×

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: 1,985 Publications (since 1995)
References Indexed: 1,880 Publications with 34,321 References.
all top 5

Authors

27 Zeng, Xiangyong
26 Özbudak, Ferruh
23 Bartoli, Daniele
23 Shparlinski, Igor E.
23 Wang, Qiang (Steven)
22 Hou, Xiang-Dong
22 Niederreiter, Harald
21 Ding, Cunsheng
17 Cao, Xiwang
17 Helleseth, Tor
17 Qi, Wenfeng
17 Yue, Qin
16 Hu, Lei
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 Liu, Hongwei
13 Shi, Minjia
13 Yuan, Pingzhi
12 Beelen, Pieter Hendrik Turdus
12 Li, Nian
11 Brochero Martínez, Fabio Enrique
11 Dougherty, Steven T.
11 Ling, San
11 Maruta, Tatsuya
11 Qu, Longjiang
11 Stichtenoth, Henning
11 Winterhof, Arne
11 Zha, Zhengbang
11 Zhu, Shixin
10 Fitzgerald, Robert W.
10 Guo, Jun
10 Katz, Nicholas Michael
10 Lavrauw, Michel
10 Li, Chengju
10 Sala, Massimiliano
10 Tu, Ziran
9 Bakshi, Gurmeet K.
9 Cao, Yonglin
9 Chen, Bocong
9 Coulter, Robert S.
9 Fan, Shuqin
9 Giulietti, Massimo
9 Mesnager, Sihem
9 Montanucci, Maria
9 Rúa, Ignacio Fernández
9 Sharma, Anuradha
8 Ahmadi, Omran
8 Bluher, Antonia Wilson
8 Feng, Keqin
8 Heng, Ziling
8 Homma, Masaaki
8 Kim, Seon Jeong
8 Li, Chunlei
8 Martínez-Moro, Edgar
8 Meemark, Yotsanan
8 Meidl, Wilfried
8 Momihara, Koji
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 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 Liao, Qunying
7 Moisio, Marko J.
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
6 Borges, Herivelto
6 Cao, Wei
6 Carlet, Claude
6 Carvalho, Cícero F.
6 Charpin, Pascale
6 Cossidente, Antonio
6 Evans, Ronald J.
6 Feng, Rongquan
...and 1,912 more Authors
all top 5

Fields

1,390 Number theory (11-XX)
758 Information and communication theory, circuits (94-XX)
335 Algebraic geometry (14-XX)
294 Combinatorics (05-XX)
191 Field theory and polynomials (12-XX)
186 Geometry (51-XX)
91 Group theory and generalizations (20-XX)
80 Commutative algebra (13-XX)
64 Linear and multilinear algebra; matrix theory (15-XX)
40 Associative rings and algebras (16-XX)
36 Computer science (68-XX)
24 Numerical analysis (65-XX)
21 Order, lattices, ordered algebraic structures (06-XX)
20 Convex and discrete geometry (52-XX)
17 Special functions (33-XX)
17 Dynamical systems and ergodic theory (37-XX)
14 Quantum theory (81-XX)
7 Measure and integration (28-XX)
6 History and biography (01-XX)
5 Harmonic analysis on Euclidean spaces (42-XX)
4 Nonassociative rings and algebras (17-XX)
4 Probability theory and stochastic processes (60-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

1,557 Publications have been cited 13,223 times in 6,000 Documents Cited by Year
Permutation polynomials over finite fields – a survey of recent advances. Zbl 1325.11128
Hou, Xiang-dong
116
2015
On constructing permutations of finite fields. Zbl 1281.11102
Akbary, Amir; Ghioca, Dragos; Wang, Qiang
92
2011
A class of three-weight cyclic codes. Zbl 1305.94112
Zhou, Zhengchun; Ding, Cunsheng
91
2014
New cyclic difference sets with Singer parameters. Zbl 1043.05024
Dillon, J. F.; Dobbertin, Hans
91
2004
Permutation polynomials and applications to coding theory. Zbl 1107.11048
Laigle-Chapuy, Yann
86
2007
Constructing new APN functions from known ones. Zbl 1184.94228
Budaghyan, Lilya; Carlet, Claude; Leander, Gregor
85
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
73
2010
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
71
2014
On the classification and enumeration of self-dual codes. Zbl 1087.94023
Huffman, W. Cary
70
2005
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
Low-discrepancy sequences and global function fields with many rational places. Zbl 0893.11029
Niederreiter, Harald; Xing, Chaoping
58
1996
New classes of permutation binomials and permutation trinomials over finite fields. Zbl 1351.11078
Li, Kangquan; Qu, Longjiang; Chen, Xi
58
2017
Constacyclic codes over finite fields. Zbl 1272.94089
Chen, Bocong; Fan, Yun; Lin, Liren; Liu, Hongwei
57
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
56
2016
New generalized cyclotomy and its applications. Zbl 0908.11058
Ding, Cunsheng; Helleseth, Tor
54
1998
A highly nonlinear differentially 4 uniform power mapping that permutes fields of even degree. Zbl 1194.94182
Bracken, Carl; Leander, Gregor
54
2010
On \(x^{q+1}+ax+b\). Zbl 1137.12300
Bluher, Antonia W.
