Kyureghyan, Gohar; Li, Shuxing; Pott, Alexander On the intersection distribution of degree three polynomials and related topics. (English) Zbl 07361304 Electron. J. Comb. 28, No. 2, Research Paper P2.46, 25 p. (2021). MSC: 11T06 51E15 51E10 05B07 PDF BibTeX XML Cite \textit{G. Kyureghyan} et al., Electron. J. Comb. 28, No. 2, Research Paper P2.46, 25 p. (2021; Zbl 07361304) Full Text: DOI
Kuo, Wentang; Yamagishi, Shuntaro Sidon basis in polynomial rings over finite fields. (English) Zbl 07361085 Czech. Math. J. 71, No. 2, 555-562 (2021). MSC: 11K31 11B83 11T55 PDF BibTeX XML Cite \textit{W. Kuo} and \textit{S. Yamagishi}, Czech. Math. J. 71, No. 2, 555--562 (2021; Zbl 07361085) Full Text: DOI
Cohen, Boaz Chebyshev polynomials and Pell equations over finite fields. (English) Zbl 07361081 Czech. Math. J. 71, No. 2, 491-510 (2021). MSC: 12E20 11D09 12E10 11D79 11T99 PDF BibTeX XML Cite \textit{B. Cohen}, Czech. Math. J. 71, No. 2, 491--510 (2021; Zbl 07361081) Full Text: DOI
Araujo, Filipe; Neves, Samuel The circulant hash revisited. (English) Zbl 07360418 J. Math. Cryptol. 15, No. 1, 250-257 (2021). MSC: 94A60 94A62 11T71 PDF BibTeX XML Cite \textit{F. Araujo} and \textit{S. Neves}, J. Math. Cryptol. 15, No. 1, 250--257 (2021; Zbl 07360418) Full Text: DOI
De Bruyn, Bart On ovoids of the generalized quadrangle \(H(3,q^2)\). (English) Zbl 07360386 Ann. Comb. 25, No. 2, 495-514 (2021). MSC: 51E12 51E20 11T06 PDF BibTeX XML Cite \textit{B. De Bruyn}, Ann. Comb. 25, No. 2, 495--514 (2021; Zbl 07360386) Full Text: DOI
Tokareva, Natalia Nikolaevna; Shaporenko, Alexander Sergeyevich; Solé; Patrick Connections between quaternary and Boolean bent functions. (English) Zbl 07360168 Sib. Èlektron. Mat. Izv. 18, 561-578 (2021). MSC: 06E30 11T71 14G50 PDF BibTeX XML Cite \textit{N. N. Tokareva} et al., Sib. Èlektron. Mat. Izv. 18, 561--578 (2021; Zbl 07360168) Full Text: DOI
Yankov, Nikolay; Anev, Damyan On the self-dual codes with an automorphism of order 5. (English) Zbl 07357744 Appl. Algebra Eng. Commun. Comput. 32, No. 2, 97-111 (2021). MSC: 94B05 11T71 PDF BibTeX XML Cite \textit{N. Yankov} and \textit{D. Anev}, Appl. Algebra Eng. Commun. Comput. 32, No. 2, 97--111 (2021; Zbl 07357744) Full Text: DOI
Lipiński, Z. Symmetric and asymmetric cryptographic key exchange protocols in the octonion algebra. (English) Zbl 07357743 Appl. Algebra Eng. Commun. Comput. 32, No. 1, 81-96 (2021). MSC: 68P25 94A60 11T71 PDF BibTeX XML Cite \textit{Z. Lipiński}, Appl. Algebra Eng. Commun. Comput. 32, No. 1, 81--96 (2021; Zbl 07357743) Full Text: DOI
Qi, Minglong; Xiong, Shengwu Complete weight enumerators of two classes of linear codes with a few weights. (English) Zbl 07357742 Appl. Algebra Eng. Commun. Comput. 32, No. 1, 63-79 (2021). MSC: 94B05 11T71 11T23 94B60 PDF BibTeX XML Cite \textit{M. Qi} and \textit{S. Xiong}, Appl. Algebra Eng. Commun. Comput. 32, No. 1, 63--79 (2021; Zbl 07357742) Full Text: DOI
Maire, Christian; Page, Aurel Codes from unit groups of division algebras over number fields. (English) Zbl 07357478 Math. Z. 298, No. 1-2, 327-348 (2021). MSC: 94B40 11R52 11T71 94B75 PDF BibTeX XML Cite \textit{C. Maire} and \textit{A. Page}, Math. Z. 298, No. 1--2, 327--348 (2021; Zbl 07357478) Full Text: DOI
Li, Fei; Li, Xiumei Weight distributions and weight hierarchies of two classes of binary linear codes. (English) Zbl 07357332 Finite Fields Appl. 73, Article ID 101865, 17 p. (2021). MSC: 94B05 11T71 PDF BibTeX XML Cite \textit{F. Li} and \textit{X. Li}, Finite Fields Appl. 73, Article ID 101865, 17 p. (2021; Zbl 07357332) Full Text: DOI
Aguirre, Josimar J. R.; Neumann, Victor G. L. Existence of primitive 2-normal elements in finite fields. (English) Zbl 07357331 Finite Fields Appl. 73, Article ID 101864, 26 p. (2021). MSC: 12E20 11T23 PDF BibTeX XML Cite \textit{J. J. R. Aguirre} and \textit{V. G. L. Neumann}, Finite Fields Appl. 73, Article ID 101864, 26 p. (2021; Zbl 07357331) Full Text: DOI
Alonso-González, Clementa; Navarro-Pérez, Miguel Ángel; Soler-Escrivà, Xaro An orbital construction of optimum distance flag codes. (English) Zbl 07357328 Finite Fields Appl. 73, Article ID 101861, 21 p. (2021). MSC: 11T71 51E99 94B60 PDF BibTeX XML Cite \textit{C. Alonso-González} et al., Finite Fields Appl. 73, Article ID 101861, 21 p. (2021; Zbl 07357328) Full Text: DOI
