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: 1,925 Publications (since 1995) References Indexed: 1,821 Publications with 32,944 References. all top 5 Latest Issues 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) 15, No. 1 (2009) 14, No. 4 (2008) 14, No. 3 (2008) 14, No. 2 (2008) ...and 51 more Volumes all top 5 Authors 30 Hou, Xiang-Dong 26 Zeng, Xiangyong 25 Özbudak, Ferruh 22 Bartoli, Daniele 22 Niederreiter, Harald 22 Shparlinski, Igor E. 22 Wang, Qiang (Steven) 20 Ding, Cunsheng 17 Helleseth, Tor 17 Qi, Wenfeng 16 Cao, Xiwang 16 Hu, Lei 16 Yue, Qin 14 Reis, Lucas 14 Solé, Patrick 14 Wan, Daqing 14 Xiang, Qing 13 Cohen, Stephen D. 13 Dinh, Hai Quang 13 Fu, Fangwei 13 Harada, Masaaki 13 Lee, Yoonjin 13 Shi, Minjia 12 Yuan, Pingzhi 11 Beelen, Pieter Hendrik Turdus 11 Dougherty, Steven T. 11 Li, Nian 11 Ling, San 11 Qu, Longjiang 11 Stichtenoth, Henning 11 Winterhof, Arne 11 Zha, Zhengbang 11 Zhu, Shixin 10 Coulter, Robert S. 10 Guo, Jun 10 Katz, Nicholas Michael 10 Lavrauw, Michel 10 McGuire, Gary 10 Meidl, Wilfried 10 Momihara, Koji 10 Sala, Massimiliano 10 Tu, Ziran 9 Bakshi, Gurmeet K. 9 Cao, Yonglin 9 Chen, Bocong 9 Fan, Shuqin 9 Giulietti, Massimo 9 Li, Chengju 9 Liu, Hongwei 9 Maruta, Tatsuya 9 Rúa, Ignacio Fernández 8 Ahmadi, Omran 8 Bluher, Antonia Wilson 8 Feng, Keqin 8 Heng, Ziling 8 Homma, Masaaki 8 Kim, Seon Jeong 8 Li, Chunlei 8 Marino, Giuseppe 8 Meemark, Yotsanan 8 Mesnager, Sihem 8 Montanucci, Maria 8 Sharma, Anuradha 8 Storme, Leo 8 Taniguchi, Hiroaki 8 Yildiz, Bahattin 8 Yucas, Joseph L. 8 Zini, Giovanni 7 Anbar, Nurdagül 7 Ballico, Edoardo 7 Charpin, Pascale 7 Cossidente, Antonio 7 Fukasawa, Satoru 7 Geil, Olav 7 Ghorpade, Sudhir R. 7 Kaya, Abidin 7 Kim, Hyunjin 7 Kim, Kwang Ho 7 Kyureghyan, Gohar M. 7 Lasjaunias, Alain 7 Martínez-Moro, Edgar 7 Moisio, Marko J. 7 Pavese, Francesco 7 Polverino, Olga 7 Raka, Madhu 7 Tonchev, Vladimir D. 7 Wang, Liping 6 Bierbrauer, Jürgen 6 Borges, Herivelto 6 Brison, Owen J. 6 Cao, Wei 6 Carlet, Claude 6 Carvalho, Cícero F. 6 Chou, Wunseng 6 Evans, Ronald J. 6 Feng, Rongquan 6 Feng, Tao 6 Fernández-Córdoba, Cristina 6 Gao, Jian 6 Garefalakis, Theodoulos ...and 1,842 more Authors all top 5 Fields 1,355 Number theory (11-XX) 729 Information and communication theory, circuits (94-XX) 327 Algebraic geometry (14-XX) 279 Combinatorics (05-XX) 186 Field theory and polynomials (12-XX) 181 Geometry (51-XX) 89 Group theory and generalizations (20-XX) 79 Commutative algebra (13-XX) 58 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 1,524 Publications have been cited 12,565 times in 5,734 Documents Cited by ▼ Year ▼ Permutation polynomials over finite fields – a survey of recent advances. Zbl 1325.11128Hou, Xiang-dong 110 2015 New cyclic difference sets with Singer parameters. Zbl 1043.05024Dillon, J. F.; Dobbertin, Hans 89 2004 On constructing permutations of finite fields. Zbl 1281.11102Akbary, Amir; Ghioca, Dragos; Wang, Qiang 88 2011 A class of three-weight cyclic codes. Zbl 1305.94112Zhou, Zhengchun; Ding, Cunsheng 83 2014 Constructing new APN functions from known ones. Zbl 1184.94228Budaghyan, Lilya; Carlet, Claude; Leander, Gregor 81 2009 Permutation polynomials and applications to coding theory. Zbl 1107.11048Laigle-Chapuy, Yann 80 2007 The weight distribution of a class of \(p\)-ary cyclic codes. Zbl 1206.94110Zeng, Xiangyong; Hu, Lei; Jiang, Wenfeng; Yue, Qin; Cao, Xiwang 71 2010 Repeated-root constacyclic codes of length. Zbl 1231.94071Dinh, Hai Quang 71 2012 On the classification and enumeration of self-dual codes. Zbl 1087.94023Huffman, W. Cary 68 2005 Cyclic codes over the integers modulo \(p^m\). Zbl 