54
2004
Some new classes of permutation trinomials over finite fields with even characteristic. Zbl 1372.11108
Gupta, Rohit; Sharma, R. K.
53
2016
Linearized polynomials over finite fields revisited. Zbl 1345.11084
Wu, Baofeng; Liu, Zhuojun
53
2013
Several classes of complete permutation polynomials. Zbl 1284.05012
Tu, Ziran; Zeng, Xiangyong; Hu, Lei
53
2014
New families of quadratic almost perfect nonlinear trinomials and multinomials. Zbl 1153.11058
Bracken, Carl; Byrne, Eimear; Markin, Nadya; McGuire, Gary
53
2008
Permutation polynomials over finite fields from a powerful lemma. Zbl 1258.11100
Yuan, Pingzhi; Ding, Cunsheng
52
2011
Codes over \(R_k\), Gray maps and their binary images. Zbl 1213.94173
Dougherty, Steven T.; Yildiz, Bahattin; Karadeniz, Suat
52
2011
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
Improved explicit estimates on the number of solutions of equations over a finite field. Zbl 1163.11329
Cafure, Antonio; Matera, Guillermo
50
2006
Determination of a type of permutation trinomials over finite fields. II. Zbl 1343.11093
Hou, Xiang-Dong
50
2015
A new class of monomial bent functions. Zbl 1162.94004
Canteaut, Anne; Charpin, Pascale; Kyureghyan, Gohar M.
49
2008
Linear complexity of generalized cyclotomic binary sequences of order 2. Zbl 0908.11062
Ding, Cunsheng
46
1997
Idempotents in group algebras and minimal abelian codes. Zbl 1176.94075
Ferraz, Raul Antonio; Polcino Milies, César
45
2007
A proof of the Welch and Niho conjectures on cross-correlations of binary \(m\)-sequences. Zbl 1027.94006
Hollmann, Henk D. L.; Xiang, Qing
45
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
Binomial differentially 4 uniform permutations with high nonlinearity. Zbl 1267.94043
Bracken, Carl; Tan, Chik How; Tan, Yin
45
2012
Perfect nonlinear binomials and their semifields. Zbl 1194.12003
Zha, Zhengbang; Kyureghyan, Gohar M.; Wang, Xueli
44
2009
Minimal linear codes over finite fields. Zbl 1401.94262
Heng, Ziling; Ding, Cunsheng; Zhou, Zhengchun
44
2018
Two classes of permutation polynomials over finite fields. Zbl 1288.11111
Zha, Zhengbang; Hu, Lei
44
2012
A class of constacyclic codes over a finite field. Zbl 1250.94067
Bakshi, Gurmeet K.; Raka, Madhu
44
2012
Cyclic self-dual \(\mathbb Z_4\)-codes. Zbl 1053.94573
Pless, Vera; Solé, Patrick; Qian, Zhongqiang
43
1997
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
43
2018
Further results on permutation polynomials over finite fields. Zbl 1297.11148
Yuan, Pingzhi; Ding, Cunsheng
43
2014
Minimal codes of prime-power length. Zbl 1053.94574
Pruthi, Manju; Arora, Suresh Kumar
42
1997
When does \(G(x)+\gamma \, \text{Tr}(H(x))\) permute \(\mathbb F_{p^n}\)? Zbl 1229.11153
Charpin, Pascale; Kyureghyan, Gohar
42
2009
The weight distributions of a class of cyclic codes. Zbl 1271.94034
Xiong, Maosheng
42
2012
Quasi-twisted codes with constacyclic constituent codes. Zbl 1339.94090
Shi, Minjia; Zhang, Yiping
42
2016
Combinatorial designs and the theorem of Weil on multiplicative character sums. Zbl 1211.05022
Buratti, Marco; Pasotti, Anita
42
2009
Further results on permutation trinomials over finite fields with even characteristic. Zbl 1362.05006
Zha, Zhengbang; Hu, Lei; Fan, Shuqin
41
2017
LCD codes over finite chain rings. Zbl 1392.94931
Liu, Xiusheng; Liu, Hualu
40
2015
New Kloosterman sums identities over \(\mathbb F_{2^m}\) for all \(m\). Zbl 1081.11077
Helleseth, Tor; Zinoviev, Victor
40
2003
All two-weight irreducible cyclic codes? Zbl 1023.94016
Schmidt, Bernhard; White, Clinton
40
2002
Blocking sets in Desarguesian affine and projective planes. Zbl 0912.51004
Szőnyi, Tamás
39
1997
Further results on a class of permutation polynomials over finite fields. Zbl 1285.05004
Li, Nian; Helleseth, Tor; Tang, Xiaohu
39
2013
On complementary-dual quasi-cyclic codes. Zbl 1165.94009
Esmaeili, M.; Yari, S.