Wang, Hong-Yu; Zheng, Qun-Xiong; Wang, Zhong-Xiao; Zhao, Xiao-Xin; Qi, Wen-Feng A new result on irreducible NFSRs with respect to cascade connection. (English) Zbl 07357326 Finite Fields Appl. 73, Article ID 101859, 20 p. (2021). MSC: 94A55 94A60 11T06 PDF BibTeX XML Cite \textit{H.-Y. Wang} et al., Finite Fields Appl. 73, Article ID 101859, 20 p. (2021; Zbl 07357326) Full Text: DOI
Breuer, Florian Multiplicative orders of Gauss periods and the arithmetic of real quadratic fields. (English) Zbl 07357323 Finite Fields Appl. 73, Article ID 101848, 9 p. (2021). MSC: 11T30 11R11 11R29 PDF BibTeX XML Cite \textit{F. Breuer}, Finite Fields Appl. 73, Article ID 101848, 9 p. (2021; Zbl 07357323) Full Text: DOI
Chen, Yuting; Wang, Liqi; Zhu, Shixin On the constructions of \(n\)-cycle permutations. (English) Zbl 07357322 Finite Fields Appl. 73, Article ID 101847, 25 p. (2021). MSC: 11T06 PDF BibTeX XML Cite \textit{Y. Chen} et al., Finite Fields Appl. 73, Article ID 101847, 25 p. (2021; Zbl 07357322) Full Text: DOI
Hollmann, Henk D. L.; Zhanbulatuly, Medet Some basic results on finite linear recurring sequence subgroups. (English) Zbl 07357319 Finite Fields Appl. 73, Article ID 101844, 16 p. (2021). MSC: 11B37 11T99 PDF BibTeX XML Cite \textit{H. D. L. Hollmann} and \textit{M. Zhanbulatuly}, Finite Fields Appl. 73, Article ID 101844, 16 p. (2021; Zbl 07357319) Full Text: DOI
Lu, Qing; Zheng, Weizhe On the distribution of multivariate Jacobi sums. (English) Zbl 07357315 Finite Fields Appl. 73, Article ID 101840, 7 p. (2021). MSC: 11T24 11K38 14G15 PDF BibTeX XML Cite \textit{Q. Lu} and \textit{W. Zheng}, Finite Fields Appl. 73, Article ID 101840, 7 p. (2021; Zbl 07357315) Full Text: DOI
Carvalho, Cícero; Guardieiro, João Paulo; Neumann, Victor G. L.; Tizziotti, Guilherme On special pairs of primitive elements over a finite field. (English) Zbl 07357314 Finite Fields Appl. 73, Article ID 101839, 10 p. (2021). MSC: 12E20 11T23 PDF BibTeX XML Cite \textit{C. Carvalho} et al., Finite Fields Appl. 73, Article ID 101839, 10 p. (2021; Zbl 07357314) Full Text: DOI
Kurlberg, Pär; Rosenzweig, Lior The Chebotarev density theorem for function fields – incomplete intervals. (English) Zbl 07357313 Finite Fields Appl. 73, Article ID 101838, 15 p. (2021). MSC: 11R58 11T06 11N37 11R45 PDF BibTeX XML Cite \textit{P. Kurlberg} and \textit{L. Rosenzweig}, Finite Fields Appl. 73, Article ID 101838, 15 p. (2021; Zbl 07357313) Full Text: DOI
Oliveira, Daniela; Reis, Lucas On polynomials \(x^n-1\) over binary fields whose irreducible factors are binomials and trinomials. (English) Zbl 07357312 Finite Fields Appl. 73, Article ID 101837, 11 p. (2021). MSC: 11T06 11T55 PDF BibTeX XML Cite \textit{D. Oliveira} and \textit{L. Reis}, Finite Fields Appl. 73, Article ID 101837, 11 p. (2021; Zbl 07357312) Full Text: DOI
Reis, Lucas Mean value theorems for a class of density-like arithmetic functions. (English) Zbl 07357019 Int. J. Number Theory 17, No. 4, 1013-1027 (2021). MSC: 11H60 11N37 11T30 PDF BibTeX XML Cite \textit{L. Reis}, Int. J. Number Theory 17, No. 4, 1013--1027 (2021; Zbl 07357019) Full Text: DOI
Gorodetsky, Ofir; Rodgers, Brad Traces of powers of matrices over finite fields. (English) Zbl 07356611 Trans. Am. Math. Soc. 374, No. 7, 4579-4638 (2021). MSC: 60B20 60B15 20G40 11T55 15B52 PDF BibTeX XML Cite \textit{O. Gorodetsky} and \textit{B. Rodgers}, Trans. Am. Math. Soc. 374, No. 7, 4579--4638 (2021; Zbl 07356611) Full Text: DOI
Jones, Edna Local densities of diagonal integral ternary quadratic forms at odd primes. (English) Zbl 07354707 Int. J. Number Theory 17, No. 3, 547-575 (2021). MSC: 11E08 11E20 11D85 11L05 11T23 PDF BibTeX XML Cite \textit{E. Jones}, Int. J. Number Theory 17, No. 3, 547--575 (2021; Zbl 07354707) Full Text: DOI
Augot, Daniel; Couvreur, Alain; Lavauzelle, Julien; Neri, Alessandro Rank-metric codes over arbitrary Galois extensions and rank analogues of Reed-Muller codes. (English) Zbl 07353932 SIAM J. Appl. Algebra Geom. 5, No. 2, 165-199 (2021). MSC: 11T71 94B05 16S35 PDF BibTeX XML Cite \textit{D. Augot} et al., SIAM J. Appl. Algebra Geom. 5, No. 2, 165--199 (2021; Zbl 07353932) Full Text: DOI
