Finite Fields and their Applications Short Title: Finite Fields Appl. Publisher: Elsevier (Academic Press), San Diego, CA ISSN: 1071-5797 Online: http://www.sciencedirect.com/science/journal/10715797 Comments: Journal; Indexed cover-to-cover Documents Indexed: 2,061 Publications (since 1995) References Indexed: 1,956 Publications with 36,224 References. all top 5 Latest Issues 98 (2024) 97 (2024) 96 (2024) 95 (2024) 94 (2024) 93 (2024) 92 (2023) 91 (2023) 90 (2023) 89 (2023) 88 (2023) 87 (2023) 86 (2023) 85 (2023) 84 (2022) 83 (2022) 82 (2022) 81 (2022) 80 (2022) 79 (2022) 78 (2022) 77 (2022) 76 (2021) 75 (2021) 74 (2021) 73 (2021) 72 (2021) 71 (2021) 70 (2021) 69 (2021) 68 (2020) 67 (2020) 66 (2020) 65 (2020) 64 (2020) 63 (2020) 62 (2020) 61 (2020) 60 (2019) 59 (2019) 58 (2019) 57 (2019) 56 (2019) 55 (2019) 54 (2018) 53 (2018) 52 (2018) 51 (2018) 50 (2018) 49 (2018) 48 (2017) 47 (2017) 46 (2017) 45 (2017) 44 (2017) 43 (2017) 42 (2016) 41 (2016) 40 (2016) 39 (2016) 38 (2016) 37 (2016) 36 (2015) 35 (2015) 34 (2015) 33 (2015) 32 (2015) 31 (2015) 30 (2014) 29 (2014) 28 (2014) 27 (2014) 26 (2014) 25 (2014) 24 (2013) 23 (2013) 22 (2013) 21 (2013) 20 (2013) 19 (2013) 18, No. 6 (2012) 18, No. 5 (2012) 18, No. 4 (2012) 18, No. 3 (2012) 18, No. 2 (2012) 18, No. 1 (2012) 17, No. 6 (2011) 17, No. 5 (2011) 17, No. 4 (2011) 17, No. 3 (2011) 17, No. 2 (2011) 17, No. 1 (2011) 16, No. 6 (2010) 16, No. 5 (2010) 16, No. 4 (2010) 16, No. 3 (2010) 16, No. 2 (2010) 16, No. 1 (2010) 15, No. 6 (2009) 15, No. 5 (2009) ...and 58 more Volumes all top 5 Authors 32 Hou, Xiang-Dong 28 Zeng, Xiangyong 26 Özbudak, Ferruh 25 Bartoli, Daniele 24 Shparlinski, Igor E. 24 Wang, Qiang (Steven) 22 Ding, Cunsheng 22 Niederreiter, Harald 18 Cao, Xiwang 17 Helleseth, Tor 17 Hu, Lei 17 Qi, Wenfeng 17 Yue, Qin 16 Reis, Lucas 15 Wan, Daqing 14 Dinh, Hai Quang 14 Fu, Fangwei 14 Liu, Hongwei 14 Solé, Patrick 14 Xiang, Qing 13 Cohen, Stephen D. 13 Harada, Masaaki 13 Lee, Yoonjin 13 Li, Nian 13 Shi, Minjia 13 Yuan, Pingzhi 12 Beelen, Pieter Hendrik Turdus 12 Dougherty, Steven T. 12 Mesnager, Sihem 12 Qu, Longjiang 12 Zha, Zhengbang 12 Zhu, Shixin 11 Ling, San 11 Maruta, Tatsuya 11 Stichtenoth, Henning 11 Winterhof, Arne 10 Coulter, Robert S. 10 Fitzgerald, Robert W. 10 Guo, Jun 10 Katz, Nicholas Michael 10 Lavrauw, Michel 10 Li, Chengju 10 Marino, Giuseppe 10 McGuire, Gary 10 Meidl, Wilfried 10 Momihara, Koji 10 Sala, Massimiliano 10 Sharma, Anuradha 10 Tu, Ziran 9 Bakshi, Gurmeet K. 9 Cao, Yonglin 9 Chen, Bocong 9 Fan, Shuqin 9 Feng, Keqin 9 Giulietti, Massimo 9 Heng, Ziling 9 Li, Chunlei 9 Montanucci, Maria 9 Rúa, Ignacio Fernández 8 Ahmadi, Omran 8 Bluher, Antonia Wilson 8 Borges, Herivelto 8 Brochero Martínez, Fabio Enrique 8 Homma, Masaaki 8 Kim, Seon Jeong 8 Korchmáros, Gábor 8 Liao, Qunying 8 Martínez-Moro, Edgar 8 Meemark, Yotsanan 8 Polverino, Olga 8 Storme, Leo 8 Taniguchi, Hiroaki 8 Yildiz, Bahattin 8 Yucas, Joseph L. 8 Zini, Giovanni 8 Zullo, Ferdinando 7 Anbar, Nurdagül 7 Ballico, Edoardo 7 Brison, Owen J. 7 Charpin, Pascale 7 Cossidente, Antonio 7 Fukasawa, Satoru 7 Gao, Jian 7 Geil, Olav 7 Ghorpade, Sudhir R. 7 Kaya, Abidin 7 Kim, Hyunjin 7 Kim, Kwang Ho 7 Korban, Adrian 7 Kyureghyan, Gohar M. 7 Lasjaunias, Alain 7 Li, Kangquan 7 Moisio, Marko J. 7 Munemasa, Akihiro 7 Neumann, Victor G. L. 7 Nogueira, Joaquim Eurico 7 Pavese, Francesco 7 Peng, Jie 7 Raka, Madhu 7 Sun, Zhi-Wei ...and 1,968 more Authors all top 5 Fields 1,447 Number theory (11-XX) 785 Information and communication theory, circuits (94-XX) 349 Algebraic geometry (14-XX) 305 Combinatorics (05-XX) 200 Field theory and polynomials (12-XX) 194 Geometry (51-XX) 93 Group theory and generalizations (20-XX) 86 Commutative algebra (13-XX) 69 Linear and multilinear algebra; matrix theory (15-XX) 41 Associative rings and algebras (16-XX) 37 Computer science (68-XX) 24 Numerical analysis (65-XX) 23 Order, lattices, ordered algebraic structures (06-XX) 22 Convex and discrete geometry (52-XX) 18 Special functions (33-XX) 17 Dynamical systems and ergodic theory (37-XX) 16 Quantum theory (81-XX) 8 Measure and integration (28-XX) 6 History and biography (01-XX) 6 Probability theory and