39
2009
Galois LCD codes over finite fields. Zbl 1392.94960
Liu, Xiusheng; Fan, Yun; Liu, Hualu
38
2018
New entanglement-assisted quantum codes from \(k\)-Galois dual codes. Zbl 1404.94138
Liu, Xiusheng; Yu, Long; Hu, Peng
38
2019
Constructing new differentially 4-uniform permutations from the inverse function. Zbl 1305.94084
Zha, Zhengbang; Hu, Lei; Sun, Siwei
38
2014
Four classes of permutation polynomials of \(\mathbb F_{2^m}\). Zbl 1167.11045
Yuan, Jin; Ding, Cunsheng
38
2007
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
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
37
2016
Negacyclic duadic codes. Zbl 1183.94058
Blackford, Thomas
37
2008
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
On constacyclic codes over finite chain rings. Zbl 1305.94097
Cao, Yonglin
37
2013
Reversed Dickson polynomials over finite fields. Zbl 1228.11174
Hou, Xiang-Dong; Mullen, Gary L.; Sellers, James A.; Yucas, Joseph L.
36
2009
Type II codes over \(\mathbb F_4\). Zbl 1009.94012
Gaborit, Philippe; Pless, Vera; Solé, Patrick; Atkin, Oliver
36
2002
New maximum scattered linear sets of the projective line. Zbl 1401.51007
Csajbók, Bence; Marino, Giuseppe; Zullo, Ferdinando
35
2018
Minimal cyclic codes of length \(2p^n\). Zbl 1098.94639
Arora, Suresh Kumar; Pruthi, Manju
34
1999
On the subset sum problem over finite fields. Zbl 1189.11058
Li, Jiyou; Wan, Daqing
34
2008
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
A triple-error-correcting cyclic code from the Gold and Kasami-Welch APN power functions. Zbl 1246.94053
Zeng, Xiangyong; Shan, Jinyong; Hu, Lei
34
2012
A class of new permutation trinomials. Zbl 1380.05002
Tu, Ziran; Zeng, Xiangyong; Li, Chunlei; Helleseth, Tor
33
2018
The multiple-recursive matrix method for pseudorandom number generation. Zbl 0823.11041
Niederreiter, Harald
33
1995
Algebraic methods for parameterized codes and invariants of vanishing ideals over finite fields. Zbl 1209.13037
Rentería-Márquez, Carlos; Simis, Aron; Villarreal, Rafael H.
33
2011
Cyclic codes over \(\text{GR}(p^2,m)\) of length \(p^k\). Zbl 1175.94124
Kiah, Han Mao; Leung, Ka Hin; Ling, San
33
2008
Sums of Betti numbers in arbitrary characteristic. Zbl 1068.14501
Katz, Nicholas M.