1055.94541Kanwar, Pramod; López-Permouth, Sergio R. 65 1997 Weight distributions of cyclic codes with respect to pairwise coprime order elements. Zbl 1366.94641Li, Chengju; Yue, Qin; Li, Fengwei 64 2014 Weight distribution of some reducible cyclic codes. Zbl 1142.11084Feng, Keqin; Luo, Jinquan 63 2008 Self-dual codes over commutative Frobenius rings. Zbl 1213.94193Dougherty, Steven T.; Kim, Jon-Lark; Kulosman, Hamid; Liu, Hongwei 59 2010 Low-discrepancy sequences and global function fields with many rational places. Zbl 0893.11029Niederreiter, Harald; Xing, Chaoping 58 1996 New classes of permutation binomials and permutation trinomials over finite fields. Zbl 1351.11078Li, Kangquan; Qu, Longjiang; Chen, Xi 57 2017 Constacyclic codes over finite fields. Zbl 1272.94089Chen, Bocong; Fan, Yun; Lin, Liren; Liu, Hongwei 56 2012 On the linear ordering of some classes of negacyclic and cyclic codes and their distance distributions. Zbl 1129.94047Dinh, Hai Quang 55 2008 Quasi-cyclic complementary dual codes. Zbl 1364.94605Güneri, Cem; Özkaya, Buket; Solé, Patrick 54 2016 New generalized cyclotomy and its applications. Zbl 0908.11058Ding, Cunsheng; Helleseth, Tor 53 1998 A highly nonlinear differentially 4 uniform power mapping that permutes fields of even degree. Zbl 1194.94182Bracken, Carl; Leander, Gregor 53 2010 On \(x^{q+1}+ax+b\). Zbl 1137.12300Bluher, Antonia W. 52 2004 New families of quadratic almost perfect nonlinear trinomials and multinomials. Zbl 1153.11058Bracken, Carl; Byrne, Eimear; Markin, Nadya; McGuire, Gary 52 2008 Linearized polynomials over finite fields revisited. Zbl 1345.11084Wu, Baofeng; Liu, Zhuojun 51 2013 Some new classes of permutation trinomials over finite fields with even characteristic. Zbl 1372.11108Gupta, Rohit; Sharma, R. K. 51 2016 Codes over \(R_k\), Gray maps and their binary images. Zbl 1213.94173Dougherty, Steven T.; Yildiz, Bahattin; Karadeniz, Suat 50 2011 Permutation polynomials over finite fields from a powerful lemma. Zbl 1258.11100Yuan, Pingzhi; Ding, Cunsheng 50 2011 Several classes of complete permutation polynomials. Zbl 1284.05012Tu, Ziran; Zeng, Xiangyong; Hu, Lei 50 2014 Determination of a type of permutation trinomials over finite fields. II. Zbl 1343.11093Hou, Xiang-Dong 50 2015 A new class of monomial bent functions. Zbl 1162.94004Canteaut, Anne; Charpin, Pascale; Kyureghyan, Gohar M. 47 2008 Improved explicit estimates on the number of solutions of equations over a finite field. Zbl 1163.11329Cafure, Antonio; Matera, Guillermo 46 2006 Idempotents in group algebras and minimal abelian codes. Zbl 1176.94075Ferraz, Raul Antonio; Polcino Milies, César 45 2007 On constacyclic codes over \(\mathbb{Z}_4 [u] / \langle u^2 - 1 \rangle\) and their Gray images. Zbl 1392.94945Shi, Minjia; Qian, Liqin; Sok, Lin; Aydin, Nuh; Solé, Patrick 45 2017 A proof of the Welch and Niho conjectures on cross-correlations of binary \(m\)-sequences. Zbl 1027.94006Hollmann, Henk D. L.; Xiang, Qing 44 2001 Binomial differentially 4 uniform permutations with high nonlinearity. Zbl 1267.94043Bracken, Carl; Tan, Chik How; Tan, Yin 44 2012 Linear complexity of generalized cyclotomic binary sequences of order 2. Zbl 0908.11062Ding, Cunsheng 44 1997 A class of constacyclic codes over a finite field. Zbl 1250.94067Bakshi, Gurmeet K.; Raka, Madhu 43 2012 Two classes of permutation polynomials over finite fields. Zbl 1288.11111Zha, Zhengbang; Hu, Lei 43 2012 Permutation polynomials of the \((x^p - x+\delta)^s+L(x)\). Zbl 1211.11136Yuan, Jin; Ding, Cunsheng; Wang, Huaxiong; Pieprzyk, Josef 43 2008 Cyclic self-dual \(\mathbb Z_4\)-codes. Zbl 1053.94573Pless, Vera; Solé, Patrick; Qian, Zhongqiang 