A60 20C05 16S34 PDFBibTeX XMLCite \textit{S. K. Rososhek}, J. Math. Sci., New York 154, No. 3, 386--391 (2008; Zbl 1156.94375); translation from Fundam. Prikl. Mat. 13, No. 3, 157--164 (2007) Full Text: DOI
Frey, Gerhard Discrete logarithms, duality, and arithmetic in Brauer groups. (English) Zbl 1151.14315 Chaumine, Jean (ed.) et al., Algebraic geometry and its applications. Dedicated to Gilles Lachaud on his 60th birthday. Proceedings of the first SAGA conference, Papeete, France, May 7–11, 2007. Hackensack, NJ: World Scientific (ISBN 978-981-279-342-3/hbk). Series on Number Theory and Its Applications 5, 241-272 (2008). MSC: 14G50 14F22 11R37 94A60 16K50 11T71 PDFBibTeX XMLCite \textit{G. Frey}, Ser. Number Theory Appl. 5, 241--272 (2008; Zbl 1151.14315) Full Text: DOI
Prasolov, Andrei V. Cryptosystems based on semi-distributive algebras. (English) Zbl 1177.94171 Ann. Univ. Ferrara, Sez. VII, Sci. Mat. 53, No. 2, 381-392 (2007). MSC: 94A60 16Y30 16Y99 PDFBibTeX XMLCite \textit{A. V. Prasolov}, Ann. Univ. Ferrara, Sez. VII, Sci. Mat. 53, No. 2, 381--392 (2007; Zbl 1177.94171) Full Text: DOI
Lahtonen, Jyrki; Vehkalahti, Roope Dense MIMO matrix lattices – a meeting point for class field theory and invariant theory. (English) Zbl 1195.94045 Boztaş, Serdar (ed.) et al., Applied algebra, algebraic algorithms and error-correcting codes. 17th international symposium, AAECC-17, Bangalore, India, December 16–20, 2007. Proceedings. Berlin: Springer (ISBN 978-3-540-77223-1/pbk). Lecture Notes in Computer Science 4851, 247-256 (2007). MSC: 94A29 16K20 11R37 PDFBibTeX XMLCite \textit{J. Lahtonen} and \textit{R. Vehkalahti}, Lect. Notes Comput. Sci. 4851, 247--256 (2007; Zbl 1195.94045) Full Text: DOI
Maze, Gérard; Monico, Chris; Rosenthal, Joachim Public key cryptography based on semigroup actions. (English) Zbl 1194.94190 Adv. Math. Commun. 1, No. 4, 489-507 (2007). MSC: 94A60 11T71 16Y60 PDFBibTeX XMLCite \textit{G. Maze} et al., Adv. Math. Commun. 1, No. 4, 489--507 (2007; Zbl 1194.94190) Full Text: DOI arXiv
Özbudak, Ferruh; Solé, Patrick Gilbert-Varshamov type bounds for linear codes over finite chain rings. (English) Zbl 1113.94012 Adv. Math. Commun. 1, No. 1, 99-109 (2007). Reviewer: Zlatko Varbanov (Veliko Tarnovo) MSC: 94B65 94B05 11T71 16P10 PDFBibTeX XMLCite \textit{F. Özbudak} and \textit{P. Solé}, Adv. Math. Commun. 1, No. 1, 99--109 (2007; Zbl 1113.94012) Full Text: DOI
Gluesing-Luerssen, Heide; Langfeld, Barbara A class of one-dimensional MDS convolutional codes. (English) Zbl 1103.94029 J. Algebra Appl. 5, No. 4, 505-520 (2006). MSC: 94B10 94B15 94B65 16S36 11T71 PDFBibTeX XMLCite \textit{H. Gluesing-Luerssen} and \textit{B. Langfeld}, J. Algebra Appl. 5, No. 4, 505--520 (2006; Zbl 1103.94029) Full Text: DOI arXiv
Greferath, Marcus; López-Permouth, Sergio R. On the role of rings and modules in algebraic coding theory. (English) Zbl 1097.94029 Giambruno, Antonio (ed.) et al., Groups, rings and group rings. Proceedings of the conference, Ubatuba, Brazil, July 26–31, 2004. In honor of the 60th birthday of Prof. César Polcino Milies. Boca Raton, FL: Chapman & Hall/CRC (ISBN 1-58488-581-5/pbk). Lecture Notes in Pure and Applied Mathematics 248, 205-216 (2006). MSC: 94B05 94B65 11T71 94B35 16L60 16P10 PDFBibTeX XMLCite \textit{M. Greferath} and \textit{S. R. López-Permouth}, Lect. Notes Pure Appl. Math. 248, 205--216 (2006; Zbl 1097.94029)