32
2001
On codes from norm-trace curves. Zbl 1032.94015
Geil, Olav
32
2003
Experimental constructions of self-dual codes. Zbl 1031.94016
Gaborit, Philippe; Otmani, Ayoub
32
2003
Minimal cyclic codes of length \(p^{n} q\). Zbl 1038.94013
Bakshi, Gurmeet K.; Raka, Madhu
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
Two classes of two-weight linear codes. Zbl 1338.94100
Heng, Ziling; Yue, Qin
31
2016
Constructions of optimal LCD codes over large finite fields. Zbl 1436.94115
Sok, Lin; Shi, Minjia; Solé, Patrick
30
2018
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
The dimension and minimum distance of two classes of primitive BCH codes. Zbl 1402.94100
Ding, Cunsheng; Fan, Cuiling; Zhou, Zhengchun
29
2017
Transformations of well-poised hypergeometric functions over finite fields. Zbl 1276.11198
McCarthy, Dermot
29
2012
Construction of some new quantum MDS codes. Zbl 1368.81064
Shi, Xueying; Yue, Qin; Zhu, Xiaomeng
29
2017
A construction of linear codes and their complete weight enumerators. Zbl 1403.94115
Yang, Shudi; Kong, Xiangli; Tang, Chunming
28
2017
On modular cyclic codes. Zbl 1130.94333
Dougherty, Steven T.; Park, Young Ho
28
2007
On the structure of order domains. Zbl 1008.13007
Geil, Olav; Pellikaan, Ruud
28
2002
Cyclotomy and permutation polynomials of large indices. Zbl 1331.11107
Wang, Qiang
28
2013
On quasi-twisted codes over finite fields. Zbl 1248.94116
Jia, Yan
28
2012
The weight distributions of two classes of \(p\)-ary cyclic codes with few weights. Zbl 1351.94090
Yang, Shudi; Yao, Zheng-An; Zhao, Chang-An
27
2017
A note on complete polynomials over finite fields and their applications in cryptography. Zbl 1302.11096
Muratović-Ribić, Amela; Pasalic, Enes
27
2014
On the equation \(x^{2^l+1}+x+a=0\) over \(\mathrm{GF}(2^k)\). Zbl 1130.11072
Helleseth, Tor; Kholosha, Alexander
27
2008
The weight distribution of some irreducible cyclic codes. Zbl 1231.94074
Sharma, Anuradha; Bakshi, Gurmeet K.
27
2012
Repeated-root constacyclic codes of length \(2 \ell^m p^n\). Zbl 1368.11133
Chen, Bocong; Dinh, Hai Q.; Liu, Hongwei
26
2015
On a conjecture about a class of permutation trinomials. Zbl 1404.11133
Bartoli, Daniele
26
2018
Two new classes of quantum MDS codes. Zbl 1395.81095
Fang, Weijun; Fu, Fang-Wei
26
2018
Constructions of near MDS codes which are optimal locally recoverable codes. Zbl 1522.94115
Li, Xiaoru; Heng, Ziling
6
2023
Galois hulls of special Goppa codes and related codes with application to EAQECCs. Zbl 1522.94132
Liu, Jingge; Lin, Liren
3
2023
Super-regular Steiner 2-designs. Zbl 1506.05031
Buratti, Marco; Nakić, Anamari
3
2023
Completely characterizing a class of permutation quadrinomials. Zbl 1522.11124
Kim, Kwang Ho; Mesnager, Sihem; Kim, Chung Hyok; Jo, Myong Chol
2
2023
Weight distributions of generalized quasi-cyclic codes over \(\mathbb{F}_q + u \mathbb{F}_q\). Zbl 1522.94123
Gao, Jian; Meng, Xiangrui; Fu, Fang-Wei
2
2023
Hulls of double cyclic codes. Zbl 07680311
Gao, Jian; Wu, Tian; Fu, Fang-Wei
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
Constructions of cyclic codes and extended primitive cyclic codes with their applications. Zbl 1516.94063
Heng, Ziling; Wang, Xinran; Li, Xiaoru
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
Stabilizer quantum codes defined by trace-depending polynomials. Zbl 1515.81079
Galindo, Carlos; Hernando, Fernando; Martín-Cruz, Helena; Ruano, Diego
1
2023
On eigenfunctions and maximal cliques of generalised Paley graphs of square order. Zbl 1509.05116
Goryainov, Sergey; Shalaginov, Leonid; Yip, Chi Hoi
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
Linear families of smooth hypersurfaces over finitely generated fields. Zbl 1516.14096
Asgarli, Shamil; Ghioca, Dragos; Reichstein, Zinovy
1
2023