43 1997 When does \(G(x)+\gamma \, \text{Tr}(H(x))\) permute \(\mathbb F_{p^n}\)? Zbl 1229.11153Charpin, Pascale; Kyureghyan, Gohar 42 2009 Entanglement-assisted quantum MDS codes from constacyclic codes with large minimum distance. Zbl 1395.81097Lu, Liangdong; Ma, Wenping; Li, Ruihu; Ma, Yuena; Liu, Yang; Cao, Hao 42 2018 Minimal codes of prime-power length. Zbl 1053.94574Pruthi, Manju; Arora, Suresh Kumar 42 1997 The weight distributions of a class of cyclic codes. Zbl 1271.94034Xiong, Maosheng 41 2012 Perfect nonlinear binomials and their semifields. Zbl 1194.12003Zha, Zhengbang; Kyureghyan, Gohar M.; Wang, Xueli 41 2009 Further results on permutation polynomials over finite fields. Zbl 1297.11148Yuan, Pingzhi; Ding, Cunsheng 41 2014 Quasi-twisted codes with constacyclic constituent codes. Zbl 1339.94090Shi, Minjia; Zhang, Yiping 41 2016 New Kloosterman sums identities over \(\mathbb F_{2^m}\) for all \(m\). Zbl 1081.11077Helleseth, Tor; Zinoviev, Victor 39 2003 Minimal linear codes over finite fields. Zbl 1401.94262Heng, Ziling; Ding, Cunsheng; Zhou, Zhengchun 39 2018 Further results on permutation trinomials over finite fields with even characteristic. Zbl 1362.05006Zha, Zhengbang; Hu, Lei; Fan, Shuqin 39 2017 All two-weight irreducible cyclic codes? Zbl 1023.94016Schmidt, Bernhard; White, Clinton 38 2002 Further results on a class of permutation polynomials over finite fields. Zbl 1285.05004Li, Nian; Helleseth, Tor; Tang, Xiaohu 38 2013 Negacyclic duadic codes. Zbl 1183.94058Blackford, Thomas 37 2008 Blocking sets in Desarguesian affine and projective planes. Zbl 0912.51004Szőnyi, Tamás 37 1997 Cyclotomic numbers and primitive idempotents in the ring \(\mathrm{GF}(q)[x]/(x^{p^n} - 1)\). Zbl 1075.11081Sharma, Anuradha; Bakshi, Gurmeet K.; Dumir, V. C.; Raka, Madhu 36 2004 Reversed Dickson polynomials over finite fields. Zbl 1228.11174Hou, Xiang-Dong; Mullen, Gary L.; Sellers, James A.; Yucas, Joseph L. 36 2009 Combinatorial designs and the theorem of Weil on multiplicative character sums. Zbl 1211.05022Buratti, Marco; Pasotti, Anita 36 2009 On complementary-dual quasi-cyclic codes. Zbl 1165.94009Esmaeili, M.; Yari, S. 36 2009 Four classes of permutation polynomials of \(\mathbb F_{2^m}\). Zbl 1167.11045Yuan, Jin; Ding, Cunsheng 36 2007 Constructing new differentially 4-uniform permutations from the inverse function. Zbl 1305.94084Zha, Zhengbang; Hu, Lei; Sun, Siwei 36 2014 On constacyclic codes over finite chain rings. Zbl 1305.94097Cao, Yonglin 36 2013 LCD codes over finite chain rings. Zbl 1392.94931Liu, Xiusheng; Liu, Hualu 36 2015 Type II codes over \(\mathbb F_4\). Zbl 1009.94012Gaborit, Philippe; Pless, Vera; Solé, Patrick; Atkin, Oliver 35 2002 Two classes of permutation polynomials having the form \((x^{2^m}+x+\delta)^s+x\). Zbl 1320.11120Tu, Ziran; Zeng, Xiangyong; Jiang, Yupeng 35 2015 Constacyclic codes of length \(2p^{s}\) over \(\mathbb{F}_{p^m} + u \mathbb{F}_{p^m}\). Zbl 1338.94103Chen, Bocong; Dinh, Hai Q.; Liu, Hongwei; Wang, Liqi 35 2016 Galois LCD codes over finite fields. Zbl 1392.94960Liu, Xiusheng; Fan, Yun; Liu, Hualu 34 2018 A triple-error-correcting cyclic code from the Gold and Kasami-Welch APN power functions. Zbl 1246.94053Zeng, Xiangyong; Shan, Jinyong; Hu, Lei 34 2012 New entanglement-assisted quantum codes from \(k\)-Galois dual codes. Zbl 1404.94138Liu, Xiusheng; Yu, Long; Hu, Peng 34 2019 Minimal cyclic codes of length \(2p^n\). Zbl 1098.94639Arora, Suresh Kumar; Pruthi, Manju 34 1999 Cyclic codes over \(\text{GR}(p^2,m)\) of length \(p^k\). Zbl 1175.94124Kiah, Han Mao; Leung, Ka Hin; Ling, San 33 2008 On the subset sum problem over