stochastic processes (60-XX) 5 Harmonic analysis on Euclidean spaces (42-XX) 4 Nonassociative rings and algebras (17-XX) 3 General and overarching topics; collections (00-XX) 2 Functions of a complex variable (30-XX) 2 Potential theory (31-XX) 2 Several complex variables and analytic spaces (32-XX) 2 Abstract harmonic analysis (43-XX) 2 Functional analysis (46-XX) 2 Operations research, mathematical programming (90-XX) 2 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Mathematical logic and foundations (03-XX) 1 \(K\)-theory (19-XX) 1 Topological groups, Lie groups (22-XX) 1 Ordinary differential equations (34-XX) 1 Operator theory (47-XX) 1 Algebraic topology (55-XX) 1 Manifolds and cell complexes (57-XX) 1 Systems theory; control (93-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 1,643 Publications have been cited 14,912 times in 6,605 Documents Cited by ▼ Year ▼ Permutation polynomials over finite fields – a survey of recent advances. Zbl 1325.11128 Hou, Xiang-dong 138 2015 On constructing permutations of finite fields. Zbl 1281.11102 Akbary, Amir; Ghioca, Dragos; Wang, Qiang 108 2011 Permutation polynomials and applications to coding theory. Zbl 1107.11048 Laigle-Chapuy, Yann 101 2007 A class of three-weight cyclic codes. Zbl 1305.94112 Zhou, Zhengchun; Ding, Cunsheng 100 2014 New cyclic difference sets with Singer parameters. Zbl 1043.05024 Dillon, J. F.; Dobbertin, Hans 93 2004 Constructing new APN functions from known ones. Zbl 1184.94228 Budaghyan, Lilya; Carlet, Claude; Leander, Gregor 91 2009 Repeated-root constacyclic codes of length. Zbl 1231.94071 Dinh, Hai Quang 81 2012 On the classification and enumeration of self-dual codes. Zbl 1087.94023 Huffman, W. Cary 79 2005 The weight distribution of a class of \(p\)-ary cyclic codes. Zbl 1206.94110 Zeng, Xiangyong; Hu, Lei; Jiang, Wenfeng; Yue, Qin; Cao, Xiwang 78 2010 Weight distributions of cyclic codes with respect to pairwise coprime order elements. Zbl 1366.94641 Li, Chengju; Yue, Qin; Li, Fengwei 74 2014 Cyclic codes over the integers modulo \(p^m\). Zbl 1055.94541 Kanwar, Pramod; López-Permouth, Sergio R. 72 1997 Weight distribution of some reducible cyclic codes. Zbl 1142.11084 Feng, Keqin; Luo, Jinquan 67 2008 New classes of permutation binomials and permutation trinomials over finite fields. Zbl 1351.11078 Li, Kangquan; Qu, Longjiang; Chen, Xi 66 2017 Some new classes of permutation trinomials over finite fields with even characteristic. Zbl 1372.11108 Gupta, Rohit; Sharma, R. K. 64 2016 On the linear ordering of some classes of negacyclic and cyclic codes and their distance distributions. Zbl 1129.94047 Dinh, Hai Quang 64 2008 Self-dual codes over commutative Frobenius rings. Zbl 1213.94193 Dougherty, Steven T.; Kim, Jon-Lark; Kulosman, Hamid; Liu, Hongwei 64 2010 Low-discrepancy sequences and global function fields with many rational places. Zbl 0893.11029 Niederreiter, Harald; Xing, Chaoping 62 1996 On \(x^{q+1}+ax+b\). Zbl 1137.12300 Bluher, Antonia W. 61 2004 Constacyclic codes over finite fields. Zbl 1272.94089 Chen, Bocong; Fan, Yun; Lin, Liren; Liu, Hongwei 61 2012 Quasi-cyclic complementary dual codes. Zbl 1364.94605 Güneri, Cem; Özkaya, Buket; Solé, Patrick 60 2016 Improved explicit estimates on the number of solutions of equations over a finite field. Zbl 1163.11329 Cafure, Antonio; Matera, Guillermo 60 2006 Determination of a type of permutation trinomials over finite fields. II. Zbl 1343.11093 Hou, Xiang-Dong 60 2015 Permutation polynomials over finite fields from a powerful lemma. Zbl 1258.11100 Yuan, Pingzhi; Ding, Cunsheng 59 2011 Linearized polynomials over finite fields revisited. Zbl 1345.11084 Wu, Baofeng; Liu, Zhuojun 58 2013 Codes over \(R_k\), Gray maps and their binary images. Zbl 1213.94173 Dougherty, Steven T.; Yildiz, Bahattin; Karadeniz, Suat 58 2011 New generalized cyclotomy and its applications. Zbl 0908.11058 Ding, Cunsheng; Helleseth, Tor 57 1998 A highly nonlinear differentially 4 uniform power mapping that permutes fields of even degree. Zbl 1194.94182 Bracken, Carl; Leander, Gregor 55 2010 On constacyclic codes over \(\mathbb{Z}_4 [u] / \langle u^2 - 1 \rangle\) and their Gray images. Zbl 1392.94945 