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: 2,013 Publications (since 1995) References Indexed: 1,908 Publications with 34,967 References. all top 5 Latest Issues 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) 15, No. 4 (2009) 15, No. 3 (2009) 15, No. 2 (2009) ...and 55 more Volumes all top 5 Authors 32 Hou, Xiang-Dong 27 Zeng, Xiangyong 26 Özbudak, Ferruh 24 Bartoli, Daniele 23 Shparlinski, Igor E. 23 Wang, Qiang (Steven) 22 Niederreiter, Harald 21 Ding, Cunsheng 18 Cao, Xiwang 17 Helleseth, Tor 17 Qi, Wenfeng 17 Yue, Qin 16 Hu, Lei 15 Wan, Daqing 14 Fu, Fangwei 14 Liu, Hongwei 14 Reis, Lucas 14 Solé, Patrick 14 Xiang, Qing 13 Cohen, Stephen D. 13 Dinh, Hai Quang 13 Harada, Masaaki 13 Lee, Yoonjin 13 Shi, Minjia 13 Yuan, Pingzhi 12 Beelen, Pieter Hendrik Turdus 12 Dougherty, Steven T. 12 Li, Nian 12 Qu, Longjiang 11 Ling, San 11 Maruta, Tatsuya 11 Mesnager, Sihem 11 Stichtenoth, Henning 11 Winterhof, Arne 11 Zha, Zhengbang 11 Zhu, Shixin 10 Coulter, Robert S. 10 Fitzgerald, Robert W. 10 Guo, Jun 10 Katz, Nicholas Michael 10 Lavrauw, Michel 10 Li, Chengju 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 Giulietti, Massimo 9 Marino, Giuseppe 9 Montanucci, Maria 9 Rúa, Ignacio Fernández 8 Ahmadi, Omran 8 Bluher, Antonia Wilson 8 Brochero Martínez, Fabio Enrique 8 Feng, Keqin 8 Heng, Ziling 8 Homma, Masaaki 8 Kim, Seon Jeong 8 Li, Chunlei 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 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 Nogueira, Joaquim Eurico 7 Pavese, Francesco 7 Peng, Jie 7 Raka, Madhu 7 Sun, Zhi-Wei 7 Tonchev, Vladimir D. 7 Wang, Liping 7 Zullo, Ferdinando 6 Bierbrauer, Jürgen ...and 1,929 more Authors all top 5 Fields 1,408 Number theory (11-XX) 771 Information and communication theory, circuits (94-XX) 337 Algebraic geometry (14-XX) 299 Combinatorics (05-XX) 195 Field theory and polynomials (12-XX) 190 Geometry (51-XX) 91 Group theory and generalizations (20-XX) 81 Commutative algebra (13-XX) 66 Linear and multilinear algebra; 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control (93-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 1,591 Publications have been cited 13,825 times in 6,184 Documents Cited by ▼ Year ▼ Permutation polynomials over finite fields – a survey of recent advances. Zbl 1325.11128 Hou, Xiang-dong 120 2015 On constructing permutations of finite fields. Zbl 1281.11102 Akbary, Amir; Ghioca, Dragos; Wang, Qiang 98 2011 A class of three-weight cyclic codes. Zbl 1305.94112 Zhou, Zhengchun; Ding, Cunsheng 93 2014 New cyclic difference sets with Singer parameters. Zbl 1043.05024 Dillon, J. F.; Dobbertin, Hans 92 2004 Permutation polynomials and applications to coding theory. Zbl 1107.11048 Laigle-Chapuy, Yann 91 2007 Constructing new APN functions from known ones. Zbl 1184.94228 Budaghyan, Lilya; Carlet, Claude; Leander, Gregor 90 2009 The weight distribution of a class of \(p\)-ary cyclic codes. Zbl 1206.94110 Zeng, Xiangyong; Hu, Lei; Jiang, Wenfeng; Yue, Qin; Cao, Xiwang 75 2010 On the classification and enumeration of self-dual codes. Zbl 1087.94023 Huffman, W. Cary 73 2005 Repeated-root constacyclic codes of length. Zbl 1231.94071 Dinh, Hai Quang 73 2012 Weight distributions of cyclic codes with respect to pairwise coprime order elements. Zbl 1366.94641 Li, Chengju; Yue, Qin; Li, Fengwei 73 2014 Weight distribution of some reducible cyclic codes. Zbl 1142.11084 Feng, Keqin; Luo, Jinquan 67 2008 Cyclic codes over the integers modulo \(p^m\). Zbl 1055.94541 Kanwar, Pramod; López-Permouth, Sergio R. 65 1997 Self-dual codes over commutative Frobenius rings. Zbl 1213.94193 Dougherty, Steven