finite fields. Zbl 1189.11058Li, Jiyou; Wan, Daqing 33 2008 Sums of Betti numbers in arbitrary characteristic. Zbl 1068.14501Katz, Nicholas M. 32 2001 Minimal cyclic codes of length \(p^{n} q\). Zbl 1038.94013Bakshi, Gurmeet K.; Raka, Madhu 32 2003 Algebraic methods for parameterized codes and invariants of vanishing ideals over finite fields. Zbl 1209.13037Rentería-Márquez, Carlos; Simis, Aron; Villarreal, Rafael H. 32 2011 A class of new permutation trinomials. Zbl 1380.05002Tu, Ziran; Zeng, Xiangyong; Li, Chunlei; Helleseth, Tor 32 2018 Linear codes over \(\mathbb Z_4+u\mathbb Z_4\): MacWilliams identities, projections, and formally self-dual codes. Zbl 1292.94179Yildiz, Bahattin; Karadeniz, Suat 32 2014 The multiple-recursive matrix method for pseudorandom number generation. Zbl 0823.11041Niederreiter, Harald 32 1995 On codes from norm-trace curves. Zbl 1032.94015Geil, Olav 31 2003 Experimental constructions of self-dual codes. Zbl 1031.94016Gaborit, Philippe; Otmani, Ayoub 31 2003 New maximum scattered linear sets of the projective line. Zbl 1401.51007Csajbók, Bence; Marino, Giuseppe; Zullo, Ferdinando 31 2018 Negacyclic codes of length \(2p^s\) over \(\mathbb{F}_{p^m} + u \mathbb{F}_{p^m}\). Zbl 1320.94099Dinh, Hai Quang; Wang, Liqi; Zhu, Shixin 31 2015 Curves with many points and multiplication complexity in any extension of \(\mathbb{F}_q\). Zbl 0953.11022Ballet, Stéphane 29 1999 Power sums with applications to multizeta and zeta zero distribution for \(\mathbb F_q[t]\). Zbl 1228.11139Thakur, Dinesh S. 29 2009 The construction of Cameron-Liebler line classes in \(PG(3,q)\). Zbl 0927.51012Bruen, A. A.; Drudge, Keldon 29 1999 On the structure of order domains. Zbl 1008.13007Geil, Olav; Pellikaan, Ruud 28 2002 On modular cyclic codes. Zbl 1130.94333Dougherty, Steven T.; Park, Young Ho 28 2007 Constructions of optimal LCD codes over large finite fields. Zbl 1436.94115Sok, Lin; Shi, Minjia; Solé, Patrick 28 2018 Cyclotomy and permutation polynomials of large indices. Zbl 1331.11107Wang, Qiang 28 2013 Two classes of two-weight linear codes. Zbl 1338.94100Heng, Ziling; Yue, Qin 28 2016 The dimension and minimum distance of two classes of primitive BCH codes. Zbl 1402.94100Ding, Cunsheng; Fan, Cuiling; Zhou, Zhengchun 27 2017 On quasi-twisted codes over finite fields. Zbl 1248.94116Jia, Yan 26 2012 Transformations of well-poised hypergeometric functions over finite fields. Zbl 1276.11198McCarthy, Dermot 26 2012 Repeated-root constacyclic codes of length \(2 \ell^m p^n\). Zbl 1368.11133Chen, Bocong; Dinh, Hai Q.; Liu, Hongwei 26 2015 A construction of linear codes and their complete weight enumerators. Zbl 1403.94115Yang, Shudi; Kong, Xiangli; Tang, Chunming 26 2017 On a conjecture about a class of permutation trinomials. Zbl 1404.11133Bartoli, Daniele 26 2018 On three weights in cyclic codes with two zeros. Zbl 1119.94016McGuire, Gary 25 2004 Constructions of \((t,m,s)\)-nets and \((t,s)\)-sequences. Zbl 1087.11051Niederreiter, Harald 25 2005 On the equation \(x^{2^l+1}+x+a=0\) over \(\mathrm{GF}(2^k)\). Zbl 1130.11072Helleseth, Tor; Kholosha, Alexander 25 2008 Permutation and complete permutation polynomials. Zbl 1368.11126Bassalygo, L. A.; Zinoviev, V. A. 25 2015 Supercongruences involving products of two binomial coefficients. Zbl 1331.11012Sun, Zhi-Wei 25 2013 A note on complete polynomials over finite fields and their applications in cryptography. Zbl 1302.11096Muratović-Ribić, Amela; Pasalic, Enes 25 2014 Constructions of near MDS codes which are optimal locally recoverable codes. Zbl 07680306Li, Xiaoru; Heng, Ziling 4 2023 Investigations of \(c\)-differential uniformity of