Tripathi, Mohit; Barman, Rupam Appell series over finite fields and Gaussian hypergeometric series. (English) Zbl 07353452 Res. Math. Sci. 8, No. 2, Paper No. 28, 34 p. (2021). MSC: 33C05 33C20 11T24 PDF BibTeX XML Cite \textit{M. Tripathi} and \textit{R. Barman}, Res. Math. Sci. 8, No. 2, Paper No. 28, 34 p. (2021; Zbl 07353452) Full Text: DOI
Shparlinski, Igor E.; Wang, Qiang Exponential sums with sparse polynomials over finite fields. (English) Zbl 07352341 SIAM J. Discrete Math. 35, No. 2, 976-987 (2021). MSC: 11L07 11T23 PDF BibTeX XML Cite \textit{I. E. Shparlinski} and \textit{Q. Wang}, SIAM J. Discrete Math. 35, No. 2, 976--987 (2021; Zbl 07352341) Full Text: DOI
Djanković, Goran; Đokić, Dragan; Lelas, Nikola The triple reciprocity law for the twisted second moments of Dirichlet \(L\)-functions over function fields. (English) Zbl 07352287 Proc. Am. Math. Soc. 149, No. 7, 2851-2860 (2021). MSC: 11M38 11T06 11T55 PDF BibTeX XML Cite \textit{G. Djanković} et al., Proc. Am. Math. Soc. 149, No. 7, 2851--2860 (2021; Zbl 07352287) Full Text: DOI
Lichtin, Ben Averages of point configuration problems over finite \(p\)-adic rings. (English) Zbl 07352285 Proc. Am. Math. Soc. 149, No. 7, 2825-2839 (2021). MSC: 11T24 52C10 PDF BibTeX XML Cite \textit{B. Lichtin}, Proc. Am. Math. Soc. 149, No. 7, 2825--2839 (2021; Zbl 07352285) Full Text: DOI
Chistov, A. L. Subexponential-time computation of isolated primary components of a polynomial ideal. (English. Russian original) Zbl 07351197 J. Math. Sci., New York 255, No. 2, 143-148 (2021); translation from Zap. Nauchn. Semin. POMI 498, 55-63 (2020). MSC: 13P 11Y 11T 68W 14A 12Y PDF BibTeX XML Cite \textit{A. L. Chistov}, J. Math. Sci., New York 255, No. 2, 143--148 (2021; Zbl 07351197); translation from Zap. Nauchn. Semin. POMI 498, 55--63 (2020) Full Text: DOI
Joye, Marc; Lapiha, Oleksandra; Nguyen, Ky; Naccache, David The eleventh power residue symbol. (English) Zbl 07350880 J. Math. Cryptol. 15, 111-122 (2021). MSC: 11A15 11R18 11A05 11Y40 11T71 PDF BibTeX XML Cite \textit{M. Joye} et al., J. Math. Cryptol. 15, 111--122 (2021; Zbl 07350880) Full Text: DOI
Murphy, Sean; Player, Rachel Discretisation and product distributions in ring-LWE. (English) Zbl 07350876 J. Math. Cryptol. 15, 45-59 (2021). MSC: 94A60 11T71 PDF BibTeX XML Cite \textit{S. Murphy} and \textit{R. Player}, J. Math. Cryptol. 15, 45--59 (2021; Zbl 07350876) Full Text: DOI
Lei, Lei; Ren, Wenli; Fan, Cuiling The differential spectrum of a class of power functions over finite fields. (English) Zbl 07347789 Adv. Math. Commun. 15, No. 3, 525-537 (2021). MSC: 94A60 94A05 60G35 94B05 11T06 11T71 PDF BibTeX XML Cite \textit{L. Lei} et al., Adv. Math. Commun. 15, No. 3, 525--537 (2021; Zbl 07347789) Full Text: DOI
Gao, Yun; Yang, Shilin; Fu, Fang-Wei Some optimal cyclic \(\mathbb{F}_q\)-linear \(\mathbb{F}_{q^t}\)-codes. (English) Zbl 07347781 Adv. Math. Commun. 15, No. 3, 387-396 (2021). MSC: 94B05 94B15 11T71 PDF BibTeX XML Cite \textit{Y. Gao} et al., Adv. Math. Commun. 15, No. 3, 387--396 (2021; Zbl 07347781) Full Text: DOI
Zhang, Wenqin; Zhou, Zhengchun; Parampalli, Udaya; Sidorenko, Vladimir Capacity-achieving private information retrieval scheme with a smaller sub-packetization. (English) Zbl 07347779 Adv. Math. Commun. 15, No. 2, 347-363 (2021). MSC: 68P20 94A60 11T71 PDF BibTeX XML Cite \textit{W. Zhang} et al., Adv. Math. Commun. 15, No. 2, 347--363 (2021; Zbl 07347779) Full Text: DOI
Rishakani, Akbar Mahmoodi; Dehnavi, Seyed Mojtaba; Shamsabad, Mohmmadreza Mirzaee; Bagheri, Nasour Cryptographic properties of cyclic binary matrices. (English) Zbl 1460.94063 Adv. Math. Commun. 15, No. 2, 311-327 (2021). MSC: 94A60 11T71 PDF BibTeX XML Cite \textit{A. M. Rishakani} et al., Adv. Math. Commun. 15, No. 2, 311--327 (2021; Zbl 1460.94063) Full Text: DOI
Cao, Yuan; Cao, Yonglin; Dinh, Hai Q.; Bandi, Ramakrishna; Fu, Fang-Wei An explicit representation and enumeration for negacyclic codes of length \(2^kn\) over \(\mathbb{Z}_4+u\mathbb{Z}_4\). (English) Zbl 07347776 Adv. Math. Commun. 15, No. 2, 291-309 (2021). MSC: 94B15 94B05 11T71 PDF BibTeX XML Cite \textit{Y. Cao} et al., Adv. Math. Commun. 15, No. 2, 291--309 (2021; Zbl 07347776) Full Text: DOI
Luo, Gaojun; Cao, Xiwang Two classes of near-optimal codebooks with respect to the Welch bound. (English) Zbl 07347775 Adv. Math. Commun. 15, No. 2, 279-289 (2021). MSC: 11T71 11T06 11T23 94B05 PDF BibTeX XML Cite \textit{G. Luo} and \textit{X. Cao}, Adv. Math. Commun. 15, No. 2, 279--289 (2021; Zbl 07347775) Full Text: DOI