On the proportion of locally soluble superelliptic curves. Zbl 07624058
Beneish, Lea; Keyes, Christopher
1
2023
On the error-correcting pair for MDS linear codes with even minimum distance. Zbl 1518.94130
He, Boyi; Liao, Qunying
1
2023
Appell series over finite fields and modular forms. Zbl 07697560
Tripathi, Mohit
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
Five infinite families of binary cyclic codes and their related codes with good parameters. Zbl 07732857
Liu, Hai; Li, Chengju; Ding, Cunsheng
1
2023
On incidence bounds with Möbius hyperbolae in positive characteristic. Zbl 1485.51007
Rudnev, Misha; Wheeler, James
6
2022
On pencils of cubics on the projective line over finite fields of characteristic \(>3\). Zbl 1492.14096
Günay, Gülizar; Lavrauw, Michel
5
2022
Investigating the exceptionality of scattered polynomials. Zbl 1480.11153
Bartoli, Daniele; Zini, Giovanni; Zullo, Ferdinando
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
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
On the clique number of Paley graphs of prime power order. Zbl 1495.11022
Yip, Chi Hoi
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
Additive cyclic complementary dual codes over \(\mathbb{F}_4\). Zbl 1508.94101
Shi, Minjia; Liu, Na; Özbudak, Ferruh; Solé, Patrick
4
2022
Classification of fractional projective permutations over finite fields. Zbl 1522.11122
Göloğlu, Faruk
4
2022
Extending two families of maximum rank distance codes. Zbl 1500.94083
Neri, Alessandro; Santonastaso, Paolo; Zullo, Ferdinando
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.
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
A class of almost MDS codes. Zbl 1492.94201
Geng, Xiaojun; Yang, Meng; Zhang, Jun; Zhou, Zhengchun
3
2022
Some sum-product estimates in matrix rings over finite fields. Zbl 1485.11055
Xie, Chengfei; Ge, Gennian
3
2022
New Galois hulls of generalized Reed-Solomon codes. Zbl 1508.94076
Wu, Yansheng; Li, Chengju; Yang, Shangdong
3
2022
Counting irreducible polynomials with prescribed coefficients over a finite field. Zbl 1497.11285
Gao, Zhicheng; Kuttner, Simon; Wang, Qiang
3
2022
On the differential properties of the power mapping \(x^{p^m + 2}\). Zbl 1498.94074
Man, Yuying; Xia, Yongbo; Li, Chunlei; Helleseth, Tor
3
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
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
Primitive normal pairs with prescribed norm and trace. Zbl 1484.11226
Sharma, Avnish K.; Rani, Mamta; Tiwari, Sharwan K.
2
2022
New differentially 4-uniform permutations from modifications of the inverse function. Zbl 1479.94195
Jeong, 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 1494.16015
Gómez-Torrecillas, J.; Kutas, P.; Lobillo, F. J.; Navarro, G.
2
2022
A Bertini type theorem for pencils over finite fields. Zbl 1478.14068
Asgarli, Shamil; Ghioca, Dragos
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
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
Two families of optimal ternary cyclic codes with minimal distance four. Zbl 1485.94168
Zhao, Hai; Luo, Rong; Sun, Tongjun
2
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
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
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
2
2022
A new identity of Dickson polynomials. Zbl 07505587
Bluher, Antonia W.
2
2022
The \(m\)-ovoids of \(\mathcal{W}(5, 2)\) and their generalizations. Zbl 1498.51008
Ceria, Michela; Pavese, Francesco
2
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
Cyclotomic matrices and hypergeometric functions over finite fields. Zbl 1505.11048
Wu, Hai-Liang; She, Yue-Feng; Wang, Li-Yuan
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
Constructing differentially 4-uniform involutions over \(\mathbb{F}_{2^{2k}}\) by using Carlitz form. Zbl 1481.94108