permutations with Carlitz rank 3. Zbl 1506.94049Jeong, Jaeseong; Koo, Namhun; Kwon, Soonhak 2 2023 Non-standard linear recurring sequence subgroups in finite fields and automorphisms of cyclic codes. I. Zbl 1508.94090Hollmann, Henk D. L. 2 2023 Completely characterizing a class of permutation quadrinomials. Zbl 07661806Kim, Kwang Ho; Mesnager, Sihem; Kim, Chung Hyok; Jo, Myong Chol 2 2023 Stabilizer quantum codes defined by trace-depending polynomials. Zbl 1515.81079Galindo, Carlos; Hernando, Fernando; Martín-Cruz, Helena; Ruano, Diego 1 2023 Super-regular Steiner 2-designs. Zbl 1506.05031Buratti, Marco; Nakić, Anamari 1 2023 On the proportion of locally soluble superelliptic curves. Zbl 07624058Beneish, Lea; Keyes, Christopher 1 2023 Hulls of double cyclic codes. Zbl 07680311Gao, Jian; Wu, Tian; Fu, Fang-Wei 1 2023 Constructions of cyclic codes and extended primitive cyclic codes with their applications. Zbl 1516.94063Heng, Ziling; Wang, Xinran; Li, Xiaoru 1 2023 Sum-rank product codes and bounds on the minimum distance. Zbl 1496.94090Alfarano, Gianira N.; Lobillo, F. J.; Neri, Alessandro; Wachter-Zeh, Antonia 5 2022 Investigating the exceptionality of scattered polynomials. Zbl 1480.11153Bartoli, Daniele; Zini, Giovanni; Zullo, Ferdinando 4 2022 On pencils of cubics on the projective line over finite fields of characteristic \(>3\). Zbl 1492.14096Günay, Gülizar; Lavrauw, Michel 4 2022 More classes of permutation quadrinomials from Niho exponents in characteristic two. Zbl 1487.05017Zheng, Lijing; Liu, Baixiang; Kan, Haibin; Peng, Jie; Tang, Deng 4 2022 On intersection density of transitive groups of degree a product of two odd primes. Zbl 1514.20016Hujdurović, Ademir; Kutnar, Klavdija; Kuzma, Bojan; Marušič, Dragan; Miklavič, Štefko; Orel, Marko 4 2022 On incidence bounds with Möbius hyperbolae in positive characteristic. Zbl 1485.51007Rudnev, Misha; Wheeler, James 4 2022 Classification of fractional projective permutations over finite fields. Zbl 07523455Göloğlu, Faruk 4 2022 On the clique number of Paley graphs of prime power order. Zbl 1495.11022Yip, Chi Hoi 3 2022 Splitting subspaces of linear operators over finite fields. Zbl 1484.11225Aggarwal, Divya; Ram, Samrith 3 2022 A class of almost MDS codes. Zbl 1492.94201Geng, Xiaojun; Yang, Meng; Zhang, Jun; Zhou, Zhengchun 3 2022 Some sum-product estimates in matrix rings over finite fields. Zbl 1485.11055Xie, Chengfei; Ge, Gennian 3 2022 A further study of quadratic APN permutations in dimension nine. Zbl 1492.94238Beierle, Christof; Carlet, Claude; Leander, Gregor; Perrin, Léo 3 2022 New differentially 4-uniform permutations from modifications of the inverse function. Zbl 1479.94195Jeong, Jaeseong; Koo, Namhun; Kwon, Soonhak 2 2022 Primitive idempotents in central simple algebras over \(\mathbb{F}_q(t)\) with an application to coding theory. Zbl 1494.16015Gómez-Torrecillas, J.; Kutas, P.; Lobillo, F. J.; Navarro, G. 2 2022 Explicit equations for maximal curves as subcovers of the \(BM\) curve. Zbl 1475.11126Mendoza, Erik A. R.; Quoos, Luciane 2 2022 Frames over finite fields: basic theory and equiangular lines in unitary geometry. Zbl 1483.42019Greaves, Gary R. W.; Iverson, Joseph W.; Jasper, John; Mixon, Dustin G. 2 2022 Primitive normal pairs with prescribed norm and trace. Zbl 1484.11226Sharma, Avnish K.; Rani, Mamta; Tiwari, Sharwan K. 2 2022 A class of linear sets in \(\mathrm{PG} (1,q^5)\). Zbl 1482.51004Montanucci, Maria; Zanella, Corrado 2 2022 Polynomial matrices, splitting subspaces and Krylov subspaces over finite fields. Zbl 1496.15021Aggarwal, Divya; Ram, Samrith 2 2022 New Galois hulls of generalized Reed-Solomon codes. Zbl 