Pott, Alexander Group algebras and correlation immune functions. (English) Zbl 1145.94450 Helleseth, T. (ed.) et al., Sequences and their applications – SETA 2004. Third international conference, Seoul, Korea, October 24–28, 2004. Revised selected papers. Berlin: Springer (ISBN 978-3-540-26084-4/pbk). Lecture Notes in Computer Science 3486, 437-450 (2005). MSC: 94A60 06E30 16S34 PDFBibTeX XMLCite \textit{A. Pott}, Lect. Notes Comput. Sci. 3486, 437--450 (2005; Zbl 1145.94450) Full Text: DOI
Neuerburg, Kent M. Semi-nearrings of bivariate polynomials over a field. (English) Zbl 1093.16035 Kiechle, Hubert (ed.) et al., Nearrings and nearfields. Proceedings of the conference on nearrings and nearfields, Hamburg, Germany, July 27–August 3, 2003. Dordrecht: Springer (ISBN 1-4020-3390-7/hbk; 1-4020-3391-5/e-book). 253-262 (2005). Reviewer: Wen-Fong Ke (Tainan) MSC: 16Y30 11T06 12K99 13P99 12E05 PDFBibTeX XMLCite \textit{K. M. Neuerburg}, in: Nearrings and nearfields. Proceedings of the conference on nearrings and nearfields, Hamburg, Germany, July 27--August 3, 2003. Dordrecht: Springer. 253--262 (2005; Zbl 1093.16035)
Dorninger, Dietmar; Länger, Helmut; Mączyński, Maciej On ring-like structures related to symmetric cryptosystems. (English) Zbl 1084.08002 Demonstr. Math. 38, No. 2, 265-276 (2005). Reviewer: Albert A. Mullin (Madison) MSC: 08A62 16Y99 94A60 12L99 06C15 PDFBibTeX XMLCite \textit{D. Dorninger} et al., Demonstr. Math. 38, No. 2, 265--276 (2005; Zbl 1084.08002) Full Text: DOI OA License
Kozlitin, O. A. Polynomial transformations of GEO-rings of prime characteristic. (English. Russian original) Zbl 1102.16013 Discrete Math. Appl. 14, No. 4, 373-384 (2004); translation from Diskretn. Mat. 16, No. 3, 105-117 (2004). MSC: 16P10 16S36 08A40 11T06 16R50 PDFBibTeX XMLCite \textit{O. A. Kozlitin}, Discrete Math. Appl. 14, No. 4, 373--384 (2004; Zbl 1102.16013); translation from Diskretn. Mat. 16, No. 3, 105--117 (2004) Full Text: DOI
An, Myoung; Byrnes, Jim; Moran, William; Saffari, B.; Shapiro, Harold S.; Tolimieri, Richard Pons, Reed-Muller codes, and group algebras. (English) Zbl 1090.94009 Byrnes, Jim (ed.) et al., Computational noncommutative algebra and applications. Proceedings of the NATO Advanced Study Institute, Il Ciocco, Italy, July 6–19, 2003. Dordrecht: Kluwer Academic Publishers (ISBN 1-4020-1983-1/pbk; 1-4020-1982-3/hbk; 1-4020-2307-3/e-book). NATO Science Series II: Mathematics, Physics and Chemistry 136, 155-196 (2004). MSC: 94A15 94B05 41A58 16S34 PDFBibTeX XMLCite \textit{M. An} et al., NATO Sci. Ser. II, Math. Phys. Chem. 136, 155--196 (2004; Zbl 1090.94009)
Agrawal, Rajeev; Baccelli, François; Rajan, Rajendran An algebra for queueing networks with time-varying service and its application to the analysis of integrated service networks. (English) Zbl 1082.60079 Math. Oper. Res. 29, No. 3, 559-591 (2004). MSC: 60K25 16Y99 68M10 90B18 93E15 94A05 PDFBibTeX XMLCite \textit{R. Agrawal} et al., Math. Oper. Res. 29, No. 3, 559--591 (2004; Zbl 1082.60079) Full Text: DOI Link