T.; Kim, Jon-Lark; Kulosman, Hamid; Liu, Hongwei 61 2010 New classes of permutation binomials and permutation trinomials over finite fields. Zbl 1351.11078 Li, Kangquan; Qu, Longjiang; Chen, Xi 61 2017 Low-discrepancy sequences and global function fields with many rational places. Zbl 0893.11029 Niederreiter, Harald; Xing, Chaoping 60 1996 Constacyclic codes over finite fields. Zbl 1272.94089 Chen, Bocong; Fan, Yun; Lin, Liren; Liu, Hongwei 59 2012 On the linear ordering of some classes of negacyclic and cyclic codes and their distance distributions. Zbl 1129.94047 Dinh, Hai Quang 57 2008 Quasi-cyclic complementary dual codes. Zbl 1364.94605 Güneri, Cem; Özkaya, Buket; Solé, Patrick 57 2016 New generalized cyclotomy and its applications. Zbl 0908.11058 Ding, Cunsheng; Helleseth, Tor 55 1998 On \(x^{q+1}+ax+b\). Zbl 1137.12300 Bluher, Antonia W. 55 2004 Some new classes of permutation trinomials over finite fields with even characteristic. Zbl 1372.11108 Gupta, Rohit; Sharma, R. K. 55 2016 Permutation polynomials over finite fields from a powerful lemma. Zbl 1258.11100 Yuan, Pingzhi; Ding, Cunsheng 54 2011 Improved explicit estimates on the number of solutions of equations over a finite field. Zbl 1163.11329 Cafure, Antonio; Matera, Guillermo 54 2006 Codes over \(R_k\), Gray maps and their binary images. Zbl 1213.94173 Dougherty, Steven T.; Yildiz, Bahattin; Karadeniz, Suat 54 2011 New families of quadratic almost perfect nonlinear trinomials and multinomials. Zbl 1153.11058 Bracken, Carl; Byrne, Eimear; Markin, Nadya; McGuire, Gary 54 2008 A highly nonlinear differentially 4 uniform power mapping that permutes fields of even degree. Zbl 1194.94182 Bracken, Carl; Leander, Gregor 54 2010 Linearized polynomials over finite fields revisited. Zbl 1345.11084 Wu, Baofeng; Liu, Zhuojun 54 2013 Several classes of complete permutation polynomials. Zbl 1284.05012 Tu, Ziran; Zeng, Xiangyong; Hu, Lei 53 2014 Determination of a type of permutation trinomials over finite fields. II. Zbl 1343.11093 Hou, Xiang-Dong 52 2015 A new class of monomial bent functions. Zbl 1162.94004 Canteaut, Anne; Charpin, Pascale; Kyureghyan, Gohar M. 50 2008 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 50 2017 Linear complexity of generalized cyclotomic binary sequences of order 2. Zbl 0908.11062 Ding, Cunsheng 47 1997 Minimal linear codes over finite fields. Zbl 1401.94262 Heng, Ziling; Ding, Cunsheng; Zhou, Zhengchun 47 2018 Binomial differentially 4 uniform permutations with high nonlinearity. Zbl 1267.94043 Bracken, Carl; Tan, Chik How; Tan, Yin 46 2012 A proof of the Welch and Niho conjectures on cross-correlations of binary \(m\)-sequences. Zbl 1027.94006 Hollmann, Henk D. L.; Xiang, Qing 46 2001 Permutation polynomials of the \((x^p - x+\delta)^s+L(x)\). Zbl 1211.11136 Yuan, Jin; Ding, Cunsheng; Wang, Huaxiong; Pieprzyk, Josef 45 2008 A class of constacyclic codes over a finite field. Zbl 1250.94067 Bakshi, Gurmeet K.; Raka, Madhu 45 2012 Perfect nonlinear binomials and their semifields. Zbl 1194.12003 Zha, Zhengbang; Kyureghyan, Gohar M.; Wang, Xueli 45 2009 Idempotents in group algebras and minimal abelian codes. Zbl 1176.94075 Ferraz, Raul Antonio; Polcino Milies, César 45 2007 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 45 2018 Two classes of permutation polynomials over finite fields. Zbl 1288.11111 Zha, Zhengbang; Hu, Lei 44 2012 Further results on permutation polynomials over finite fields. Zbl 1297.11148 Yuan, Pingzhi; Ding, Cunsheng 44 2014 Further results on permutation trinomials over finite fields with even characteristic. Zbl 1362.05006 