1508.94076Wu, Yansheng; Li, Chengju; Yang, Shangdong 2 2022 Coset-wise affine functions and cycle types of complete mappings. Zbl 1493.12006Bors, Alexander; Wang, Qiang 2 2022 On the constructions of \(\mathbb{Z}_p \mathbb{Z}_{p^2}\)-linear generalized Hadamard codes. Zbl 1508.94108Bhunia, Dipak K.; Fernández-Córdoba, Cristina; Villanueva, Mercè 2 2022 The \(m\)-ovoids of \(\mathcal{W}(5, 2)\) and their generalizations. Zbl 1498.51008Ceria, Michela; Pavese, Francesco 2 2022 On the differential properties of the power mapping \(x^{p^m + 2}\). Zbl 1498.94074Man, Yuying; Xia, Yongbo; Li, Chunlei; Helleseth, Tor 2 2022 A new identity of Dickson polynomials. Zbl 07505587Bluher, Antonia W. 2 2022 Counting irreducible polynomials with prescribed coefficients over a finite field. Zbl 1497.11285Gao, Zhicheng; Kuttner, Simon; Wang, Qiang 2 2022 On \(r\)-primitive \(k\)-normal elements over finite fields. Zbl 1497.11291Rani, Mamta; Sharma, Avnish K.; Tiwari, Sharwan K. 2 2022 The probability of spanning a classical space by two non-degenerate subspaces of complementary dimensions. Zbl 1491.51017Glasby, S. P.; Niemeyer, Alice C.; Praeger, Cheryl E. 2 2022 Pure Gauss sums and skew Hadamard difference sets. Zbl 1475.11215Momihara, Koji 1 2022 A formula on the weight distribution of linear codes with applications to AMDS codes. Zbl 1501.94094Meneghetti, Alessio; Pellegrini, Marco; Sala, Massimiliano 1 2022 A Bertini type theorem for pencils over finite fields. Zbl 1478.14068Asgarli, Shamil; Ghioca, Dragos 1 2022 Genus fields of Kummer extensions of rational function fields. Zbl 1509.11110Rzedowski-Calderón, Martha; Villa-Salvador, Gabriel 1 2022 On a generalization of Jacobi sums. Zbl 1475.11216Rojas-León, Antonio 1 2022 On the constructions of MDS self-dual codes via cyclotomy. Zbl 1486.94188Zhang, Aixian; Feng, Keqin 1 2022 On sums and products of combinatorial cubes. Zbl 1487.11011Shkredov, I. D. 1 2022 \(p\)-adic valuations associated to fibers and images of polynomial functions. Zbl 1487.11110Cao, Wei 1 2022 Constructing differentially 4-uniform involutions over \(\mathbb{F}_{2^{2k}}\) by using Carlitz form. Zbl 1481.94108Jeong, Jaeseong; Koo, Namhun; Kwon, Soonhak 1 2022 Self-orthogonal quasi-abelian codes are asymptotically good. Zbl 1487.94173Zhang, Guanghui; Chen, Bocong 1 2022 Simplified isogeny formulas on twisted Jacobi quartic curves. Zbl 1487.14078Hu, Zhi; Liu, Zhe; Wang, Lin; Zhou, Zijian 1 2022 Character sums over affine spaces and applications. Zbl 1508.11115Reis, Lucas 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 1497.11288Kim, Kwang Ho; Mesnager, Sihem 1 2022 Additive cyclic complementary dual codes over \(\mathbb{F}_4\). Zbl 1508.94101Shi, Minjia; Liu, Na; Özbudak, Ferruh; Solé, Patrick 1 2022 Constructions of projective linear codes by the intersection and difference of sets. Zbl 1508.94069Heng, Ziling; Chen, Fuling; Xie, Chunlei; Li, Dexiang 1 2022 Primitive elements with prescribed traces. Zbl 07600469Booker, Andrew R.; Cohen, Stephen D.; Leong, Nicol; Trudgian, Tim 1 2022 Low-lying zeros in families of elliptic curve \(L\)-functions over function fields. Zbl 1511.11063Meisner, Patrick; Södergren, Anders 1 2022 Constructions of optimal Hermitian self-dual codes from unitary matrices. Zbl 1493.94057Sok, Lin; Yang, Chong 1 2022 The additive index of polynomials over finite fields. Zbl 1486.12003Reis, Lucas; Wang, Qiang 1 2022 Permutation binomials of the form \(x^r (x^{q-1} +a)\) over \(\mathbb{F}_{q^e}\). Zbl 07483339Masuda, Ariane M.; Rubio, Ivelisse M.; Santiago, Javier 1 2022 Two-point AG codes from the Beelen-Montanucci maximal curve. Zbl 1483.11126Landi, Leonardo; Vicino, Lara 