Shi, Minjia; Qian, Liqin; Sok, Lin; Aydin, Nuh; Solé, Patrick 55 2017 Several classes of complete permutation polynomials. Zbl 1284.05012 Tu, Ziran; Zeng, Xiangyong; Hu, Lei 55 2014 New families of quadratic almost perfect nonlinear trinomials and multinomials. Zbl 1153.11058 Bracken, Carl; Byrne, Eimear; Markin, Nadya; McGuire, Gary 53 2008 Minimal linear codes over finite fields. Zbl 1401.94262 Heng, Ziling; Ding, Cunsheng; Zhou, Zhengchun 53 2018 A new class of monomial bent functions. Zbl 1162.94004 Canteaut, Anne; Charpin, Pascale; Kyureghyan, Gohar M. 51 2008 LCD codes over finite chain rings. Zbl 1392.94931 Liu, Xiusheng; Liu, Hualu 51 2015 Permutation polynomials of the \((x^p - x+\delta)^s+L(x)\). Zbl 1211.11136 Yuan, Jin; Ding, Cunsheng; Wang, Huaxiong; Pieprzyk, Josef 49 2008 Further results on permutation polynomials over finite fields. Zbl 1297.11148 Yuan, Pingzhi; Ding, Cunsheng 49 2014 Further results on permutation trinomials over finite fields with even characteristic. Zbl 1362.05006 Zha, Zhengbang; Hu, Lei; Fan, Shuqin 49 2017 Entanglement-assisted quantum MDS codes from constacyclic codes with large minimum distance. Zbl 1395.81097 Lu, Liangdong; Ma, Wenping; Li, Ruihu; Ma, Yuena; Liu, Yang; Cao, Hao 49 2018 Linear complexity of generalized cyclotomic binary sequences of order 2. Zbl 0908.11062 Ding, Cunsheng 49 1997 A proof of the Welch and Niho conjectures on cross-correlations of binary \(m\)-sequences. Zbl 1027.94006 Hollmann, Henk D. L.; Xiang, Qing 48 2001 Idempotents in group algebras and minimal abelian codes. Zbl 1176.94075 Ferraz, Raul Antonio; Polcino Milies, César 47 2007 A class of new permutation trinomials. Zbl 1380.05002 Tu, Ziran; Zeng, Xiangyong; Li, Chunlei; Helleseth, Tor 47 2018 New entanglement-assisted quantum codes from \(k\)-Galois dual codes. Zbl 1404.94138 Liu, Xiusheng; Yu, Long; Hu, Peng 46 2019 Perfect nonlinear binomials and their semifields. Zbl 1194.12003 Zha, Zhengbang; Kyureghyan, Gohar M.; Wang, Xueli 46 2009 Binomial differentially 4 uniform permutations with high nonlinearity. Zbl 1267.94043 Bracken, Carl; Tan, Chik How; Tan, Yin 46 2012 Quasi-twisted codes with constacyclic constituent codes. Zbl 1339.94090 Shi, Minjia; Zhang, Yiping 45 2016 Constacyclic codes of length \(2p^{s}\) over \(\mathbb{F}_{p^m} + u \mathbb{F}_{p^m}\). Zbl 1338.94103 Chen, Bocong; Dinh, Hai Q.; Liu, Hongwei; Wang, Liqi 45 2016 Two classes of permutation polynomials over finite fields. Zbl 1288.11111 Zha, Zhengbang; Hu, Lei 45 2012 When does \(G(x)+\gamma \, \text{Tr}(H(x))\) permute \(\mathbb F_{p^n}\)? Zbl 1229.11153 Charpin, Pascale; Kyureghyan, Gohar 45 2009 Cyclic self-dual \(\mathbb Z_4\)-codes. Zbl 1053.94573 Pless, Vera; Solé, Patrick; Qian, Zhongqiang 45 1997 A class of constacyclic codes over a finite field. Zbl 1250.94067 Bakshi, Gurmeet K.; Raka, Madhu 45 2012 On complementary-dual quasi-cyclic codes. Zbl 1165.94009 Esmaeili, M.; Yari, S. 44 2009 Constructions of optimal LCD codes over large finite fields. Zbl 1436.94115 Sok, Lin; Shi, Minjia; Solé, Patrick 44 2018 Combinatorial designs and the theorem of Weil on multiplicative character sums. Zbl 1211.05022 Buratti, Marco; Pasotti, Anita 43 2009 The dimension and minimum distance of two classes of primitive BCH codes. Zbl 1402.94100 Ding, Cunsheng; Fan, Cuiling; Zhou, Zhengchun 43 2017 All two-weight irreducible cyclic codes? Zbl 1023.94016 Schmidt, Bernhard; White, Clinton 43 2002 The weight distributions of a class of cyclic codes. Zbl 1271.94034 Xiong, Maosheng 43 2012 New Kloosterman sums identities over \(\mathbb F_{2^m}\) for all \(m\). Zbl 1081.11077 Helleseth, Tor; Zinoviev, Victor 43 2003 Minimal codes of prime-power length. Zbl 1053.94574 Pruthi, Manju; Arora, Suresh Kumar 42 1997 Blocking sets in Desarguesian affine and projective planes. Zbl 0912.51004 Szőnyi, Tamás 42 1997 Negacyclic duadic codes. Zbl 1183.94058 Blackford, Thomas 41 2008 Galois LCD codes over finite fields. Zbl 1392.94960 Liu, Xiusheng; Fan, Yun; Liu, Hualu 41 2018 On constacyclic codes over finite chain rings. Zbl 1305.94097 Cao, Yonglin 40 2013 Further results on a class of permutation polynomials over finite fields. Zbl 