El Khalfaoui, Sabira; Nagy, Gábor P. On the dimension of the subfield subcodes of 1-point Hermitian codes. (English) Zbl 07347770 Adv. Math. Commun. 15, No. 2, 219-226 (2021). MSC: 11T71 14G50 94B27 PDF BibTeX XML Cite \textit{S. El Khalfaoui} and \textit{G. P. Nagy}, Adv. Math. Commun. 15, No. 2, 219--226 (2021; Zbl 07347770) Full Text: DOI
Khathuria, Karan; Rosenthal, Joachim; Weger, Violetta Encryption scheme based on expanded Reed-Solomon codes. (English) Zbl 1460.94051 Adv. Math. Commun. 15, No. 2, 207-218 (2021). MSC: 94A60 11T71 PDF BibTeX XML Cite \textit{K. Khathuria} et al., Adv. Math. Commun. 15, No. 2, 207--218 (2021; Zbl 1460.94051) Full Text: DOI
Wu, Tingting; Liu, Li; Li, Lanqiang; Zhu, Shixin Repeated-root constacyclic codes of length \(6lp^s\). (English) Zbl 07347767 Adv. Math. Commun. 15, No. 1, 167-189 (2021). MSC: 94B05 11T71 94B15 PDF BibTeX XML Cite \textit{T. Wu} et al., Adv. Math. Commun. 15, No. 1, 167--189 (2021; Zbl 07347767) Full Text: DOI
Li, Fengwei; Yue, Qin; Sun, Xiaoming The values of two classes of Gaussian periods in index 2 case and weight distributions of linear codes. (English) Zbl 07347765 Adv. Math. Commun. 15, No. 1, 131-153 (2021). MSC: 11T23 11L05 94B05 PDF BibTeX XML Cite \textit{F. Li} et al., Adv. Math. Commun. 15, No. 1, 131--153 (2021; Zbl 07347765) Full Text: DOI
Yang, Shudi; Kong, Xiangli; Shi, Xueying Complete weight enumerators of a class of linear codes over finite fields. (English) Zbl 07347763 Adv. Math. Commun. 15, No. 1, 99-112 (2021). MSC: 94B05 11T71 11T23 PDF BibTeX XML Cite \textit{S. Yang} et al., Adv. Math. Commun. 15, No. 1, 99--112 (2021; Zbl 07347763) Full Text: DOI
Wang, Dandan; Cao, Xiwang; Luo, Gaojun A class of linear codes and their complete weight enumerators. (English) Zbl 07347762 Adv. Math. Commun. 15, No. 1, 73-97 (2021). MSC: 94B05 11T23 11T71 PDF BibTeX XML Cite \textit{D. Wang} et al., Adv. Math. Commun. 15, No. 1, 73--97 (2021; Zbl 07347762) Full Text: DOI
Tang, Chunming; Xu, Maozhi; Qi, Yanfeng; Zhou, Mingshuo A new class of \(p\)-ary regular bent functions. (English) Zbl 07347760 Adv. Math. Commun. 15, No. 1, 55-64 (2021). MSC: 94D10 94A60 11T23 11T71 PDF BibTeX XML Cite \textit{C. Tang} et al., Adv. Math. Commun. 15, No. 1, 55--64 (2021; Zbl 07347760) Full Text: DOI
Ru, Hongming; Tang, Chunming; Qi, Yanfeng; Deng, Yuxiao A construction of \(p\)-ary linear codes with two or three weights. (English) Zbl 07347757 Adv. Math. Commun. 15, No. 1, 9-22 (2021). MSC: 94B05 11T71 11T23 PDF BibTeX XML Cite \textit{H. Ru} et al., Adv. Math. Commun. 15, No. 1, 9--22 (2021; Zbl 07347757) Full Text: DOI
Ling, San; Özkaya, Buket New bounds on the minimum distance of cyclic codes. (English) Zbl 07347756 Adv. Math. Commun. 15, No. 1, 1-8 (2021). MSC: 94B15 94B65 11T71 PDF BibTeX XML Cite \textit{S. Ling} and \textit{B. Özkaya}, Adv. Math. Commun. 15, No. 1, 1--8 (2021; Zbl 07347756) Full Text: DOI
Xu, Yongchao; Hong, Shaofang A curious identity on multiple sums over fields with applications. (English) Zbl 07347626 Algebra Colloq. 28, No. 2, 295-308 (2021). MSC: 11T06 PDF BibTeX XML Cite \textit{Y. Xu} and \textit{S. Hong}, Algebra Colloq. 28, No. 2, 295--308 (2021; Zbl 07347626) Full Text: DOI
Hachenberger, Dirk Ovoids and primitive normal bases for quartic extensions of Galois fields. (English) Zbl 07347319 J. Algebr. Comb. 53, No. 1, 85-114 (2021). MSC: 11T 11A99 11T30 12E20 PDF BibTeX XML Cite \textit{D. Hachenberger}, J. Algebr. Comb. 53, No. 1, 85--114 (2021; Zbl 07347319) Full Text: DOI
Liu, Hualu; Hu, Peng; Liu, Xiusheng Asymmetric entanglement-assisted quantum codes: bound and constructions. (English) Zbl 07346956 Des. Codes Cryptography 89, No. 5, 797-809 (2021). MSC: 81P70 81P73 81P47 81P40 94B65 94B05 11T71 PDF BibTeX XML Cite \textit{H. Liu} et al., Des. Codes Cryptography 89, No. 5, 797--809 (2021; Zbl 07346956) Full Text: DOI
Wang, Li-Yuan; Pan, Hao Some permutations over \(\mathbb{F}_p\) concerning primitive roots. (English) Zbl 07344938 Ramanujan J. 55, No. 1, 337-348 (2021). MSC: 11T22 05A05 11R29 12E20 PDF BibTeX XML Cite \textit{L.-Y. Wang} and \textit{H. Pan}, Ramanujan J. 55, No. 1, 337--348 (2021; Zbl 07344938) Full Text: DOI
