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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: Indexed cover-to-cover
Documents Indexed: 1,667 Publications (since 1995)
References Indexed: 1,563 Publications with 27,171 References.
all top 5

Authors

27 Hou, Xiang-Dong
23 Özbudak, Ferruh
22 Niederreiter, Harald
22 Zeng, Xiangyong
20 Shparlinski, Igor E.
19 Ding, Cunsheng
18 Bartoli, Daniele
16 Helleseth, Tor
16 Hu, Lei
16 Qi, Wenfeng
15 Wang, Qiang (Steven)
15 Yue, Qin
14 Cao, Xiwang
13 Dinh, Hai Quang
13 Solé, Patrick
13 Wan, Daqing
13 Xiang, Qing
12 Cohen, Stephen D.
12 Yuan, Pingzhi
11 Harada, Masaaki
11 Lee, Yoonjin
11 Ling, San
11 Winterhof, Arne
11 Zha, Zhengbang
10 Beelen, Pieter Hendrik Turdus
10 Dougherty, Steven T.
10 Fitzgerald, Robert W.
10 Fu, Fangwei
10 Guo, Jun
10 Katz, Nicholas Michael
10 Meidl, Wilfried
10 Reis, Lucas
10 Stichtenoth, Henning
10 Tu, Ziran
9 Bakshi, Gurmeet K.
9 Cao, Yonglin
9 Coulter, Robert S.
9 Fan, Shuqin
9 Liu, Hongwei
9 Maruta, Tatsuya
9 McGuire, Gary
9 Qu, Longjiang
9 Sala, Massimiliano
9 Shi, Minjia
9 Zhu, Shixin
8 Chen, Bocong
8 Giulietti, Massimo
8 Homma, Masaaki
8 Kim, Seon Jeong
8 Lavrauw, Michel
8 Li, Nian
8 Marino, Giuseppe
8 Momihara, Koji
8 Rúa, Ignacio F.
8 Storme, Leo
8 Taniguchi, Hiroaki
8 Yildiz, Bahattin
8 Yucas, Joseph L.
7 Ahmadi, Omran
7 Ballico, Edoardo
7 Cossidente, Antonio
7 Feng, Keqin
7 Feng, Tao
7 Fukasawa, Satoru
7 Geil, Olav
7 Ghorpade, Sudhir R.
7 Kaya, Abidin
7 Kim, Hyunjin
7 Kyureghyan, Gohar M.
7 Lasjaunias, Alain
7 Li, Chunlei
7 Meemark, Yotsanan
7 Moisio, Marko J.
7 Montanucci, Maria
7 Polverino, Olga
7 Raka, Madhu
7 Sharma, Anuradha
7 Tonchev, Vladimir D.
6 Anbar, Nurdagül
6 Bierbrauer, Jürgen
6 Brison, Owen J.
6 Brochero Martínez, Fabio Enrique
6 Carvalho, Cícero F.
6 Charpin, Pascale
6 Chou, Wunseng
6 Evans, Ronald J.
6 Feng, Rongquan
6 Garefalakis, Theodoulos
6 Han, Wenbao
6 Kai, Xiaoshan
6 Leung, Ka Hin
6 Li, Chengju
6 Matthews, Rex W.
6 Munemasa, Akihiro
6 Neumann, Victor G. L.
6 Nogueira, Joaquim Eurico
6 Pappalardi, Francesco
6 Pavese, Francesco
6 Sun, Qi
6 Thakur, Dinesh S.
...and 1,566 more Authors
all top 5