1285.05004 Li, Nian; Helleseth, Tor; Tang, Xiaohu 40 2013 Constructing new differentially 4-uniform permutations from the inverse function. Zbl 1305.94084 Zha, Zhengbang; Hu, Lei; Sun, Siwei 40 2014 Two classes of permutation polynomials having the form \((x^{2^m}+x+\delta)^s+x\). Zbl 1320.11120 Tu, Ziran; Zeng, Xiangyong; Jiang, Yupeng 39 2015 Four classes of permutation polynomials of \(\mathbb F_{2^m}\). Zbl 1167.11045 Yuan, Jin; Ding, Cunsheng 38 2007 On the subset sum problem over finite fields. Zbl 1189.11058 Li, Jiyou; Wan, Daqing 38 2008 Reversed Dickson polynomials over finite fields. Zbl 1228.11174 Hou, Xiang-Dong; Mullen, Gary L.; Sellers, James A.; Yucas, Joseph L. 38 2009 Type II codes over \(\mathbb F_4\). Zbl 1009.94012 Gaborit, Philippe; Pless, Vera; Solé, Patrick; Atkin, Oliver 38 2002 New maximum scattered linear sets of the projective line. Zbl 1401.51007 Csajbók, Bence; Marino, Giuseppe; Zullo, Ferdinando 38 2018 Linear codes over \(\mathbb Z_4+u\mathbb Z_4\): MacWilliams identities, projections, and formally self-dual codes. Zbl 1292.94179 Yildiz, Bahattin; Karadeniz, Suat 37 2014 Cyclotomic numbers and primitive idempotents in the ring \(\mathrm{GF}(q)[x]/(x^{p^n} - 1)\). Zbl 1075.11081 Sharma, Anuradha; Bakshi, Gurmeet K.; Dumir, V. C.; Raka, Madhu 37 2004 Negacyclic codes of length \(2p^s\) over \(\mathbb{F}_{p^m} + u \mathbb{F}_{p^m}\). Zbl 1320.94099 Dinh, Hai Quang; Wang, Liqi; Zhu, Shixin 36 2015 Two classes of two-weight linear codes. Zbl 1338.94100 Heng, Ziling; Yue, Qin 36 2016 Algebraic methods for parameterized codes and invariants of vanishing ideals over finite fields. Zbl 1209.13037 Rentería-Márquez, Carlos; Simis, Aron; Villarreal, Rafael H. 36 2011 On a conjecture about a class of permutation trinomials. Zbl 1404.11133 Bartoli, Daniele 35 2018 Cyclic codes over \(\text{GR}(p^2,m)\) of length \(p^k\). Zbl 1175.94124 Kiah, Han Mao; Leung, Ka Hin; Ling, San 35 2008 A triple-error-correcting cyclic code from the Gold and Kasami-Welch APN power functions. Zbl 1246.94053 Zeng, Xiangyong; Shan, Jinyong; Hu, Lei 35 2012 Transformations of well-poised hypergeometric functions over finite fields. Zbl 1276.11198 McCarthy, Dermot 35 2012 Minimal cyclic codes of length \(2p^n\). Zbl 1098.94639 Arora, Suresh Kumar; Pruthi, Manju 35 1999 On codes from norm-trace curves. Zbl 1032.94015 Geil, Olav 35 2003 Two new classes of quantum MDS codes. Zbl 1395.81095 Fang, Weijun; Fu, Fang-Wei 34 2018 The multiple-recursive matrix method for pseudorandom number generation. Zbl 0823.11041 Niederreiter, Harald 34 1995 Construction of some new quantum MDS codes. Zbl 1368.81064 Shi, Xueying; Yue, Qin; Zhu, Xiaomeng 34 2017 Experimental constructions of self-dual codes. Zbl 1031.94016 Gaborit, Philippe; Otmani, Ayoub 34 2003 Minimal cyclic codes of length \(p^{n} q\). Zbl 1038.94013 Bakshi, Gurmeet K.; Raka, Madhu 33 2003 Double circulant LCD codes over \(\mathbb{Z}_4\). Zbl 1456.94138 Shi, Minjia; Huang, Daitao; Sok, Lin; Solé, Patrick 33 2019 Sums of Betti numbers in arbitrary characteristic. Zbl 1068.14501 Katz, Nicholas M. 33 2001 On quasi-twisted codes over finite fields. Zbl 1248.94116 Jia, Yan 33 2012 Perfect nonlinear functions and cryptography. Zbl 1372.94413 Blondeau, Céline; Nyberg, Kaisa 32 2015 On the decomposition of self-dual codes over \(\mathbb F_2 + u\mathbb F_2\) with an automorphism of odd prime order. Zbl 1120.94011 Huffman, W. Cary 32 2007 Polycyclic codes over Galois rings with applications to repeated-root constacyclic codes. Zbl 1272.94092 López-Permouth, Sergio R.; Özadam, Hakan; Özbudak, Ferruh; Szabo, Steve 32 2013 Curves with many points and multiplication complexity in any extension of \(\mathbb{F}_q\). Zbl 0953.11022 Ballet, Stéphane 32 1999 Cyclotomy and permutation polynomials of large indices. Zbl 1331.11107 Wang, Qiang 31 2013 Power sums with applications to multizeta and zeta zero distribution for \(\mathbb F_q[t]\). Zbl 1228.11139 Thakur, Dinesh S. 31 2009 On modular cyclic codes. Zbl 1130.94333 Dougherty, Steven T.; Park, Young Ho 30 2007 The construction of Cameron-Liebler line classes in \(PG(3,q)\). Zbl 0927.51012 Bruen, A. A.; Drudge, Keldon 30 1999 A note on