Zha, Zhengbang; Hu, Lei; Fan, Shuqin 44 2017 LCD codes over finite chain rings. Zbl 1392.94931 Liu, Xiusheng; Liu, Hualu 44 2015 The weight distributions of a class of cyclic codes. Zbl 1271.94034 Xiong, Maosheng 43 2012 Cyclic self-dual \(\mathbb Z_4\)-codes. Zbl 1053.94573 Pless, Vera; Solé, Patrick; Qian, Zhongqiang 43 1997 Quasi-twisted codes with constacyclic constituent codes. Zbl 1339.94090 Shi, Minjia; Zhang, Yiping 43 2016 When does \(G(x)+\gamma \, \text{Tr}(H(x))\) permute \(\mathbb F_{p^n}\)? Zbl 1229.11153 Charpin, Pascale; Kyureghyan, Gohar 42 2009 Minimal codes of prime-power length. Zbl 1053.94574 Pruthi, Manju; Arora, Suresh Kumar 42 1997 All two-weight irreducible cyclic codes? Zbl 1023.94016 Schmidt, Bernhard; White, Clinton 42 2002 Combinatorial designs and the theorem of Weil on multiplicative character sums. Zbl 1211.05022 Buratti, Marco; Pasotti, Anita 42 2009 New Kloosterman sums identities over \(\mathbb F_{2^m}\) for all \(m\). Zbl 1081.11077 Helleseth, Tor; Zinoviev, Victor 42 2003 On complementary-dual quasi-cyclic codes. Zbl 1165.94009 Esmaeili, M.; Yari, S. 40 2009 Blocking sets in Desarguesian affine and projective planes. Zbl 0912.51004 Szőnyi, Tamás 39 1997 A class of new permutation trinomials. Zbl 1380.05002 Tu, Ziran; Zeng, Xiangyong; Li, Chunlei; Helleseth, Tor 39 2018 Galois LCD codes over finite fields. Zbl 1392.94960 Liu, Xiusheng; Fan, Yun; Liu, Hualu 39 2018 Constructing new differentially 4-uniform permutations from the inverse function. Zbl 1305.94084 Zha, Zhengbang; Hu, Lei; Sun, Siwei 39 2014 Further results on a class of permutation polynomials over finite fields. Zbl 1285.05004 Li, Nian; Helleseth, Tor; Tang, Xiaohu 39 2013 Negacyclic duadic codes. Zbl 1183.94058 Blackford, Thomas 38 2008 Four classes of permutation polynomials of \(\mathbb F_{2^m}\). Zbl 1167.11045 Yuan, Jin; Ding, Cunsheng 38 2007 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 38 2016 New entanglement-assisted quantum codes from \(k\)-Galois dual codes. Zbl 1404.94138 Liu, Xiusheng; Yu, Long; Hu, Peng 38 2019 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 Reversed Dickson polynomials over finite fields. Zbl 1228.11174 Hou, Xiang-Dong; Mullen, Gary L.; Sellers, James A.; Yucas, Joseph L. 37 2009 Two classes of permutation polynomials having the form \((x^{2^m}+x+\delta)^s+x\). Zbl 1320.11120 Tu, Ziran; Zeng, Xiangyong; Jiang, Yupeng 37 2015 On constacyclic codes over finite chain rings. Zbl 1305.94097 Cao, Yonglin 37 2013 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 Constructions of optimal LCD codes over large finite fields. Zbl 1436.94115 Sok, Lin; Shi, Minjia; Solé, Patrick 36 2018 On the subset sum problem over finite fields. Zbl 1189.11058 Li, Jiyou; Wan, Daqing 36 2008 Type II codes over \(\mathbb F_4\). Zbl 1009.94012 Gaborit, Philippe; Pless, Vera; Solé, Patrick; Atkin, Oliver 36 2002 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 Minimal cyclic codes of length \(2p^n\). Zbl 1098.94639 Arora, Suresh Kumar; Pruthi, Manju 35 1999 New maximum scattered linear sets of the projective line. Zbl 1401.51007 Csajbók, Bence; Marino, Giuseppe; Zullo, Ferdinando 35 2018 The multiple-recursive matrix method for pseudorandom number generation. Zbl 0823.11041 Niederreiter, Harald 34 1995 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 34 2014 Cyclic codes over \(\text{GR}(p^2,m)\) of length \(p^k\). Zbl 1175.94124 Kiah, Han Mao; Leung, Ka Hin; Ling, San 34 2008 On codes from norm-trace curves. Zbl 1032.94015 Geil, Olav 33 2003 Sums of Betti numbers in arbitrary characteristic. Zbl 1068.14501 Katz, Nicholas M. 32 2001 Minimal cyclic codes