Dinh, Hai Quang; López-Permouth, Sergio R. On the equivalence of codes over finite rings. (English) Zbl 1055.94030 Appl. Algebra Eng. Commun. Comput. 15, No. 1, 37-50 (2004). Reviewer: Graham H. Norton (Brisbane) MSC: 94B05 16L60 16P10 11T71 PDFBibTeX XMLCite \textit{H. Q. Dinh} and \textit{S. R. López-Permouth}, Appl. Algebra Eng. Commun. Comput. 15, No. 1, 37--50 (2004; Zbl 1055.94030) Full Text: DOI
Lu, Peizhong; Liu, Mulan; Oberst, Ulrich Linear recurring arrays, linear systems and multidimensional cyclic codes over quasi-Frobenius rings. (English) Zbl 1082.94017 Acta Appl. Math. 80, No. 2, 175-198 (2004). Reviewer: Patrice Parraud (Guer) MSC: 94B15 16L60 93C35 94A60 PDFBibTeX XMLCite \textit{P. Lu} et al., Acta Appl. Math. 80, No. 2, 175--198 (2004; Zbl 1082.94017) Full Text: DOI
Sethuraman, B. A.; Rajan, B. Sundar; Shashidhar, V. Full-diversity, high-rate space-time block codes from division algebras. (English) Zbl 1301.94067 IEEE Trans. Inf. Theory 49, No. 10, 2596-2616 (2003). MSC: 94A29 94B25 16K20 PDFBibTeX XMLCite \textit{B. A. Sethuraman} et al., IEEE Trans. Inf. Theory 49, No. 10, 2596--2616 (2003; Zbl 1301.94067) Full Text: DOI
Rosenthal, Joachim A polynomial description of the Rijndael Advanced Encryption Standard. (English) Zbl 1048.94014 J. Algebra Appl. 2, No. 2, 223-236 (2003). Reviewer: Richard A. Mollin (Calgary) MSC: 94A60 68P25 16P10 PDFBibTeX XMLCite \textit{J. Rosenthal}, J. Algebra Appl. 2, No. 2, 223--236 (2003; Zbl 1048.94014) Full Text: DOI arXiv
Hou, Xiang-Dong; Leung, Ka Hin; Ma, Siu Lun On the groups of units of finite commutative chain rings. (English) Zbl 1088.13010 Finite Fields Appl. 9, No. 1, 20-38 (2003). Reviewer: Hai Quang Dinh (Warren) MSC: 13M05 16U60 11T30 PDFBibTeX XMLCite \textit{X.-D. Hou} et al., Finite Fields Appl. 9, No. 1, 20--38 (2003; Zbl 1088.13010) Full Text: DOI
Petrenko, B. V. On a Theorem of Lenstra and Schoof. arXiv:math/0209106 Preprint, arXiv:math/0209106 [math.NT] (2002). MSC: 12F10 16K20 20C05 11T30 12E20 BibTeX Cite \textit{B. V. Petrenko}, ``On a Theorem of Lenstra and Schoof'', Preprint, arXiv:math/0209106 [math.NT] (2002) Full Text: arXiv
Coulter, Robert S.; Havas, George; Henderson, Marie Giesbrecht’s algorithm, the HFE cryptosystem and Ore’s \(p^s\)-polynomials. (English) Zbl 1018.12011 Shirayanagi, Kiyoshi (ed.) et al., Computer mathematics. Proceedings of the 5th Asian symposium (ASCM 2001), Matsuyama, Japan, September 26-28, 2001. Singapore: World Scientific. Lect. Notes Ser. Comput. 9, 36-45 (2001). MSC: 12Y05 94A60 16S34 PDFBibTeX XMLCite \textit{R. S. Coulter} et al., Lect. Notes Ser. Comput. 9, 36--45 (2001; Zbl 1018.12011) Full Text: arXiv
Mittelholzer, Thomas Linear codes and their duals over artinian rings. (English) Zbl 1015.94012 Marcus, Brian (ed.) et al., Codes, systems, and graphical models. IMA workshop, Minneapolis, MN, USA, August 2-13, 1999. New York, NY: Springer. IMA Vol. Math. Appl. 123, 361-379 (2001). Reviewer: Ivan Landjev (Sofia) MSC: 94B05 16P20 94B10 11T71 PDFBibTeX XMLCite \textit{T. Mittelholzer}, IMA Vol. Math. Appl. 123, 361--379 (2001; Zbl 1015.94012)