1 2022 Flag codes of maximum distance and constructions using Singer groups. Zbl 1505.94124Navarro-Pérez, Miguel Ángel; Soler-Escrivà, Xaro 1 2022 On the Newton polygons of twisted \(L\)-functions of binomials. Zbl 1495.11097Zhang, Shenxing 1 2022 A modular equality for Cameron-Liebler line classes in projective and affine spaces of odd dimension. Zbl 1490.51006De Beule, J.; Mannaert, J. 1 2022 Energy bounds, bilinear forms and their applications in function fields. Zbl 1511.11099Bagshaw, Christian; Shparlinski, Igor E. 1 2022 On monomial generalized almost perfect nonlinear functions. Zbl 1505.94067Bartoli, Daniele; Giulietti, Massimo; Peraro, Gaia; Zini, Giovanni 1 2022 Cyclotomic matrices and hypergeometric functions over finite fields. Zbl 1505.11048Wu, Hai-Liang; She, Yue-Feng; Wang, Li-Yuan 1 2022 More results on hulls of some primitive binary and ternary BCH codes. Zbl 1501.94108Lei, Yinzhao; Li, Chengju; Wu, Yansheng; Zeng, Peng 1 2022 On the boomerang uniformity of permutations of low Carlitz rank. Zbl 1487.94122Jeong, Jaeseong; Koo, Namhun; Kwon, Soonhak 1 2022 Extending two families of maximum rank distance codes. 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Zbl 1469.11177Onuki, Hiroshi 5 2021 On trinomials of type \(X^{n+m}(1+AX^{m(q -1)}+BX^{n(q -1)})\), \(n,m\) odd, over \(\mathbb{F}_{q^2}\), \(q=2^{2s+1}\). Zbl 1484.11214Bartoli, Daniele; Timpanella, Marco 4 2021 On the constructions of \(n\)-cycle permutations. Zbl 1468.11234Chen, Yuting; Wang, Liqi; Zhu, Shixin 4 2021 On enumeration of irreducible polynomials and related objects over a finite field with respect to their trace and norm. Zbl 1500.11087Gao, Zhicheng; Kuttner, Simon; Wang, Qiang 4 2021 Complete solution over \(\mathbb{F}_{p^n}\) of the equation \(X^{p^k+1}+X+a=0\). Zbl 1505.12002Kim, Kwang Ho; Choe, Jong Hyok; Mesnager, Sihem 4 2021 On diagonal equations over finite fields. Zbl 1493.11153Oliveira, José Alves 4 2021 On a classification of the automorphism groups of polarized abelian surfaces over finite fields. Zbl 1470.11161Hwang, WonTae 3 2021 New Wilson-like theorems arising from Dickson polynomials. 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Zbl 1468.11010Wu, Hai-Liang; She, Yue-Feng 2 2021 ...and 1424 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 4,458 Authors 70 Dinh, Hai Quang 68 Zhu, Shixin 63 Shparlinski, Igor E. 61 Bartoli, Daniele 60 Cao, Xiwang 60 Özbudak, Ferruh 59 Yue, Qin 59 Zeng, Xiangyong 58 Solé, Patrick 56 Fu, Fangwei 51 Wang, Qiang (Steven) 49 Hou, Xiang-Dong 46 Shi, Minjia 39 Dougherty, Steven T. 39 Helleseth, Tor 38 Mesnager, Sihem 38 Winterhof, Arne 37 Hu, Lei 36 Cao, Yonglin 36 Carlet, Claude 36 Harada, Masaaki 35 Storme, Leo 34 Xiang, Qing 32 Yildiz, Bahattin 31 Ding, Cunsheng 31 Li, Nian 30 Gao, Jian 30 Niederreiter, Harald 30 Qu, Longjiang 30 Tang, Chunming 29 Cao, Yuan 29 Kaya, Abidin 29 Lee, Yoonjin 29 Li, Chengju 29 Marino, Giuseppe 29 Maruta, Tatsuya 27 Reis, Lucas 27 Villarreal, Rafael Heraclio 26 Momihara, Koji 26 Montanucci, Maria 26 Polverino, Olga 26 Sriboonchitta, Songsak 26 Zini, Giovanni 25 Feng, Tao 25 Lavrauw, Michel 25 Liu, Xiusheng 25 Panario, Daniel 25 Zullo, Ferdinando 24 Beelen, Pieter Hendrik Turdus 24 Giulietti, Massimo 24 Jitman, Somphong 24 Marcugini, Stefano 24 Meidl, Wilfried 24 Pambianco, Fernanda 24 Sharma, Anuradha 23 Geil, Olav 23 Gulliver, Thomas Aaron 23 Kai, Xiaoshan 23 Li, Ruihu 23 Liu, Hongwei 23 Pavese, Francesco 23 Wang, Kaishun 22 Cossidente, Antonio 22 Dick, Josef 22 Guo, Jun 22 McGuire, Gary 21 Ballet, Stéphane 21 Cohen, Stephen D. 21 Wan, Daqing 21 Yan, Haode 21 Zha, Zhengbang 21 Zhou, Yue 20 