Djanković, Goran The least common multiple of random sets in polynomial rings over finite fields. (English) Zbl 07344922 Ramanujan J. 55, No. 1, 13-23 (2021). MSC: 11T55 11A05 11N60 11K99 PDF BibTeX XML Cite \textit{G. Djanković}, Ramanujan J. 55, No. 1, 13--23 (2021; Zbl 07344922) Full Text: DOI
Zhu, Yunlong; Chang, Zuling; Ezerman, Martianus Frederic; Wang, Qiang An efficiently generated family of binary de Bruijn sequences. (English) Zbl 07340593 Discrete Math. 344, No. 6, Article ID 112368, 11 p. (2021). MSC: 11T 05A 94A PDF BibTeX XML Cite \textit{Y. Zhu} et al., Discrete Math. 344, No. 6, Article ID 112368, 11 p. (2021; Zbl 07340593) Full Text: DOI
Zheng, Dabin; Zhao, Qing; Wang, Xiaoqiang; Zhang, Yan A class of two or three weights linear codes and their complete weight enumerators. (English) Zbl 07340582 Discrete Math. 344, No. 6, Article ID 112355, 17 p. (2021). MSC: 11T 94B PDF BibTeX XML Cite \textit{D. Zheng} et al., Discrete Math. 344, No. 6, Article ID 112355, 17 p. (2021; Zbl 07340582) Full Text: DOI
Hakuta, Keisuke Construction of metrics on the set of elliptic curves over a finite field. (English) Zbl 07337615 Publ. Inst. Math., Nouv. Sér. 109(123), 125-141 (2021). MSC: 14H52 11G20 11T71 14G50 94A60 PDF BibTeX XML Cite \textit{K. Hakuta}, Publ. Inst. Math., Nouv. Sér. 109(123), 125--141 (2021; Zbl 07337615) Full Text: DOI
Li, Mao-Sheng Four exponentials conjecture of Drinfeld modules. (English) Zbl 07337053 Proc. Am. Math. Soc. 149, No. 6, 2375-2380 (2021). MSC: 11J81 11J93 11T55 PDF BibTeX XML Cite \textit{M.-S. Li}, Proc. Am. Math. Soc. 149, No. 6, 2375--2380 (2021; Zbl 07337053) Full Text: DOI
Ganesan, Ghurumuruhan Linear recurrences over a finite field with exactly two periods. (English) Zbl 07336907 Adv. Appl. Math. 127, Article ID 102180, 11 p. (2021). MSC: 11T71 12Y05 68R01 PDF BibTeX XML Cite \textit{G. Ganesan}, Adv. Appl. Math. 127, Article ID 102180, 11 p. (2021; Zbl 07336907) Full Text: DOI
Aaronson, James; Groenland, Carla; Johnston, Tom Cyclically covering subspaces in \(\mathbb{F}_2^n\). (English) Zbl 07336216 J. Comb. Theory, Ser. A 181, Article ID 105436, 41 p. (2021). MSC: 05B40 11T06 11B30 15A03 PDF BibTeX XML Cite \textit{J. Aaronson} et al., J. Comb. Theory, Ser. A 181, Article ID 105436, 41 p. (2021; Zbl 07336216) Full Text: DOI
Yao, Ting; Zhu, Shixin; Pang, Binbin Triple cyclic codes over \(\mathbb{F}_q+u \mathbb{F}_q\). (English) Zbl 07334850 Int. J. Found. Comput. Sci. 32, No. 2, 115-135 (2021). MSC: 94B05 94B15 11T71 PDF BibTeX XML Cite \textit{T. Yao} et al., Int. J. Found. Comput. Sci. 32, No. 2, 115--135 (2021; Zbl 07334850) Full Text: DOI
Chen, Man; Qi, Tianfang A Menon-Sury-type identity for arithmetic functions on \(\mathbb{F}_q[T ]\). (English) Zbl 07334609 Publ. Math. 98, No. 1-2, 1-14 (2021). MSC: 11T55 11A07 11A25 PDF BibTeX XML Cite \textit{M. Chen} and \textit{T. Qi}, Publ. Math. 98, No. 1--2, 1--14 (2021; Zbl 07334609) Full Text: DOI
Boripan, Arunwan; Jitman, Somphong SRIM and SCRIM factors of \(x^n+1\) over finite fields and their applications. (English) Zbl 07334355 Discrete Math. Algorithms Appl. 13, No. 1, Article ID 2050098, 20 p. (2021). MSC: 11T71 11T06 94B15 PDF BibTeX XML Cite \textit{A. Boripan} and \textit{S. Jitman}, Discrete Math. Algorithms Appl. 13, No. 1, Article ID 2050098, 20 p. (2021; Zbl 07334355) Full Text: DOI
Koh, Doowon; Pham, Thang; Shen, Chun-Yen; Vinh, Le Anh A sharp exponent on sum of distance sets over finite fields. (English) Zbl 07333901 Math. Z. 297, No. 3-4, 1749-1765 (2021). MSC: 11B 52C 11T 11B30 11T30 11T23 52C10 52C35 PDF BibTeX XML Cite \textit{D. Koh} et al., Math. Z. 297, No. 3--4, 1749--1765 (2021; Zbl 07333901) Full Text: DOI
Dawsey, Madeline Locus; McCarthy, Dermot Generalized Paley graphs and their complete subgraphs of orders three and four. (English) Zbl 07332637 Res. Math. Sci. 8, No. 2, Paper No. 18, 23 p. (2021). MSC: 05C55 05C30 11T24 05C35 11F11 PDF BibTeX XML Cite \textit{M. L. Dawsey} and \textit{D. McCarthy}, Res. Math. Sci. 8, No. 2, Paper No. 18, 23 p. (2021; Zbl 07332637) Full Text: DOI
Bartoli, Daniele; Calderini, Marco On construction and (non)existence of \(c\)-(almost) perfect nonlinear functions. (English) Zbl 07331819 Finite Fields Appl. 72, Article ID 101835, 16 p. (2021). MSC: 11T06 06E30 94A60 PDF BibTeX XML Cite \textit{D. Bartoli} and \textit{M. Calderini}, Finite Fields Appl. 72, Article ID 101835, 16 p. (2021; Zbl 07331819) Full Text: DOI