Langevin, Philippe; Solé, Patrick Gauss sums over quasi-Frobenius rings. (English) Zbl 1014.11075 Jungnickel, Dieter (ed.) et al., Finite fields and applications. Proceedings of the fifth international conference on finite fields and applications \(F_q5\), University of Augsburg, Germany, August 2-6, 1999. Berlin: Springer. 329-340 (2001). Reviewer: Arne Winterhof (Wien) MSC: 11T24 11T23 16L60 11L07 PDFBibTeX XMLCite \textit{P. Langevin} and \textit{P. Solé}, in: Finite fields and applications. Proceedings of the fifth international conference on finite fields and applications \(F_q5\), University of Augsburg, Germany, August 2--6, 1999. Berlin: Springer. 329--340 (2001; Zbl 1014.11075)
Honold, Thomas; Heise, Werner Homogeneous and egalitarian weights on finite rings. (English) Zbl 1072.11093 Seventh international workshop on algebraic and combinatorial coding theory, ACCT-7, Bansko, Bulgaria, June 18–24, 2000. Proceedings. Sofia: Bulgarian Academy of Sciences, Institute of Mathematics and Informatics. 183-188 (2000). Reviewer: F. I. Solov’eva (Novosibirsk) MSC: 11T71 16S99 94B05 PDFBibTeX XMLCite \textit{T. Honold} and \textit{W. Heise}, in: Seventh international workshop on algebraic and combinatorial coding theory, ACCT-7, Bansko, Bulgaria, June 18--24, 2000. Proceedings. Sofia: Bulgarian Academy of Sciences, Institute of Mathematics and Informatics. 183--188 (2000; Zbl 1072.11093)
Kurakin, V. L.; Mikhalev, A. V.; Nechaev, A. A. Polylinear recurring sequences over a bimodule. (English) Zbl 0992.94026 Krob, Daniel (ed.) et al., Formal power series and algebraic combinatorics. Proceedings of the 12th international conference, FPSAC’00, Moscow, Russia, June 26-30, 2000. Berlin: Springer. 484-495 (2000). MSC: 94A55 16D99 PDFBibTeX XMLCite \textit{V. L. Kurakin} et al., in: Formal power series and algebraic combinatorics. Proceedings of the 12th international conference, FPSAC'00, Moscow, Russia, June 26--30, 2000. Berlin: Springer. 484--495 (2000; Zbl 0992.94026)
Kurakin, V. L. Construction of the annihilator of a linear recurring sequence over finite module with the help of the Berlekamp-Massey algorithm. (English) Zbl 1060.94011 Krob, Daniel (ed.) et al., Formal power series and algebraic combinatorics. Proceedings of the 12th international conference, FPSAC’00, Moscow, Russia, June 26–30, 2000. Berlin: Springer (ISBN 3-540-67247-8/hbk). 476-483 (2000). Reviewer: Jilyana Cazaran (MR1798241) MSC: 94A55 16D80 16P10 11B37 PDFBibTeX XMLCite \textit{V. L. Kurakin}, in: Formal power series and algebraic combinatorics. Proceedings of the 12th international conference, FPSAC'00, Moscow, Russia, June 26--30, 2000. Berlin: Springer. 476--483 (2000; Zbl 1060.94011)
Kochubei, Anatoly N. Differential equations for \({\mathbb F}_q\)-linear functions. (English) Zbl 1010.11066 J. Number Theory 83, No. 1, 137-154 (2000). MSC: 11R58 34M99 34A99 11T99 16S32 PDFBibTeX XMLCite \textit{A. N. Kochubei}, J. Number Theory 83, No. 1, 137--154 (2000; Zbl 1010.11066) Full Text: DOI arXiv