complete polynomials over finite fields and their applications in cryptography. Zbl 1302.11096 Muratović-Ribić, Amela; Pasalic, Enes 30 2014 On double cyclic codes over \(\mathbb{Z}_4\). Zbl 1339.94089 Gao, Jian; Shi, Minjia; Wu, Tingting; Fu, Fang-Wei 29 2016 A construction of linear codes and their complete weight enumerators. Zbl 1403.94115 Yang, Shudi; Kong, Xiangli; Tang, Chunming 29 2017 On subgroup perfect codes in Cayley sum graphs. Zbl 1533.05120 Zhang, Junyang 2 2024 The extended codes of some linear codes. Zbl 1540.94090 Sun, Zhonghua; Ding, Cunsheng; Chen, Tingfang 1 2024 Grassmannians of codes. Zbl 1531.51004 Cardinali, Ilaria; Giuzzi, Luca 1 2024 On the eigenvalues of the graphs \(D(5,q)\). Zbl 1533.05158 Gupta, Himanshu; Taranchuk, Vladislav 1 2024 Constructions of near MDS codes which are optimal locally recoverable codes. Zbl 1522.94115 Li, Xiaoru; Heng, Ziling 9 2023 Super-regular Steiner 2-designs. Zbl 1506.05031 Buratti, Marco; Nakić, Anamari 7 2023 On eigenfunctions and maximal cliques of generalised Paley graphs of square order. Zbl 1509.05116 Goryainov, Sergey; Shalaginov, Leonid; Yip, Chi Hoi 5 2023 Constructions of cyclic codes and extended primitive cyclic codes with their applications. Zbl 1516.94063 Heng, Ziling; Wang, Xinran; Li, Xiaoru 5 2023 Galois hulls of special Goppa codes and related codes with application to EAQECCs. Zbl 1522.94132 Liu, Jingge; Lin, Liren 4 2023 A quasidouble of the affine plane of order 4 and the solution of a problem on additive designs. Zbl 1526.05017 Pavone, Marco 4 2023 Investigations of \(c\)-differential uniformity of permutations with Carlitz rank 3. Zbl 1506.94049 Jeong, Jaeseong; Koo, Namhun; Kwon, Soonhak 3 2023 A general construction of permutation polynomials of \(\mathbb{F}_{q^2}\). Zbl 1518.11088 Hou, Xiang-dong; Pallozzi Lavorante, Vincenzo 3 2023 Hulls of double cyclic codes. Zbl 1530.94054 Gao, Jian; Wu, Tian; Fu, Fang-Wei 3 2023 Multi-orbit cyclic subspace codes and linear sets. Zbl 1521.94109 Zullo, Ferdinando 3 2023 On some conjectures on generalized quadratic Gauss sums and related problems. Zbl 1514.11049 Bag, Nilanjan; Rojas-León, Antonio; Zhang, Wenpeng 2 2023 Non-standard linear recurring sequence subgroups in finite fields and automorphisms of cyclic codes. I. Zbl 1508.94090 Hollmann, Henk D. L. 2 2023 Weight distributions of generalized quasi-cyclic codes over \(\mathbb{F}_q + u \mathbb{F}_q\). Zbl 1522.94123 Gao, Jian; Meng, Xiangrui; Fu, Fang-Wei 2 2023 Extending two families of bivariate APN functions. Zbl 1512.94067 Calderini, Marco; Li, Kangquan; Villa, Irene 2 2023 Stabilizer quantum codes defined by trace-depending polynomials. Zbl 1515.81079 Galindo, Carlos; Hernando, Fernando; Martín-Cruz, Helena; Ruano, Diego 2 2023 Bounds in the Lee metric and optimal codes. Zbl 1521.94070 Byrne, Eimear; Weger, Violetta 2 2023 Completely characterizing a class of permutation quadrinomials. Zbl 1522.11124 Kim, Kwang Ho; Mesnager, Sihem; Kim, Chung Hyok; Jo, Myong Chol 2 2023 Classification of some quadrinomials over finite fields of odd characteristic. Zbl 1519.11068 Özbudak, Ferruh; Gülmez Temür, Burcu 2 2023 On the error-correcting pair for MDS linear codes with even minimum distance. Zbl 1518.94130 He, Boyi; Liao, Qunying 2 2023 Higher Grassmann codes. II. Zbl 1528.94118 Can, Mahir Bilen; Joshua, Roy; Ravindra, G. V. 2 2023 Symmetric polynomials over finite fields. Zbl 1530.13011 Domokos, Mátyás; Miklósi, Botond 2 2023 Moments of quadratic Dirichlet \(L\)-functions over function fields. Zbl 1499.11347 Gao, Peng; Zhao, Liangyi 2 2023 Divisibility on point counting over finite Witt rings. Zbl 1534.11050 Cao, Wei; Wan, Daqing 2 2023 On additive MDS codes with linear projections. Zbl 07732842 Adriaensen, Sam; Ball, Simeon 2 2023 Five infinite families of binary cyclic codes and their related codes with good parameters. Zbl 1537.94094 Liu, Hai; Li, Chengju; Ding, Cunsheng 2 2023 Classifications and constructions of minimum size linear sets on the projective line. Zbl 1526.05022 Napolitano, Vito; Polverino, Olga; Santonastaso, Paolo; Zullo, Ferdinando 2 2023 Rational points of lattice ideals on a toric variety and toric codes. Zbl 