Li, Lisha; Wang, Qiang; Xu, Yunge; Zeng, Xiangyong Several classes of complete permutation polynomials with Niho exponents. (English) Zbl 07331815 Finite Fields Appl. 72, Article ID 101831, 31 p. (2021). MSC: 11T06 11T55 05A05 PDF BibTeX XML Cite \textit{L. Li} et al., Finite Fields Appl. 72, Article ID 101831, 31 p. (2021; Zbl 07331815) Full Text: DOI
Solymosi, József; White, Ethan P.; Yip, Chi Hoi On the number of distinct roots of a lacunary polynomial over finite fields. (English) Zbl 07331813 Finite Fields Appl. 72, Article ID 101820, 16 p. (2021). MSC: 11T06 PDF BibTeX XML Cite \textit{J. Solymosi} et al., Finite Fields Appl. 72, Article ID 101820, 16 p. (2021; Zbl 07331813) Full Text: DOI
Bluher, Antonia W. New Wilson-like theorems arising from Dickson polynomials. (English) Zbl 07331812 Finite Fields Appl. 72, Article ID 101819, 30 p. (2021). MSC: 11T99 11A15 PDF BibTeX XML Cite \textit{A. W. Bluher}, Finite Fields Appl. 72, Article ID 101819, 30 p. (2021; Zbl 07331812) Full Text: DOI
Cao, Yuan; Cao, Yonglin; Ling, San; Wang, Guidong An explicit expression for Euclidean self-dual cyclic codes of length \(2^k\) over Galois ring GR\((4,m)\). (English) Zbl 07331811 Finite Fields Appl. 72, Article ID 101817, 24 p. (2021). MSC: 94B15 94B05 11T71 PDF BibTeX XML Cite \textit{Y. Cao} et al., Finite Fields Appl. 72, Article ID 101817, 24 p. (2021; Zbl 07331811) Full Text: DOI
Bartoli, Daniele; Timpanella, Marco On trinomials of type \(X^{n+m}(1+AX^{m(q -1)}+BX^{n(q -1)}),n,m\) odd, over \(\mathbb{F}_{q^2}\), \(q=2^{2s+1}\). (English) Zbl 07331810 Finite Fields Appl. 72, Article ID 101816, 31 p. (2021). MSC: 11T06 05A05 11T55 11B75 PDF BibTeX XML Cite \textit{D. Bartoli} and \textit{M. Timpanella}, Finite Fields Appl. 72, Article ID 101816, 31 p. (2021; Zbl 07331810) Full Text: DOI
Lieb, Julia; Napp, Diego; Pinto, Raquel List decoding of convolutional codes over integer residue rings. (English) Zbl 07331809 Finite Fields Appl. 72, Article ID 101815, 21 p. (2021). MSC: 11T71 94B10 94B35 PDF BibTeX XML Cite \textit{J. Lieb} et al., Finite Fields Appl. 72, Article ID 101815, 21 p. (2021; Zbl 07331809) Full Text: DOI
Xie, Derong; Fang, Xiaolei; Luo, Jinquan Construction of long MDS self-dual codes from short codes. (English) Zbl 07331807 Finite Fields Appl. 72, Article ID 101813, 13 p. (2021). MSC: 11T71 PDF BibTeX XML Cite \textit{D. Xie} et al., Finite Fields Appl. 72, Article ID 101813, 13 p. (2021; Zbl 07331807) Full Text: DOI
Li, Ruihu; Yang, Sen; Rao, Yi; Fu, Qiang On binary locally repairable codes with distance four. (English) Zbl 07331803 Finite Fields Appl. 72, Article ID 101793, 16 p. (2021). MSC: 11T71 14G50 94B05 PDF BibTeX XML Cite \textit{R. Li} et al., Finite Fields Appl. 72, Article ID 101793, 16 p. (2021; Zbl 07331803) Full Text: DOI
Avendaño, Martin; Marco, Miguel A structural attack to the DME-\((3,2,q)\) cryptosystem. (English) Zbl 07331801 Finite Fields Appl. 71, Article ID 101810, 13 p. (2021). MSC: 11T06 PDF BibTeX XML Cite \textit{M. Avendaño} and \textit{M. Marco}, Finite Fields Appl. 71, Article ID 101810, 13 p. (2021; Zbl 07331801) Full Text: DOI
Çeşmelioğlu, Ayça; Olmez, Oktay Graphs of vectorial plateaued functions as difference sets. (English) Zbl 1460.05028 Finite Fields Appl. 71, Article ID 101795, 18 p. (2021). MSC: 05B10 05C99 11T71 94C11 94A60 PDF BibTeX XML Cite \textit{A. Çeşmelioğlu} and \textit{O. Olmez}, Finite Fields Appl. 71, Article ID 101795, 18 p. (2021; Zbl 1460.05028) Full Text: DOI
Wan, Qianhong; Qu, Longjiang; Li, Chao On equivalence between known polynomial APN functions and power APN functions. (English) Zbl 1460.94067 Finite Fields Appl. 71, Article ID 101762, 21 p. (2021). MSC: 94A60 94D10 11T71 PDF BibTeX XML Cite \textit{Q. Wan} et al., Finite Fields Appl. 71, Article ID 101762, 21 p. (2021; Zbl 1460.94067) Full Text: DOI
Kaspers, Christian; Zhou, Yue The number of almost perfect nonlinear functions grows exponentially. (English) Zbl 07331353 J. Cryptology 34, No. 1, Paper No. 4, 37 p. (2021). MSC: 11T71 06E30 94A60 94A62 PDF BibTeX XML Cite \textit{C. Kaspers} and \textit{Y. Zhou}, J. Cryptology 34, No. 1, Paper No. 4, 37 p. (2021; Zbl 07331353) Full Text: DOI