of length \(p^{n} q\). Zbl 1038.94013 Bakshi, Gurmeet K.; Raka, Madhu 32 2003 Two classes of two-weight linear codes. Zbl 1338.94100 Heng, Ziling; Yue, Qin 32 2016 Construction of some new quantum MDS codes. Zbl 1368.81064 Shi, Xueying; Yue, Qin; Zhu, Xiaomeng 32 2017 Experimental constructions of self-dual codes. Zbl 1031.94016 Gaborit, Philippe; Otmani, Ayoub 32 2003 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 31 2015 The dimension and minimum distance of two classes of primitive BCH codes. Zbl 1402.94100 Ding, Cunsheng; Fan, Cuiling; Zhou, Zhengchun 31 2017 Transformations of well-poised hypergeometric functions over finite fields. Zbl 1276.11198 McCarthy, Dermot 31 2012 Curves with many points and multiplication complexity in any extension of \(\mathbb{F}_q\). Zbl 0953.11022 Ballet, Stéphane 30 1999 The construction of Cameron-Liebler line classes in \(PG(3,q)\). Zbl 0927.51012 Bruen, A. A.; Drudge, Keldon 30 1999 Power sums with applications to multizeta and zeta zero distribution for \(\mathbb F_q[t]\). Zbl 1228.11139 Thakur, Dinesh S. 30 2009 Two new classes of quantum MDS codes. Zbl 1395.81095 Fang, Weijun; Fu, Fang-Wei 30 2018 On quasi-twisted codes over finite fields. Zbl 1248.94116 Jia, Yan 29 2012 On modular cyclic codes. Zbl 1130.94333 Dougherty, Steven T.; Park, Young Ho 29 2007 Perfect nonlinear functions and cryptography. Zbl 1372.94413 Blondeau, Céline; Nyberg, Kaisa 29 2015 On the structure of order domains. Zbl 1008.13007 Geil, Olav; Pellikaan, Ruud 29 2002 A note on complete polynomials over finite fields and their applications in cryptography. Zbl 1302.11096 Muratović-Ribić, Amela; Pasalic, Enes 29 2014 Cyclotomy and permutation polynomials of large indices. Zbl 1331.11107 Wang, Qiang 29 2013 On a conjecture about a class of permutation trinomials. Zbl 1404.11133 Bartoli, Daniele 29 2018 The weight distribution of some irreducible cyclic codes. Zbl 1231.94074 Sharma, Anuradha; Bakshi, Gurmeet K. 28 2012 A construction of linear codes and their complete weight enumerators. Zbl 1403.94115 Yang, Shudi; Kong, Xiangli; Tang, Chunming 28 2017 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 28 2013 Double circulant LCD codes over \(\mathbb{Z}_4\). Zbl 1456.94138 Shi, Minjia; Huang, Daitao; Sok, Lin; Solé, Patrick 28 2019 Grassmannians of codes. Zbl 07796480 Cardinali, Ilaria; Giuzzi, Luca 1 2024 Constructions of near MDS codes which are optimal locally recoverable codes. Zbl 1522.94115 Li, Xiaoru; Heng, Ziling 7 2023 Super-regular Steiner 2-designs. Zbl 1506.05031 Buratti, Marco; Nakić, Anamari 6 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 Galois hulls of special Goppa codes and related codes with application to EAQECCs. Zbl 1522.94132 Liu, Jingge; Lin, Liren 3 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 Hulls of double cyclic codes. Zbl 07680311 Gao, Jian; Wu, Tian; Fu, Fang-Wei 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 Five infinite families of binary cyclic codes and their related codes with good parameters. Zbl 07732857 Liu, Hai; Li, Chengju; Ding, Cunsheng 2 2023 Investigations of \(c\)-differential uniformity of permutations with Carlitz rank 3. Zbl 1506.94049 Jeong, Jaeseong; Koo, Namhun; Kwon, Soonhak 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 On eigenfunctions and maximal cliques of generalised Paley graphs of square order. Zbl 1509.05116 Goryainov, Sergey; Shalaginov, Leonid; Yip, Chi Hoi 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 Constructions of cyclic codes and extended primitive cyclic codes with their applications. Zbl 1516.94063 Heng, Ziling; Wang, Xinran; Li, Xiaoru 