Fields

1,176 Number theory (11-XX)
623 Information and communication theory, circuits (94-XX)
293 Algebraic geometry (14-XX)
229 Combinatorics (05-XX)
157 Field theory and polynomials (12-XX)
153 Geometry (51-XX)
79 Group theory and generalizations (20-XX)
70 Commutative algebra (13-XX)
48 Linear and multilinear algebra; matrix theory (15-XX)
33 Computer science (68-XX)
30 Associative rings and algebras (16-XX)
22 Numerical analysis (65-XX)
19 Order, lattices, ordered algebraic structures (06-XX)
14 Dynamical systems and ergodic theory (37-XX)
14 Convex and discrete geometry (52-XX)
13 Special functions (33-XX)
11 Quantum theory (81-XX)
5 History and biography (01-XX)
4 Measure and integration (28-XX)
3 General and overarching topics; collections (00-XX)
3 Nonassociative rings and algebras (17-XX)
3 Harmonic analysis on Euclidean spaces (42-XX)
3 Probability theory and stochastic processes (60-XX)
2 Potential theory (31-XX)
2 Several complex variables and analytic spaces (32-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 Functions of a complex variable (30-XX)
1 Ordinary differential equations (34-XX)
1 Abstract harmonic analysis (43-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

1,291 Publications have been cited 9,356 times in 4,422 Documents Cited by Year
Permutation polynomials over finite fields – a survey of recent advances. Zbl 1325.11128
Hou, Xiang-dong
76
2015
A class of three-weight cyclic codes. Zbl 1305.94112
Zhou, Zhengchun; Ding, Cunsheng
71
2014
New cyclic difference sets with Singer parameters. Zbl 1043.05024
Dillon, J. F.; Dobbertin, Hans
70
2004
On constructing permutations of finite fields. Zbl 1281.11102
Akbary, Amir; Ghioca, Dragos; Wang, Qiang
69
2011
Permutation polynomials and applications to coding theory. Zbl 1107.11048
Laigle-Chapuy, Yann
68
2007
The weight distribution of a class of \(p\)-ary cyclic codes. Zbl 1206.94110
Zeng, Xiangyong; Hu, Lei; Jiang, Wenfeng; Yue, Qin; Cao, Xiwang
65
2010
Weight distribution of some reducible cyclic codes. Zbl 1142.11084
Feng, Keqin; Luo, Jinquan
61
2008
On the classification and enumeration of self-dual codes. Zbl 1087.94023
Huffman, W. Cary
58
2005
Cyclic codes over the integers modulo \(p^m\). Zbl 1055.94541
Kanwar, Pramod; López-Permouth, Sergio R.
55
1997
Repeated-root constacyclic codes of length. Zbl 1231.94071
Dinh, Hai Quang
54
2012
Self-dual codes over commutative Frobenius rings. Zbl 1213.94193
Dougherty, Steven T.; Kim, Jon-Lark; Kulosman, Hamid; Liu, Hongwei
52
2010
Low-discrepancy sequences and global function fields with many rational places. Zbl 0893.11029
Niederreiter, Harald; Xing, Chaoping
51
1996
Weight distributions of cyclic codes with respect to pairwise coprime order elements. Zbl 1366.94641
Li, Chengju; Yue, Qin; Li, Fengwei
50
2014
Constructing new APN functions from known ones. Zbl 1184.94228
Budaghyan, Lilya; Carlet, Claude; Leander, Gregor
50
2009
Constacyclic codes over finite fields. Zbl 1272.94089
Chen, Bocong; Fan, Yun; Lin, Liren; Liu, Hongwei
46
2012
Permutation polynomials over finite fields from a powerful lemma. Zbl 1258.11100
Yuan, Pingzhi; Ding, Cunsheng
45
2011
New generalized cyclotomy and its applications. Zbl 0908.11058
Ding, Cunsheng; Helleseth, Tor
45
1998
On the linear ordering of some classes of negacyclic and cyclic codes and their distance distributions. Zbl 1129.94047
