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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

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
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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; matrix theory (15-XX)
41 Associative rings and algebras (16-XX)
37 Computer science (68-XX)
24 Numerical analysis (65-XX)
21 Order, lattices, ordered algebraic structures (06-XX)
21 Convex and discrete geometry (52-XX)
17 Special functions (33-XX)
17 Dynamical systems and ergodic theory (37-XX)
15 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 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

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
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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
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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. Series A
86 Linear Algebra and its Applications
81 Quantum Information Processing
77 Discrete Applied Mathematics
70 Journal of Applied Mathematics and Computing
65 Journal of Algebraic Combinatorics
65 Journal of Algebra and its Applications
65 International Journal of Number Theory
63 Journal of Algebra
63 Journal of Pure and Applied Algebra
48 European Journal of Combinatorics
47 Mathematics of Computation
45 Journal of Complexity
44 Communications in Algebra
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44 Journal of Symbolic Computation
43 Journal of Combinatorial Designs
38 The Electronic Journal of Combinatorics
35 Discrete Mathematics, Algorithms and Applications
33 Journal of Geometry
32 Bulletin of the Australian Mathematical Society
30 Acta Arithmetica
30 Science China. Mathematics
27 International Journal of Theoretical Physics
27 SIAM Journal on Discrete Mathematics
26 Journal de Théorie des Nombres de Bordeaux
25 Linear and Multilinear Algebra
25 The Ramanujan Journal
24 Matematicheskie Voprosy Kriptografii
23 Asian-European Journal of Mathematics
22 Israel Journal of Mathematics
22 Transactions of the American Mathematical Society
22 International Journal of Foundations of Computer Science
22 Computational and Applied Mathematics
22 Journal of Algebra, Combinatorics, Discrete Structures and Applications
21 Problems of Information Transmission
20 Monatshefte für Mathematik
20 Turkish Journal of Mathematics
20 Advances in Geometry
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19 Research in Number Theory
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18 AIMS Mathematics
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14 Comptes Rendus. Mathématique. Académie des Sciences, Paris
13 International Journal of Computer Mathematics
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13 Bulletin of the Malaysian Mathematical Sciences Society. Second Series
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13 Prikladnaya Diskretnaya Matematika
12 Archiv der Mathematik
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10 Integers
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9 Mathematical Problems in Engineering
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8 Duke Mathematical Journal
8 Journal of Computational and Applied Mathematics
8 Advances in Applied Mathematics
8 Forum Mathematicum
8 International Journal of Algebra and Computation
8 The Australasian Journal of Combinatorics
8 Annals of Combinatorics
8 Mathematics in Computer Science
7 Applied Mathematics and Computation
7 Compositio Mathematica
7 Functiones et Approximatio. Commentarii Mathematici
7 Geometriae Dedicata
7 Journal of Cryptology
7 Discrete Mathematics and Applications
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