1518.14074 Şahin, Mesut 1 2023 Classification of spreads of Tits quadrangles of order 64. Zbl 1522.51008 Monzillo, Giusy; Penttila, Tim; Siciliano, Alessandro 1 2023 Appell series over finite fields and modular forms. Zbl 1535.33014 Tripathi, Mohit 1 2023 Linearity and classification of \(\mathbb{Z}_p \mathbb{Z}_{p^2} \)-linear generalized Hadamard codes. Zbl 1508.94109 Bhunia, Dipak K.; Fernández-Córdoba, Cristina; Villanueva, Mercè 1 2023 Configurations of rectangles in \(\mathbb{F}_q^2\). Zbl 1505.52017 Koh, Doowon; Lee, Sujin; Pham, Thang; Shen, Chun-Yen 1 2023 Further improvements to the Chevalley-Warning theorems. Zbl 1526.11013 Leep, David B.; Petrik, Rachel L. 1 2023 Paley-like graphs over finite fields from vector spaces. Zbl 1512.05385 Reis, Lucas 1 2023 New results on permutation binomials of finite fields. Zbl 1523.11217 Hou, Xiang-dong; Pallozzi Lavorante, Vincenzo 1 2023 More constructions of \(n\)-cycle permutations. Zbl 1523.11220 Niu, Tailin; Li, Kangquan; Qu, Longjiang; Sun, Bing 1 2023 Polycyclic codes over \(\mathbb{F}_{p^m} [u] / \langle u^2 \rangle \): classification, Hamming distance, and annihilators. Zbl 1522.94122 Boudine, Brahim; Laaouine, Jamal 1 2023 Differential addition on binary elliptic curves. Zbl 1522.11132 Rezaeian Farashahi, Reza; Hosseini, Seyed Gholamhossein 1 2023 Several classes of exponential sums and three-valued Walsh spectrums over finite fields. Zbl 1522.11128 Li, Fengwei 1 2023 New families of flag-transitive linear spaces. Zbl 1511.05027 Feng, Tao; Lu, Jianbing 1 2023 A note on the distribution of weights of fixed-rank matrices over the binary field. Zbl 1512.15043 Sanna, Carlo 1 2023 Linear families of smooth hypersurfaces over finitely generated fields. Zbl 1516.14096 Asgarli, Shamil; Ghioca, Dragos; Reichstein, Zinovy 1 2023 On non-monomial APcN permutations over finite fields of even characteristic. Zbl 1516.94037 Jeong, Jaeseong; Koo, Namhun; Kwon, Soonhak 1 2023 Prime power residue and linear coverings of vector space over \(\mathbb{F}_q\). Zbl 1520.11006 Mishra, Bhawesh 1 2023 Generalized Lucas polynomials over finite fields. Zbl 1516.11112 Li, Lisha; Wang, Qiang; Zeng, Xiangyong 1 2023 On Kummer extensions with one place at infinity. Zbl 1525.14039 Mendoza, Erik A. R. 1 2023 The \(c\)-differential uniformity and boomerang uniformity of three classes of permutation polynomials over \(\mathbb{F}_{2^n}\). Zbl 1525.11144 Liu, Qian; Huang, Zhiwei; Xie, Jianrui; Liu, Ximeng; Zou, Jian 1 2023 On the proportion of locally soluble superelliptic curves. Zbl 07624058 Beneish, Lea; Keyes, Christopher 1 2023 Pseudorandom vector generation using elliptic curves and applications to Wiener processes. Zbl 1499.11251 Mok, Chung Pang 1 2023 Linear codes associated to symmetric determinantal varieties: even rank case. Zbl 1537.94086 Beelen, Peter; Johnsen, Trygve; Singh, Prasant 1 2023 More classes of permutation hexanomials and pentanomials over finite fields with even characteristic. Zbl 1520.05006 Zhang, Tongliang; Zheng, Lijing; Hao, Xinghui 1 2023 On \(r\)-primitive \(k\)-normal elements with prescribed norm and trace over finite fields. Zbl 1521.11079 Rani, Mamta; Sharma, Avnish K.; Tiwari, Sharwan K.; Panigrahi, Anupama 1 2023 The radical of binary dimensional dual hyperovals. Zbl 1521.51001 Dempwolff, Ulrich; Edel, Yves 1 2023 Several classes of Galois self-orthogonal MDS codes and related applications. Zbl 1533.94073 Li, Yang; Su, Yunfei; Zhu, Shixin; Li, Shitao; Shi, Minjia 1 2023 Doubly and triply extended MSRD codes. Zbl 1534.94116 Martínez-Peñas, Umberto 1 2023 Classification of some permutation quadrinomials from self reciprocal polynomials over \(\mathbb{F}_{2^n} \). Zbl 1530.11091 Brochero Martínez, F. E.; Gupta, Rohit; Quoos, Luciane 1 2023 On the graph of non-degenerate linear \([n,2]_2\) codes. Zbl 1526.05103 Pankov, Mark 1 2023 Almost affinely disjoint subspaces and covering Grassmannian codes. Zbl 1537.51006 Yu, Shuhui; Ji, Lijun 1 2023 Theory of additive complementary dual codes, constructions and computations. Zbl 1534.94106 Choi, Whan-Hyuk; Güneri, Cem; Kim, Jon-Lark; Özbudak, Ferruh 1 2023 Extending two families of maximum rank distance codes. Zbl 