2 2023 On the error-correcting pair for MDS linear codes with even minimum distance. Zbl 1518.94130 He, Boyi; Liao, Qunying 2 2023 Extending two families of bivariate APN functions. Zbl 1512.94067 Calderini, Marco; Li, Kangquan; Villa, Irene 1 2023 On the graph of non-degenerate linear \([n,2]_2\) codes. Zbl 1526.05103 Pankov, Mark 1 2023 Theory of additive complementary dual codes, constructions and computations. Zbl 07761951 Choi, Whan-Hyuk; Güneri, Cem; Kim, Jon-Lark; Özbudak, Ferruh 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 Divisibility on point counting over finite Witt rings. Zbl 07732841 Cao, Wei; Wan, Daqing 1 2023 On additive MDS codes with linear projections. Zbl 07732842 Adriaensen, Sam; Ball, Simeon 1 2023 The radical of binary dimensional dual hyperovals. Zbl 1521.51001 Dempwolff, Ulrich; Edel, Yves 1 2023 Classification of some permutation quadrinomials from self reciprocal polynomials over \(\mathbb{F}_{2^n} \). Zbl 07732861 Brochero Martínez, F. E.; Gupta, Rohit; Quoos, Luciane 1 2023 Moments of quadratic Dirichlet \(L\)-functions over function fields. Zbl 1499.11347 Gao, Peng; Zhao, Liangyi 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 Stabilizer quantum codes defined by trace-depending polynomials. Zbl 1515.81079 Galindo, Carlos; Hernando, Fernando; Martín-Cruz, Helena; Ruano, Diego 1 2023 Bounds in the Lee metric and optimal codes. Zbl 1521.94070 Byrne, Eimear; Weger, Violetta 1 2023 Multi-orbit cyclic subspace codes and linear sets. Zbl 1521.94109 Zullo, Ferdinando 1 2023 A note on the distribution of weights of fixed-rank matrices over the binary field. Zbl 1512.15043 Sanna, Carlo 1 2023 Classification of some quadrinomials over finite fields of odd characteristic. Zbl 1519.11068 Özbudak, Ferruh; Gülmez Temür, Burcu 1 2023 Linear families of smooth hypersurfaces over finitely generated fields. Zbl 1516.14096 Asgarli, Shamil; Ghioca, Dragos; Reichstein, Zinovy 1 2023 Generalized Lucas polynomials over finite fields. Zbl 1516.11112 Li, Lisha; Wang, Qiang; Zeng, Xiangyong 1 2023 Higher Grassmann codes. II. Zbl 1528.94118 Can, Mahir Bilen; Joshua, Roy; Ravindra, G. V. 1 2023 Appell series over finite fields and modular forms. Zbl 07697560 Tripathi, Mohit 1 2023 On the clique number of Paley graphs of prime power order. Zbl 1495.11022 Yip, Chi Hoi 6 2022 Extending two families of maximum rank distance codes. Zbl 1500.94083 Neri, Alessandro; Santonastaso, Paolo; Zullo, Ferdinando 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 5 2022 Classification of fractional projective permutations over finite fields. Zbl 1522.11122 Göloğlu, Faruk 5 2022 A class of almost MDS codes. Zbl 1492.94201 Geng, Xiaojun; Yang, Meng; Zhang, Jun; Zhou, Zhengchun 5 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 5 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 5 2022 A Bertini type theorem for pencils over finite fields. Zbl 1478.14068 Asgarli, Shamil; Ghioca, Dragos 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 A further study of quadratic APN permutations in dimension nine. Zbl 1492.94238 Beierle, Christof; Carlet, Claude; Leander, Gregor; Perrin, Léo 4 2022 On \(r\)-primitive \(k\)-normal elements over finite fields. Zbl 1497.11291 Rani, Mamta; Sharma, Avnish K.; Tiwari, Sharwan K. 4 2022 New Galois hulls of generalized Reed-Solomon codes. Zbl 1508.94076 Wu, Yansheng; Li, Chengju; Yang, Shangdong 4 2022 Additive cyclic complementary dual codes over \(\mathbb{F}_4\). Zbl 1508.94101 Shi, Minjia; Liu, Na; Özbudak, Ferruh; Solé, Patrick 4 2022 On the differential properties of the power mapping \(x^{p^m + 2}\). Zbl 1498.94074 