Jeong, Jaeseong; Koo, Namhun; Kwon, Soonhak
1
2022
Self-orthogonal quasi-abelian codes are asymptotically good. Zbl 1487.94173
Zhang, Guanghui; Chen, Bocong
1
2022
Simplified isogeny formulas on twisted Jacobi quartic curves. Zbl 1487.14078
Hu, Zhi; Liu, Zhe; Wang, Lin; Zhou, Zijian
1
2022
Pure Gauss sums and skew Hadamard difference sets. Zbl 1475.11215
Momihara, Koji
1
2022
A formula on the weight distribution of linear codes with applications to AMDS codes. Zbl 1501.94094
Meneghetti, Alessio; Pellegrini, Marco; Sala, Massimiliano
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
\(p\)-adic valuations associated to fibers and images of polynomial functions. Zbl 1487.11110
Cao, Wei
1
2022
Constructions of optimal Hermitian self-dual codes from unitary matrices. Zbl 1493.94057
Sok, Lin; Yang, Chong
1
2022
The additive index of polynomials over finite fields. Zbl 1486.12003
Reis, Lucas; Wang, Qiang
1
2022
Permutation binomials of the form \(x^r (x^{q-1} +a)\) over \(\mathbb{F}_{q^e}\). Zbl 07483339
Masuda, Ariane M.; Rubio, Ivelisse M.; Santiago, Javier
1
2022
Character sums over affine spaces and applications. Zbl 1508.11115
Reis, Lucas
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
Exponential sums and rigid cohomology. Zbl 1496.11138
Li, Peigen
1
2022
On the boomerang uniformity of permutations of low Carlitz rank. Zbl 1487.94122
Jeong, Jaeseong; Koo, Namhun; Kwon, Soonhak
1
2022
Subconstituents of unitary Cayley graph of matrix algebras. Zbl 1486.05189
Rattanakangwanwong, Jitsupat; Meemark, Yotsanan
1
2022
Two-point AG codes from the Beelen-Montanucci maximal curve. Zbl 1483.11126
Landi, Leonardo; Vicino, Lara
1
2022
Flag codes of maximum distance and constructions using Singer groups. Zbl 1505.94124
Navarro-Pérez, Miguel Ángel; Soler-Escrivà, Xaro
1
2022
A transform approach to polycyclic and serial codes over rings. Zbl 1492.94211
Bajalan, Maryam; Martínez-Moro, Edgar; Szabo, Steve
1
2022
On the Newton polygons of twisted \(L\)-functions of binomials. Zbl 1495.11097
Zhang, Shenxing
1
2022
Primitive elements with prescribed traces. Zbl 1519.11069
Booker, Andrew R.; Cohen, Stephen D.; Leong, Nicol; Trudgian, Tim
1
2022
A note on the intersection of two distinct constacyclic codes. Zbl 1518.94140
Liu, Xiusheng; Liu, Hualu
1
2022
Low-lying zeros in families of elliptic curve \(L\)-functions over function fields. Zbl 1511.11063
Meisner, Patrick; Södergren, Anders
1
2022
An asymptotically optimal construction of almost affinely disjoint subspaces. Zbl 1498.51009
Otal, Kamil; Arıkan, Talha
1
2022
Exceptional crooked functions. Zbl 1508.11117
Bartoli, Daniele; Calderini, Marco; Timpanella, Marco
1
2022
New classes of permutation trinomials over \(\mathbb{F}_{q^3}\). Zbl 1508.11112
Gupta, Rohit; Gahlyan, Pooja; Sharma, R. K.
1
2022
On construction and (non)existence of \(c\)-(almost) perfect nonlinear functions. Zbl 1473.11224
Bartoli, Daniele; Calderini, Marco
17
2021
Solving \(X^{q+1}+X+a=0\) over finite fields. Zbl 1476.12001
Kim, Kwang Ho; Choe, Junyop; Mesnager, Sihem
10
2021
LCD codes from tridiagonal Toeplitz matrices. Zbl 1473.94143
Shi, Minjia; Özbudak, Ferruh; Xu, Li; Solé, Patrick
9
2021
On oriented supersingular elliptic curves. Zbl 1469.11177
Onuki, Hiroshi
8
2021
A family of permutation trinomials over \(\mathbb{F}_{q^2}\). Zbl 1472.11295
Bartoli, Daniele; Timpanella, Marco
8
2021
Application of Hermitian self-orthogonal GRS codes to some quantum MDS codes. Zbl 1499.81035
Guo, Guanmin; Li, Ruihu; Liu, Yang
7
2021
New singly and doubly even binary \([72,36,12]\) self-dual codes from \(M_2(R)G\)-group matrix rings. Zbl 1484.94026
Korban, Adrian; Şahinkaya, Serap; Ustun, Deniz
7
2021
Existence of primitive 2-normal elements in finite fields. Zbl 1467.11117
Aguirre, Josimar J. R.; Neumann, Victor G. L.