Hofer, Roswitha Finding both, The continued fraction and the Laurent series expansion of golden ratio analogs in the field of formal power series. (English) Zbl 07329228 J. Number Theory 223, 168-194 (2021). MSC: 11B39 11T99 11C99 PDF BibTeX XML Cite \textit{R. Hofer}, J. Number Theory 223, 168--194 (2021; Zbl 07329228) Full Text: DOI
Arakelian, Nazar Separable degree of the Gauss map and strict dual curves over finite fields. (English) Zbl 07328983 Bull. Braz. Math. Soc. (N.S.) 52, No. 1, 135-148 (2021). MSC: 14H 11T PDF BibTeX XML Cite \textit{N. Arakelian}, Bull. Braz. Math. Soc. (N.S.) 52, No. 1, 135--148 (2021; Zbl 07328983) Full Text: DOI
Sharma, Hariom; Sharma, R. K. Existence of primitive pairs with prescribed traces over finite fields. (English) Zbl 07328970 Commun. Algebra 49, No. 4, 1773-1780 (2021). MSC: 12E20 11T23 PDF BibTeX XML Cite \textit{H. Sharma} and \textit{R. K. Sharma}, Commun. Algebra 49, No. 4, 1773--1780 (2021; Zbl 07328970) Full Text: DOI
Bouzidi, A. Djamel; Cherchem, Ahmed; Leroy, André Exponents of skew polynomials over periodic rings. (English) Zbl 07328961 Commun. Algebra 49, No. 4, 1639-1655 (2021). Reviewer: Grigore Călugăreanu (Cluj-Napoca) MSC: 16S36 11T06 16W50 PDF BibTeX XML Cite \textit{A. D. Bouzidi} et al., Commun. Algebra 49, No. 4, 1639--1655 (2021; Zbl 07328961) Full Text: DOI
Rindler, Harald Book review of: X.-D. Hou, Lectures on finite fields. (English) Zbl 07328629 Monatsh. Math. 194, No. 3, 623-624 (2021). MSC: 00A17 11-01 11T06 11T23 12E20 PDF BibTeX XML Cite \textit{H. Rindler}, Monatsh. Math. 194, No. 3, 623--624 (2021; Zbl 07328629) Full Text: DOI
Kodess, Alex; Kronenthal, Brian G.; Manzano-Ruiz, Diego; Noe, Ethan Classification by girth of three-dimensional algebraically defined monomial graphs over the real numbers. (English) Zbl 07327828 Discrete Math. 344, No. 4, Article ID 112286, 6 p. (2021). MSC: 11T 05C PDF BibTeX XML Cite \textit{A. Kodess} et al., Discrete Math. 344, No. 4, Article ID 112286, 6 p. (2021; Zbl 07327828) Full Text: DOI
Li, Yubo; Li, Kangquan; Qu, Longjiang; Li, Chao Further study of planar functions in characteristic two. (English) Zbl 07327777 J. Algebra 573, 712-740 (2021). MSC: 11T06 11G20 12E05 94A60 PDF BibTeX XML Cite \textit{Y. Li} et al., J. Algebra 573, 712--740 (2021; Zbl 07327777) Full Text: DOI
Nguyen, Kien Huu Igusa’s conjecture on exponential sums modulo \(p^m\) and the local-global principle. (English) Zbl 07326604 Anglès, Bruno (ed.) et al., Arithmetic and geometry over local fields. VIASM 2018. Based on lectures given during the program “Arithmetic and geometry of local and global fields”, summer 2018, Hanoi, Vietnam. Cham: Springer (ISBN 978-3-030-66248-6/pbk; 978-3-030-66249-3/ebook). Lecture Notes in Mathematics 2275, 61-92 (2021). MSC: 11L03 11T23 11E76 PDF BibTeX XML Cite \textit{K. H. Nguyen}, Lect. Notes Math. 2275, 61--92 (2021; Zbl 07326604) Full Text: DOI
Rahavandrainy, Olivier Some families of unitary perfect polynomials over \(\mathbb{F}_2\). (Familles de polynômes unitairement parfaits sur \(\mathbb{F}_2\).) (French. English summary) Zbl 07326180 C. R., Math., Acad. Sci. Paris 359, No. 2, 123-130 (2021). MSC: 11T PDF BibTeX XML Cite \textit{O. Rahavandrainy}, C. R., Math., Acad. Sci. Paris 359, No. 2, 123--130 (2021; Zbl 07326180) Full Text: DOI
López, Hiram H.; Malmskog, Beth; Matthews, Gretchen L.; Piñero-González, Fernando; Wootters, Mary Hermitian-lifted codes. (English) Zbl 07324379 Des. Codes Cryptography 89, No. 3, 497-515 (2021). Reviewer: Carlos Munuera (Valladolid) MSC: 94B27 11T71 94B05 94B60 PDF BibTeX XML Cite \textit{H. H. López} et al., Des. Codes Cryptography 89, No. 3, 497--515 (2021; Zbl 07324379) Full Text: DOI
Gluesing-Luerssen, Heide; Lehmann, Hunter Distance distributions of cyclic orbit codes. (English) Zbl 1460.94086 Des. Codes Cryptography 89, No. 3, 447-470 (2021). Reviewer: Nikolay Yankov (Shumen) MSC: 94B15 11T71 PDF BibTeX XML Cite \textit{H. Gluesing-Luerssen} and \textit{H. Lehmann}, Des. Codes Cryptography 89, No. 3, 447--470 (2021; Zbl 1460.94086) Full Text: DOI
Carlet, Claude; Kim, Kwang Ho; Mesnager, Sihem A direct proof of APN-ness of the Kasami functions. (English) Zbl 07324375 Des. Codes Cryptography 89, No. 3, 441-446 (2021). MSC: 11T71 11T06 12E20 PDF BibTeX XML Cite \textit{C. Carlet} et al., Des. Codes Cryptography 89, No. 3, 441--446 (2021; Zbl 07324375) Full Text: DOI