1500.94083 Neri, Alessandro; Santonastaso, Paolo; Zullo, Ferdinando 12 2022 More classes of permutation quadrinomials from Niho exponents in characteristic two. Zbl 1487.05017 Zheng, Lijing; Liu, Baixiang; Kan, Haibin; Peng, Jie; Tang, Deng 9 2022 Additive cyclic complementary dual codes over \(\mathbb{F}_4\). Zbl 1508.94101 Shi, Minjia; Liu, Na; Özbudak, Ferruh; Solé, Patrick 9 2022 Sum-rank product codes and bounds on the minimum distance. Zbl 1496.94090 Alfarano, Gianira N.; Lobillo, F. J.; Neri, Alessandro; Wachter-Zeh, Antonia 8 2022 On the clique number of Paley graphs of prime power order. Zbl 1495.11022 Yip, Chi Hoi 8 2022 Several classes of permutation polynomials of the form \((x^{p^m} - x + \delta)^s + x\) over \(\mathbb{F}_{p^{2m}}\). Zbl 1495.11133 Xu, Guangkui; Luo, Gaojun; Cao, Xiwang 6 2022 On pencils of cubics on the projective line over finite fields of characteristic \(>3\). Zbl 1492.14096 Günay, Gülizar; Lavrauw, Michel 6 2022 On incidence bounds with Möbius hyperbolae in positive characteristic. Zbl 1485.51007 Rudnev, Misha; Wheeler, James 6 2022 Investigating the exceptionality of scattered polynomials. Zbl 1480.11153 Bartoli, Daniele; Zini, Giovanni; Zullo, Ferdinando 6 2022 Few-weight codes over a non-chain ring associated with simplicial complexes and their distance optimal Gray image. Zbl 1512.94166 Shi, Minjia; Li, Xiaoxiao 5 2022 A further study of quadratic APN permutations in dimension nine. Zbl 1492.94238 Beierle, Christof; Carlet, Claude; Leander, Gregor; Perrin, Léo 5 2022 A class of almost MDS codes. Zbl 1492.94201 Geng, Xiaojun; Yang, Meng; Zhang, Jun; Zhou, Zhengchun 5 2022 Classification of fractional projective permutations over finite fields. Zbl 1522.11122 Göloğlu, Faruk 5 2022 On intersection density of transitive groups of degree a product of two odd primes. Zbl 1514.20016 Hujdurović, Ademir; Kutnar, Klavdija; Kuzma, Bojan; Marušič, Dragan; Miklavič, Štefko; Orel, Marko 5 2022 New classes of permutation trinomials over \(\mathbb{F}_{q^3}\). Zbl 1508.11112 Gupta, Rohit; Gahlyan, Pooja; Sharma, R. K. 5 2022 On the differential properties of the power mapping \(x^{p^m + 2}\). Zbl 1498.94074 Man, Yuying; Xia, Yongbo; Li, Chunlei; Helleseth, Tor 5 2022 Two-point AG codes from the Beelen-Montanucci maximal curve. Zbl 1483.11126 Landi, Leonardo; Vicino, Lara 4 2022 Flag codes of maximum distance and constructions using Singer groups. Zbl 1505.94124 Navarro-Pérez, Miguel Ángel; Soler-Escrivà, Xaro 4 2022 Counting irreducible polynomials with prescribed coefficients over a finite field. Zbl 1497.11285 Gao, Zhicheng; Kuttner, Simon; Wang, Qiang 4 2022 Two families of optimal ternary cyclic codes with minimal distance four. Zbl 1485.94168 Zhao, Hai; Luo, Rong; Sun, Tongjun 4 2022 On \(r\)-primitive \(k\)-normal elements over finite fields. Zbl 1497.11291 Rani, Mamta; Sharma, Avnish K.; Tiwari, Sharwan K. 4 2022 A class of linear sets in \(\mathrm{PG} (1,q^5)\). Zbl 1482.51004 Montanucci, Maria; Zanella, Corrado 4 2022 New Galois hulls of generalized Reed-Solomon codes. Zbl 1508.94076 Wu, Yansheng; Li, Chengju; Yang, Shangdong 4 2022 A Bertini type theorem for pencils over finite fields. Zbl 1478.14068 Asgarli, Shamil; Ghioca, Dragos 4 2022 Explicit equations for maximal curves as subcovers of the \(BM\) curve. Zbl 1475.11126 Mendoza, Erik A. R.; Quoos, Luciane 4 2022 Hulls of cyclic serial codes over a finite chain ring. Zbl 1476.14055 Talbi, Sarra; Batoul, Aicha; Fotue Tabue, Alexandre; Martínez-Moro, Edgar 4 2022 Frames over finite fields: basic theory and equiangular lines in unitary geometry. Zbl 1483.42019 Greaves, Gary R. W.; Iverson, Joseph W.; Jasper, John; Mixon, Dustin G. 4 2022 Some sum-product estimates in matrix rings over finite fields. Zbl 1485.11055 Xie, Chengfei; Ge, Gennian 3 2022 On the boomerang uniformity of permutations of low Carlitz rank. Zbl 1487.94122 Jeong, Jaeseong; Koo, Namhun; Kwon, Soonhak 3 2022 Splitting subspaces of linear operators over finite fields. Zbl 1484.11225 Aggarwal, Divya; Ram, Samrith 3 2022 The \(m\)-ovoids of \(\mathcal{W}(5, 2)\) and their generalizations. Zbl 1498.51008 Ceria, Michela; Pavese, Francesco 3 2022 On the constructions