Man, Yuying; Xia, Yongbo; Li, Chunlei; Helleseth, Tor 4 2022 New classes of permutation trinomials over \(\mathbb{F}_{q^3}\). Zbl 1508.11112 Gupta, Rohit; Gahlyan, Pooja; Sharma, R. K. 4 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 4 2022 Counting irreducible polynomials with prescribed coefficients over a finite field. Zbl 1497.11285 Gao, Zhicheng; Kuttner, Simon; Wang, Qiang 4 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 4 2022 Two families of optimal ternary cyclic codes with minimal distance four. Zbl 1485.94168 Zhao, Hai; Luo, Rong; Sun, Tongjun 3 2022 Some sum-product estimates in matrix rings over finite fields. Zbl 1485.11055 Xie, Chengfei; Ge, Gennian 3 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 3 2022 Two-point AG codes from the Beelen-Montanucci maximal curve. Zbl 1483.11126 Landi, Leonardo; Vicino, Lara 3 2022 Splitting subspaces of linear operators over finite fields. Zbl 1484.11225 Aggarwal, Divya; Ram, Samrith 3 2022 A class of linear sets in \(\mathrm{PG} (1,q^5)\). Zbl 1482.51004 Montanucci, Maria; Zanella, Corrado 3 2022 New differentially 4-uniform permutations from modifications of the inverse function. Zbl 1479.94195 Jeong, Jaeseong; Koo, Namhun; Kwon, Soonhak 2 2022 Pure Gauss sums and skew Hadamard difference sets. Zbl 1475.11215 Momihara, Koji 2 2022 A formula on the weight distribution of linear codes with applications to AMDS codes. Zbl 1501.94094 Meneghetti, Alessio; Pellegrini, Marco; Sala, Massimiliano 2 2022 Primitive idempotents in central simple algebras over \(\mathbb{F}_q(t)\) with an application to coding theory. Zbl 1494.16015 Gómez-Torrecillas, J.; Kutas, P.; Lobillo, F. J.; Navarro, G. 2 2022 Explicit equations for maximal curves as subcovers of the \(BM\) curve. Zbl 1475.11126 Mendoza, Erik A. R.; Quoos, Luciane 2 2022 On the constructions of MDS self-dual codes via cyclotomy. Zbl 1486.94188 Zhang, Aixian; Feng, Keqin 2 2022 \(p\)-adic valuations associated to fibers and images of polynomial functions. Zbl 1487.11110 Cao, Wei 2 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. 2 2022 On the boomerang uniformity of permutations of low Carlitz rank. Zbl 1487.94122 Jeong, Jaeseong; Koo, Namhun; Kwon, Soonhak 2 2022 Energy bounds, bilinear forms and their applications in function fields. Zbl 1511.11099 Bagshaw, Christian; Shparlinski, Igor E. 2 2022 On monomial generalized almost perfect nonlinear functions. Zbl 1505.94067 Bartoli, Daniele; Giulietti, Massimo; Peraro, Gaia; Zini, Giovanni 2 2022 Cyclotomic matrices and hypergeometric functions over finite fields. Zbl 1505.11048 Wu, Hai-Liang; She, Yue-Feng; Wang, Li-Yuan 2 2022 The probability of spanning a classical space by two non-degenerate subspaces of complementary dimensions. Zbl 1491.51017 Glasby, S. P.; Niemeyer, Alice C.; Praeger, Cheryl E. 2 2022 Polynomial matrices, splitting subspaces and Krylov subspaces over finite fields. Zbl 1496.15021 Aggarwal, Divya; Ram, Samrith 2 2022 Coset-wise affine functions and cycle types of complete mappings. Zbl 1493.12006 Bors, Alexander; Wang, Qiang 2 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 2 2022 Low-lying zeros in families of elliptic curve \(L\)-functions over function fields. Zbl 1511.11063 Meisner, Patrick; Södergren, Anders 2 2022 The \(m\)-ovoids of \(\mathcal{W}(5, 2)\) and their generalizations. Zbl 1498.51008 Ceria, Michela; Pavese, Francesco 2 2022 Flag codes of maximum distance and constructions using Singer groups. Zbl 1505.94124 Navarro-Pérez, Miguel Ángel; Soler-Escrivà, Xaro 2 2022 A new identity of Dickson polynomials. Zbl 07505587 Bluher, Antonia W. 2 2022 Primitive