Car, Mireille; Gallardo, Luis H. Representation of a polynomial as the sum of an irreducible polynomial and a square-free polynomial. (English) Zbl 1459.11230 Acta Arith. 197, No. 3, 293-309 (2021). MSC: 11T55 11T06 PDF BibTeX XML Cite \textit{M. Car} and \textit{L. H. Gallardo}, Acta Arith. 197, No. 3, 293--309 (2021; Zbl 1459.11230) Full Text: DOI
Kramer-Miller, Joe \(p\)-adic estimates of exponential sums on curves. (English) Zbl 07319557 Algebra Number Theory 15, No. 1, 141-171 (2021). MSC: 11G20 14F30 11T23 PDF BibTeX XML Cite \textit{J. Kramer-Miller}, Algebra Number Theory 15, No. 1, 141--171 (2021; Zbl 07319557) Full Text: DOI
Özbudak, Ferruh; Sălăgean, Ana New generalized almost perfect nonlinear functions. (English) Zbl 1459.94138 Finite Fields Appl. 70, Article ID 101796, 33 p. (2021). MSC: 94A60 11T71 11T06 PDF BibTeX XML Cite \textit{F. Özbudak} and \textit{A. Sălăgean}, Finite Fields Appl. 70, Article ID 101796, 33 p. (2021; Zbl 1459.94138) Full Text: DOI
Zheng, Lijing; Kan, Haibin; Peng, Jie; Tang, Deng Two classes of permutation trinomials with Niho exponents. (English) Zbl 1459.05005 Finite Fields Appl. 70, Article ID 101790, 16 p. (2021). MSC: 05A05 11T06 11T55 PDF BibTeX XML Cite \textit{L. Zheng} et al., Finite Fields Appl. 70, Article ID 101790, 16 p. (2021; Zbl 1459.05005) Full Text: DOI
Bartoli, Daniele; Timpanella, Marco A family of permutation trinomials over \(\mathbb{F}_{q^2}\). (English) Zbl 07313145 Finite Fields Appl. 70, Article ID 101781, 17 p. (2021). MSC: 11T06 12E10 11G20 PDF BibTeX XML Cite \textit{D. Bartoli} and \textit{M. Timpanella}, Finite Fields Appl. 70, Article ID 101781, 17 p. (2021; Zbl 07313145) Full Text: DOI
Taniguchi, Hiroaki Distance regular graphs arising from dimensional dual hyperovals. (English) Zbl 07313139 Finite Fields Appl. 69, Article ID 101776, 15 p. (2021). MSC: 51E20 11T71 20B25 05E18 05E30 PDF BibTeX XML Cite \textit{H. Taniguchi}, Finite Fields Appl. 69, Article ID 101776, 15 p. (2021; Zbl 07313139) Full Text: DOI
Carvalho, Cícero; Neumann, Victor G. L. Completing the determination of the next-to-minimal weights of affine cartesian codes. (English) Zbl 1458.14039 Finite Fields Appl. 69, Article ID 101775, 14 p. (2021). Reviewer: Dimitros Poulakis (Thessaloniki) MSC: 14G50 11T71 94B60 PDF BibTeX XML Cite \textit{C. Carvalho} and \textit{V. G. L. Neumann}, Finite Fields Appl. 69, Article ID 101775, 14 p. (2021; Zbl 1458.14039) Full Text: DOI
Koshelev, Dmitrii New point compression method for elliptic \(\mathbb{F}_{q^2}\)-curves of \(j\)-invariant 0. (English) Zbl 07313137 Finite Fields Appl. 69, Article ID 101774, 25 p. (2021). MSC: 14G50 14H52 14Q05 94A60 11T71 11Y16 PDF BibTeX XML Cite \textit{D. Koshelev}, Finite Fields Appl. 69, Article ID 101774, 25 p. (2021; Zbl 07313137) Full Text: DOI
Alfarano, Gianira N.; Lobillo, F. J.; Neri, Alessandro Roos bound for skew cyclic codes in Hamming and rank metric. (English) Zbl 07313136 Finite Fields Appl. 69, Article ID 101772, 24 p. (2021). MSC: 11T71 94B65 16S36 PDF BibTeX XML Cite \textit{G. N. Alfarano} et al., Finite Fields Appl. 69, Article ID 101772, 24 p. (2021; Zbl 07313136) Full Text: DOI
Gao, Zhicheng; Kuttner, Simon; Wang, Qiang On enumeration of irreducible polynomials and related objects over a finite field with respect to their trace and norm. (English) Zbl 07313134 Finite Fields Appl. 69, Article ID 101770, 26 p. (2021). MSC: 11T06 12E05 PDF BibTeX XML Cite \textit{Z. Gao} et al., Finite Fields Appl. 69, Article ID 101770, 26 p. (2021; Zbl 07313134) Full Text: DOI
Doliskani, Javad; Narayanan, Anand Kumar; Schost, Éric Drinfeld modules with complex multiplication, Hasse invariants and factoring polynomials over finite fields. (English) Zbl 1459.11134 J. Symb. Comput. 105, 199-213 (2021). MSC: 11G09 11Y16 68W30 11T06 PDF BibTeX XML Cite \textit{J. Doliskani} et al., J. Symb. Comput. 105, 199--213 (2021; Zbl 1459.11134) Full Text: DOI
Imamoglu, Erdal; Kaltofen, Erich L. On computing the degree of a Chebyshev polynomial from its value. (English) Zbl 07312475 J. Symb. Comput. 104, 159-167 (2021). MSC: 11T23 11T06 33C45 PDF BibTeX XML Cite \textit{E. Imamoglu} and \textit{E. L. Kaltofen}, J. Symb. Comput. 104, 159--167 (2021; Zbl 07312475) Full Text: DOI