6
2021
Complete solution over \(\mathbb{F}_{p^n}\) of the equation \(X^{p^k+1}+X+a=0\). Zbl 1505.12002
Kim, Kwang Ho; Choe, Jong Hyok; Mesnager, Sihem
5
2021
On the minimum weights of binary LCD codes and ternary LCD codes. Zbl 1492.94199
Araya, Makoto; Harada, Masaaki; Saito, Ken
5
2021
...and 1457 more Documents
all top 5

Cited by 4,713 Authors

71 Dinh, Hai Quang
71 Zhu, Shixin
67 Yue, Qin
66 Zeng, Xiangyong
65 Cao, Xiwang
64 Bartoli, Daniele
64 Shparlinski, Igor E.
62 Özbudak, Ferruh
59 Solé, Patrick
58 Fu, Fangwei
51 Wang, Qiang (Steven)
49 Shi, Minjia
40 Mesnager, Sihem
39 Dougherty, Steven T.
38 Helleseth, Tor
37 Hu, Lei
37 Winterhof, Arne
36 Carlet, Claude
35 Harada, Masaaki
35 Li, Nian
35 Storme, Leo
34 Liu, Hongwei
34 Xiang, Qing
33 Cao, Yonglin
33 Gao, Jian
33 Hou, Xiang-Dong
33 Li, Chengju
32 Ding, Cunsheng
32 Maruta, Tatsuya
32 Tang, Chunming
32 Yildiz, Bahattin
31 Qu, Longjiang
30 Lee, Yoonjin
30 Niederreiter, Harald
29 Cao, Yuan
29 Kaya, Abidin
29 Zullo, Ferdinando
28 Polverino, Olga
28 Reis, Lucas
27 Montanucci, Maria
27 Villarreal, Rafael Heraclio
26 Kai, Xiaoshan
26 Liu, Xiusheng
26 Marino, Giuseppe
26 Pavese, Francesco
26 Sharma, Anuradha
26 Zini, Giovanni
25 Beelen, Pieter Hendrik Turdus
25 Feng, Tao
25 Lavrauw, Michel
25 Pambianco, Fernanda
25 Panario, Daniel
24 Giulietti, Massimo
24 Jitman, Somphong
24 Sriboonchitta, Songsak
24 Yan, Haode
23 Geil, Olav
23 Gulliver, Thomas Aaron
23 Guo, Jun
23 Li, Ruihu
23 Momihara, Koji
23 Sharma, Rajendra Kumar
23 Stănică, Pantelimon
23 Wu, Yansheng
22 Ballet, Stéphane
22 Cossidente, Antonio
22 Dick, Josef
22 Kim, Jon-Lark
22 Wang, Kaishun
21 Cohen, Stephen D.
21 Korban, Adrian
21 Ling, San
21 Meidl, Wilfried
21 Vega, Gerardo
21 Wan, Daqing
21 Wang, Xiaoqiang
21 Yang, Shudi
21 Zha, Zhengbang
21 Zhou, Yue
20 Feng, Keqin
20 Heng, Ziling
20 Kyureghyan, Gohar M.
20 Li, Chunlei
20 Liao, Qunying
20 Marcugini, Stefano
20 Qi, Wenfeng
20 Sheekey, John
20 Szőnyi, Tamás
20 Xu, Guangkui
20 Zheng, Dabin
20 Zhou, Zhengchun
19 Calderini, Marco
19 Csajbók, Bence
19 Gildea, Joe
19 Giuzzi, Luca
19 Güneri, Cem
19 McGuire, Gary
19 Pott, Alexander
19 Van de Voorde, Geertrui
18 Bhaintwal, Maheshanand
...and 4,613 more Authors
all top 5

Cited in 403 Journals

1,144 Finite Fields and their Applications
591 Designs, Codes and Cryptography
339 Discrete Mathematics
271 Cryptography and Communications
197 Advances in Mathematics of Communications
174 Journal of Number Theory
145 Applicable Algebra in Engineering, Communication and Computing
113 Journal of Combinatorial Theory. Series A
85 Linear Algebra and its Applications
77 Discrete Applied Mathematics
73 Quantum Information Processing
69 Journal of Applied Mathematics and Computing
65 Journal of Algebraic Combinatorics
64 International Journal of Number Theory
63 Journal of Pure and Applied Algebra
63 Journal of Algebra and its Applications
61 Journal of Algebra
48 European Journal of Combinatorics
47 Mathematics of Computation
45 Journal of Complexity
44 Communications in Algebra
44 Journal of Symbolic Computation
43 Proceedings of the American Mathematical Society
43 Journal of Combinatorial Designs
38 The Electronic Journal of Combinatorics
35 Discrete Mathematics, Algorithms and Applications
32 Bulletin of the Australian Mathematical Society
32 Journal of Geometry
30 Science China. Mathematics
28 Acta Arithmetica
26 International Journal of Theoretical Physics
26 SIAM Journal on Discrete Mathematics
26 Journal de Théorie des Nombres de Bordeaux
25 Linear and Multilinear Algebra
23 Asian-European Journal of Mathematics
23 Matematicheskie Voprosy Kriptografii
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 The Ramanujan Journal