of \(\mathbb{Z}_p \mathbb{Z}_{p^2}\)-linear generalized Hadamard codes. Zbl 1508.94108 Bhunia, Dipak K.; Fernández-Córdoba, Cristina; Villanueva, Mercè 3 2022 A formula on the weight distribution of linear codes with applications to AMDS codes. Zbl 1501.94094 Meneghetti, Alessio; Pellegrini, Marco; Sala, Massimiliano 3 2022 A new identity of Dickson polynomials. Zbl 1539.12002 Bluher, Antonia W. 2 2022 Bases of Riemann-Roch spaces from Kummer extensions and algebraic geometry codes. Zbl 1531.14038 Garzón, A.; Navarro, H. 2 2022 Bounds for two multicolor Ramsey numbers concerning quadrilaterals. Zbl 1485.05112 Zhang, Xuemei; Chen, Yaojun; Cheng, T. C. Edwin 2 2022 Classification of flocks of the quadratic cone in PG(3,64). Zbl 1487.51006 Monzillo, Giusy; Penttila, Tim; Siciliano, Alessandro 2 2022 Permutation binomials of the form \(x^r (x^{q-1} +a)\) over \(\mathbb{F}_{q^e}\). Zbl 07483339 Masuda, Ariane M.; Rubio, Ivelisse M.; Santiago, Javier 2 2022 ...and 1486 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 5,045 Authors 83 Dinh, Hai Quang 83 Zhu, Shixin 80 Cao, Xiwang 73 Bartoli, Daniele 73 Yue, Qin 72 Zeng, Xiangyong 71 Özbudak, Ferruh 67 Shparlinski, Igor E. 64 Solé, Patrick 63 Fu, Fangwei 55 Shi, Minjia 52 Wang, Qiang (Steven) 51 Mesnager, Sihem 49 Hou, Xiang-Dong 45 Dougherty, Steven T. 41 Harada, Masaaki 40 Helleseth, Tor 39 Cao, Yonglin 39 Carlet, Claude 39 Tang, Chunming 38 Ding, Cunsheng 38 Hu, Lei 38 Li, Nian 37 Winterhof, Arne 36 Li, Chengju 36 Liu, Hongwei 36 Storme, Leo 35 Marino, Giuseppe 35 Zullo, Ferdinando 34 Gao, Jian 34 Xiang, Qing 33 Lee, Yoonjin 33 Yildiz, Bahattin 32 Cao, Yuan 32 Kai, Xiaoshan 32 Liu, Xiusheng 32 Maruta, Tatsuya 32 Qu, Longjiang 31 Niederreiter, Harald 30 Kaya, Abidin 30 Polverino, Olga 30 Reis, Lucas 29 Korban, Adrian 29 Sharma, Anuradha 28 Momihara, Koji 28 Montanucci, Maria 28 Zini, Giovanni 27 Feng, Tao 27 Jitman, Somphong 27 Marcugini, Stefano 27 Meidl, Wilfried 27 Pambianco, Fernanda 27 Sriboonchitta, Songsak 27 Villarreal, Rafael Heraclio 26 Beelen, Pieter Hendrik Turdus 26 Li, Ruihu 26 Panario, Daniel 26 Pavese, Francesco 26 Yan, Haode 25 Lavrauw, Michel 24 Geil, Olav 24 Giulietti, Massimo 24 Gulliver, Thomas Aaron 24 Stănică, Pantelimon 24 Wan, Daqing 24 Wang, Xiaoqiang 24 Zha, Zhengbang 23 Ballet, Stéphane 23 Guo, Jun 23 Heng, Ziling 23 Kim, Jon-Lark 23 Liao, Qunying 23 McGuire, Gary 23 Sharma, Rajendra Kumar 23 Wang, Kaishun 23 Wu, Yansheng 23 Zheng, Dabin 23 Zhou, Yue 22 Cohen, Stephen D. 22 Cossidente, Antonio 22 Dick, Josef 22 Vega, Gerardo 22 Yang, Shudi 22 Zhou, Zhengchun 21 Cao, Wei 21 Feng, Keqin 21 Kyureghyan, Gohar M. 21 Li, Chunlei 21 Ling, San 21 Prakash, Om 21 Qi, Wenfeng 21 Sheekey, John 21 Xu, Guangkui 20 Aydin, Nuh 20 Chen, Zhixiong 20 Csajbók, Bence 20 Fan, Cuiling 20 Gildea, Joe 20 Guenda, Kenza 20 Güneri, Cem ...and 4,945 more Authors all top 5 Cited in 425 Journals 1,213 Finite Fields and their Applications 661 Designs, Codes and Cryptography 363 Discrete Mathematics 297 Cryptography and Communications 236 Advances in Mathematics of Communications 180 Journal of Number Theory 171 Applicable Algebra in Engineering, Communication and Computing 123 Journal of Combinatorial Theory. 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Mathématique. Académie des Sciences, Paris 14 Prikladnaya Diskretnaya Matematika 13 International Journal of Computer Mathematics 13 Journal of Mathematical Sciences (New York) 13 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 13 Journal of Mathematical Cryptology 13 Research in the Mathematical Sciences 12 Archiv der Mathematik 12 Bulletin of the Brazilian Mathematical Society. New Series 12 Ars Mathematica Contemporanea 12 Korean Journal of Mathematics 11 Mathematical Notes 11 Rocky Mountain Journal of Mathematics 11 Integers 11 São Paulo Journal of Mathematical Sciences 11 Journal of Mathematics 10 Bulletin of the London Mathematical Society 10 Journal of the Korean Mathematical Society 10 Mathematika 10 Discrete & Computational Geometry 10 The Australasian Journal of Combinatorics 10 Experimental Mathematics 10 Acta Mathematica Sinica. 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