normal pairs with prescribed norm and trace. Zbl 1484.11226 Sharma, Avnish K.; Rani, Mamta; Tiwari, Sharwan K. 2 2022 Some new constructions of MDS self-dual codes over finite fields. Zbl 1501.94090 Lebed, Khawla; Liu, Hongwei 1 2022 Genus fields of Kummer extensions of rational function fields. Zbl 1509.11110 Rzedowski-Calderón, Martha; Villa-Salvador, Gabriel 1 2022 On a generalization of Jacobi sums. Zbl 1475.11216 Rojas-León, Antonio 1 2022 On sums and products of combinatorial cubes. Zbl 1487.11011 Shkredov, I. D. 1 2022 A function field approach toward good polynomials for further results on optimal LRC codes. Zbl 1489.94134 Chen, Ruikai; Mesnager, Sihem 1 2022 Exponential sums and rigid cohomology. Zbl 1496.11138 Li, Peigen 1 2022 Classification of flocks of the quadratic cone in PG(3,64). Zbl 1487.51006 Monzillo, Giusy; Penttila, Tim; Siciliano, Alessandro 1 2022 Rédei permutations with the same cycle structure. Zbl 1490.11114 Capaverde, Juliane; Masuda, Ariane M.; Rodrigues, Virgínia M. 1 2022 A modular equality for Cameron-Liebler line classes in projective and affine spaces of odd dimension. Zbl 1490.51006 De Beule, J.; Mannaert, J. 1 2022 A new class of generalized almost perfect nonlinear power function. Zbl 1490.94065 Wang, Lixia; Wang, Libo; Zhang, Bicheng 1 2022 More results on hulls of some primitive binary and ternary BCH codes. Zbl 1501.94108 Lei, Yinzhao; Li, Chengju; Wu, Yansheng; Zeng, Peng 1 2022 Character sums over affine spaces and applications. Zbl 1508.11115 Reis, Lucas 1 2022 Group LCD and group reversible LCD codes. Zbl 1510.94090 Dougherty, Steven T.; Gildea, Joe; Korban, Adrian; Roberts, Adam M. 1 2022 On the Northcott property of zeta functions over function fields. Zbl 1521.11045 Généreux, Xavier; Lalín, Matilde; Li, Wanlin 1 2022 Enumeration of self-reciprocal irreducible monic polynomials with prescribed leading coefficients over a finite field. Zbl 1508.11111 Gao, Zhicheng 1 2022 Solving \(X^{2^{3n} + 2^{2n} + 2^n - 1} + (X + 1)^{2^{3n} + 2^{2n} + 2^n - 1} = b\) in \(\mathbb{F}_{2^{4 n}}\) and an alternative proof of a conjecture on the differential spectrum of the related monomial functions. Zbl 1497.11288 Kim, Kwang Ho; Mesnager, Sihem 1 2022 Constructions of projective linear codes by the intersection and difference of sets. Zbl 1508.94069 Heng, Ziling; Chen, Fuling; Xie, Chunlei; Li, Dexiang 1 2022 Primitive elements with prescribed traces. Zbl 1519.11069 Booker, Andrew R.; Cohen, Stephen D.; Leong, Nicol; Trudgian, Tim 1 2022 ...and 1481 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 4,751 Authors 75 Zhu, Shixin 74 Dinh, Hai Quang 70 Bartoli, Daniele 69 Yue, Qin 69 Zeng, Xiangyong 67 Cao, Xiwang 65 Shparlinski, Igor E. 63 Özbudak, Ferruh 60 Fu, Fangwei 60 Solé, Patrick 51 Wang, Qiang (Steven) 50 Shi, Minjia 49 Hou, Xiang-Dong 44 Mesnager, Sihem 43 Dougherty, Steven T. 40 Helleseth, Tor 39 Harada, Masaaki 38 Winterhof, Arne 37 Cao, Yonglin 37 Carlet, Claude 37 Hu, Lei 37 Li, Nian 36 Tang, Chunming 35 Liu, Hongwei 35 Storme, Leo 34 Ding, Cunsheng 34 Gao, Jian 34 Li, Chengju 34 Xiang, Qing 33 Yildiz, Bahattin 32 Marino, Giuseppe 32 Maruta, Tatsuya 32 Qu, Longjiang 30 Cao, Yuan 30 Lee, Yoonjin 30 Niederreiter, Harald 30 Zullo, Ferdinando 29 Kai, Xiaoshan 29 Kaya, Abidin 29 Liu, Xiusheng 29 Sharma, Anuradha 28 Momihara, Koji 28 Polverino, Olga 28 Reis, Lucas 27 Montanucci, Maria 27 Villarreal, Rafael Heraclio 27 Zini, Giovanni 26 Marcugini, Stefano 26 Meidl, Wilfried 26 Pambianco, Fernanda 26 Pavese, Francesco 26 Sriboonchitta, Songsak 25 Beelen, Pieter Hendrik Turdus 25 Feng, Tao 25 Jitman, Somphong 25 Lavrauw, Michel 