22 Journal of Algebra, Combinatorics, Discrete Structures and Applications
21 Problems of Information Transmission
20 Turkish Journal of Mathematics
19 Monatshefte für Mathematik
19 Advances in Geometry
18 Journal of Mathematical Analysis and Applications
18 Advances in Mathematics
18 Journal of Discrete Mathematical Sciences & Cryptography
18 Journal of Systems Science and Complexity
18 AIMS Mathematics
17 Graphs and Combinatorics
16 Information Sciences
16 Bulletin of the Korean Mathematical Society
16 Research in Number Theory
15 Information Processing Letters
15 Theoretical Computer Science
14 Indian Journal of Pure & Applied Mathematics
14 Journal of Statistical Planning and Inference
14 Mathematische Annalen
14 Comptes Rendus. Mathématique. Académie des Sciences, Paris
13 Mathematische Zeitschrift
13 International Journal of Computer Mathematics
13 Journal of Mathematical Sciences (New York)
13 Research in the Mathematical Sciences
13 Prikladnaya Diskretnaya Matematika
12 Korean Journal of Mathematics
11 Mathematical Notes
11 Rocky Mountain Journal of Mathematics
11 Bulletin of the Malaysian Mathematical Sciences Society. Second Series
11 Journal of Mathematical Cryptology
11 Ars Mathematica Contemporanea
11 Journal of Mathematics
10 Archiv der Mathematik
10 Mathematika
10 Combinatorica
10 Discrete & Computational Geometry
10 Acta Mathematica Sinica. English Series
10 Bulletin of the Brazilian Mathematical Society. New Series
9 Journal of the Korean Mathematical Society
9 Experimental Mathematics
9 Mathematical Problems in Engineering
9 Integers
9 Journal of the Australian Mathematical Society
8 Mathematical Proceedings of the Cambridge Philosophical Society
8 Duke Mathematical Journal
8 Journal of Computational and Applied Mathematics
8 Advances in Applied Mathematics
8 Forum Mathematicum
8 Annals of Combinatorics
7 Applied Mathematics and Computation
7 Compositio Mathematica
7 Functiones et Approximatio. Commentarii Mathematici
7 Geometriae Dedicata
7 International Journal of Algebra and Computation
7 Discrete Mathematics and Applications
7 The Australasian Journal of Combinatorics
7 Filomat
7 LMS Journal of Computation and Mathematics
7 Mathematics in Computer Science
...and 303 more Journals
all top 5

Cited in 56 Fields

3,279 Number theory (11-XX)
2,865 Information and communication theory, circuits (94-XX)
1,013 Combinatorics (05-XX)
824 Algebraic geometry (14-XX)
586 Geometry (51-XX)
417 Field theory and polynomials (12-XX)
296 Group theory and generalizations (20-XX)
242 Commutative algebra (13-XX)
196 Quantum theory (81-XX)
159 Associative rings and algebras (16-XX)
153 Computer science (68-XX)
147 Linear and multilinear algebra; matrix theory (15-XX)
131 Numerical analysis (65-XX)
119 Order, lattices, ordered algebraic structures (06-XX)
94 Special functions (33-XX)
61 Dynamical systems and ergodic theory (37-XX)
57 Convex and discrete geometry (52-XX)
29 Harmonic analysis on Euclidean spaces (42-XX)
24 Nonassociative rings and algebras (17-XX)
20 Probability theory and stochastic processes (60-XX)
18 Functional analysis (46-XX)
16 Ordinary differential equations (34-XX)
15 Statistics (62-XX)
14 Mathematical logic and foundations (03-XX)
12 Measure and integration (28-XX)
11 Topological groups, Lie groups (22-XX)
10 History and biography (01-XX)
10 Functions of a complex variable (30-XX)
9 Real functions (26-XX)
9 Several complex variables and analytic spaces (32-XX)
9 Approximations and expansions (41-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 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
5 Category theory; homological algebra (18-XX)
5 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