Feng, Keqin 20 Kim, Jon-Lark 20 Kyureghyan, Gohar M. 20 Li, Chunlei 20 Qi, Wenfeng 20 Sheekey, John 20 Stănică, Pantelimon 20 Vega, Gerardo 20 Wang, Xiaoqiang 20 Wu, Yansheng 20 Yang, Shudi 19 Calderini, Marco 19 Gildea, Joe 19 Korban, Adrian 19 Ling, San 19 Pott, Alexander 19 Szőnyi, Tamás 19 Xu, Guangkui 19 Zheng, Dabin 19 Zhou, Zhengchun 18 Chen, Zhixiong 18 De Bruyn, Bart 18 Güneri, Cem 18 Heng, Ziling 18 Van de Voorde, Geertrui 18 Yan, Tongjiang 17 Bhaintwal, Maheshanand 17 Budaghyan, Lilya ...and 4,358 more Authors all top 5 Cited in 397 Journals 1,108 Finite Fields and their Applications 575 Designs, Codes and Cryptography 308 Discrete Mathematics 262 Cryptography and Communications 172 Journal of Number Theory 151 Advances in Mathematics of Communications 139 Applicable Algebra in Engineering, Communication and Computing 111 Journal of Combinatorial Theory. 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New Series 9 Archiv der Mathematik 9 Discrete & Computational Geometry 9 Experimental Mathematics 9 Mathematical Problems in Engineering 9 Integers 8 Journal of Computational and Applied Mathematics 8 Journal of the Korean Mathematical Society 8 Annals of Combinatorics 7 Applied Mathematics and Computation 7 Compositio Mathematica 7 Duke Mathematical Journal 7 Functiones et Approximatio. Commentarii Mathematici 7 Geometriae Dedicata 7 Advances in Applied Mathematics 7 Forum Mathematicum 7 International Journal of Algebra and Computation 7 Discrete Mathematics and Applications 7 Filomat 7 LMS Journal of Computation and Mathematics 7 Journal of the Australian Mathematical Society 7 São Paulo Journal of Mathematical Sciences 6 American Mathematical Monthly 6 Glasgow Mathematical Journal ...and 297 more Journals all top 5 Cited in 56 Fields 3,156 Number theory (11-XX) 2,704 Information and communication theory, circuits (94-XX) 945 Combinatorics (05-XX) 787 Algebraic geometry (14-XX) 549 Geometry (51-XX) 402 Field theory and polynomials (12-XX) 282 Group theory and generalizations (20-XX) 233 Commutative algebra (13-XX) 180 Quantum theory (81-XX) 151 Associative rings and algebras (16-XX) 145 Computer science (68-XX) 136 Linear and multilinear algebra; matrix theory (15-XX) 131 Numerical analysis (65-XX) 117 Order, lattices, ordered algebraic structures (06-XX) 89 Special functions (33-XX) 60 Dynamical systems and ergodic theory (37-XX) 54 Convex and discrete geometry (52-XX) 28 Harmonic analysis on Euclidean spaces (42-XX) 24 Nonassociative rings and algebras (17-XX) 18 Ordinary differential equations (34-XX) 18 Probability theory and stochastic processes (60-XX) 17 Functional analysis (46-XX) 14 Statistics (62-XX) 11 Mathematical logic and foundations (03-XX) 11 Measure and integration (28-XX) 10 Functions of a complex variable (30-XX) 10 Abstract harmonic analysis (43-XX) 9 History and biography (01-XX) 9 Topological groups, Lie groups (22-XX) 9 Real functions (26-XX) 9 Approximations and expansions (41-XX) 8 Several complex variables and analytic spaces (32-XX) 8 Operations research, mathematical programming (90-XX) 8 Biology and other natural sciences (92-XX) 7 Manifolds and cell complexes (57-XX) 7 Systems theory; control (93-XX) 6 General and overarching topics; collections (00-XX) 5 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 4 Category theory; homological algebra (18-XX) 4 Operator theory (47-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 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 Sequences, series, summability (40-XX) 1 Integral equations (45-XX) 1 Algebraic topology (55-XX) 1 Global analysis, analysis on manifolds (58-XX) Citations by Year