25 Panario, Daniel 25 Yan, Haode 24 Giulietti, Massimo 24 Korban, Adrian 23 Geil, Olav 23 Gulliver, Thomas Aaron 23 Guo, Jun 23 Kim, Jon-Lark 23 Li, Ruihu 23 Sharma, Rajendra Kumar 23 Stănică, Pantelimon 23 Wang, Kaishun 23 Wu, Yansheng 22 Ballet, Stéphane 22 Cossidente, Antonio 22 Dick, Josef 22 McGuire, Gary 22 Vega, Gerardo 22 Wan, Daqing 22 Wang, Xiaoqiang 22 Zha, Zhengbang 22 Zhou, Zhengchun 21 Cohen, Stephen D. 21 Heng, Ziling 21 Liao, Qunying 21 Ling, San 21 Yang, Shudi 21 Zhou, Yue 20 Cao, Wei 20 Chen, Zhixiong 20 Feng, Keqin 20 Güneri, Cem 20 Kyureghyan, Gohar M. 20 Li, Chunlei 20 Qi, Wenfeng 20 Sheekey, John 20 Szőnyi, Tamás 20 Xu, Guangkui 20 Zheng, Dabin 19 Calderini, Marco 19 Csajbók, Bence 19 Fan, Cuiling 19 Gildea, Joe 19 Giuzzi, Luca ...and 4,651 more Authors all top 5 Cited in 412 Journals 1,168 Finite Fields and their Applications 625 Designs, Codes and Cryptography 340 Discrete Mathematics 278 Cryptography and Communications 197 Advances in Mathematics of Communications 174 Journal of Number Theory 160 Applicable Algebra in Engineering, Communication and Computing 114 Journal of Combinatorial Theory. 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Commentarii Mathematici 7 Geometriae Dedicata 7 Journal of Cryptology 7 Discrete Mathematics and Applications ...and 312 more Journals all top 5 Cited in 56 Fields 3,370 Number theory (11-XX) 2,960 Information and communication theory, circuits (94-XX) 1,048 Combinatorics (05-XX) 849 Algebraic geometry (14-XX) 609 Geometry (51-XX) 428 Field theory and polynomials (12-XX) 300 Group theory and generalizations (20-XX) 247 Commutative algebra (13-XX) 209 Quantum theory (81-XX) 166 Associative rings and algebras (16-XX) 157 Linear and multilinear algebra; matrix theory (15-XX) 156 Computer science (68-XX) 133 Numerical analysis (65-XX) 120 Order, lattices, ordered algebraic structures (06-XX) 97 Special functions (33-XX) 65 Dynamical systems and ergodic theory (37-XX) 60 Convex and discrete geometry (52-XX) 29 Harmonic analysis on Euclidean spaces (42-XX) 25 Nonassociative rings and algebras (17-XX) 21 Probability theory and stochastic processes (60-XX) 19 Functional analysis (46-XX) 16 Ordinary differential equations (34-XX) 15 Mathematical logic and foundations (03-XX) 15 Measure and integration (28-XX) 15 Statistics (62-XX) 12 Functions of a complex variable (30-XX) 12 Approximations and expansions (41-XX) 11 History and biography (01-XX) 11 Topological groups, Lie groups (22-XX) 10 Several complex variables and analytic spaces (32-XX) 9 Real functions (26-XX) 9 Abstract harmonic analysis (43-XX) 9 Operations research, mathematical programming (90-XX) 8 Biology and other natural sciences (92-XX) 7 General and overarching topics; collections (00-XX) 7 Manifolds and cell complexes (57-XX) 7 Systems theory; control (93-XX) 6 Operator theory (47-XX) 6 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 5 Category theory; homological algebra (18-XX) 4 Statistical mechanics, structure of matter (82-XX) 3 \(K\)-theory (19-XX) 3 Calculus of variations and optimal control; optimization (49-XX) 3 Differential geometry (53-XX) 3 General topology (54-XX) 2 General algebraic systems (08-XX) 2 Potential theory (31-XX) 2 Partial differential equations (35-XX) 2 Sequences, series, summability (40-XX) 2 Integral transforms, operational calculus (44-XX) 2 Mechanics of particles and systems (70-XX) 2 Relativity and gravitational theory (83-XX) 1 Difference and functional equations (39-XX) 1 Integral equations (45-XX) 1 Algebraic topology (55-XX) 1 Global analysis, analysis on manifolds (58-XX) Citations by Year