Dinh, Hai Quang
45
2008
New families of quadratic almost perfect nonlinear trinomials and multinomials. Zbl 1153.11058
Bracken, Carl; Byrne, Eimear; Markin, Nadya; McGuire, Gary
44
2008
Several classes of complete permutation polynomials. Zbl 1284.05012
Tu, Ziran; Zeng, Xiangyong; Hu, Lei
43
2014
Linear complexity of generalized cyclotomic binary sequences of order 2. Zbl 0908.11062
Ding, Cunsheng
41
1997
A new class of monomial bent functions. Zbl 1162.94004
Canteaut, Anne; Charpin, Pascale; Kyureghyan, Gohar M.
41
2008
A highly nonlinear differentially 4 uniform power mapping that permutes fields of even degree. Zbl 1194.94182
Bracken, Carl; Leander, Gregor
41
2010
A proof of the Welch and Niho conjectures on cross-correlations of binary \(m\)-sequences. Zbl 1027.94006
Hollmann, Henk D. L.; Xiang, Qing
39
2001
Some new classes of permutation trinomials over finite fields with even characteristic. Zbl 1372.11108
Gupta, Rohit; Sharma, R. K.
39
2016
New classes of permutation binomials and permutation trinomials over finite fields. Zbl 1351.11078
Li, Kangquan; Qu, Longjiang; Chen, Xi
39
2017
Two classes of permutation polynomials over finite fields. Zbl 1288.11111
Zha, Zhengbang; Hu, Lei
39
2012
Determination of a type of permutation trinomials over finite fields. II. Zbl 1343.11093
Hou, Xiang-Dong
38
2015
Permutation polynomials of the \((x^p - x+\delta)^s+L(x)\). Zbl 1211.11136
Yuan, Jin; Ding, Cunsheng; Wang, Huaxiong; Pieprzyk, Josef
38
2008
Further results on permutation polynomials over finite fields. Zbl 1297.11148
Yuan, Pingzhi; Ding, Cunsheng
37
2014
Minimal codes of prime-power length. Zbl 1053.94574
Pruthi, Manju; Arora, Suresh Kumar
37
1997
A class of constacyclic codes over a finite field. Zbl 1250.94067
Bakshi, Gurmeet K.; Raka, Madhu
37
2012
Codes over \(R_k\), Gray maps and their binary images. Zbl 1213.94173
Dougherty, Steven T.; Yildiz, Bahattin; Karadeniz, Suat
36
2011
Linearized polynomials over finite fields revisited. Zbl 1345.11084
Wu, Baofeng; Liu, Zhuojun
36
2013
Idempotents in group algebras and minimal abelian codes. Zbl 1176.94075
Ferraz, Raul Antonio; Polcino Milies, César
36
2007
When does \(G(x)+\gamma \, \text{Tr}(H(x))\) permute \(\mathbb F_{p^n}\)? Zbl 1229.11153
Charpin, Pascale; Kyureghyan, Gohar
35
2009
The weight distributions of a class of cyclic codes. Zbl 1271.94034
Xiong, Maosheng
35
2012
Cyclic self-dual \(\mathbb Z_4\)-codes. Zbl 1053.94573
Pless, Vera; Solé, Patrick; Qian, Zhongqiang
35
1997
On constacyclic codes over finite chain rings. Zbl 1305.94097
Cao, Yonglin
35
2013
Binomial differentially 4 uniform permutations with high nonlinearity. Zbl 1267.94043
Bracken, Carl; Tan, Chik How; Tan, Yin
35
2012
New Kloosterman sums identities over \(\mathbb F_{2^m}\) for all \(m\). Zbl 1081.11077
Helleseth, Tor; Zinoviev, Victor
34
2003
On \(x^{q+1}+ax+b\). Zbl 1137.12300
Bluher, Antonia W.
34
2004
Further results on a class of permutation polynomials over finite fields. Zbl 1285.05004
Li, Nian; Helleseth, Tor; Tang, Xiaohu
34
2013
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
33
2004
Blocking sets in Desarguesian affine and projective planes. Zbl 0912.51004
Szőnyi, Tamás
32
1997
Further results on permutation trinomials over finite fields with even characteristic. Zbl 1362.05006
Zha, Zhengbang; Hu, Lei; Fan, Shuqin
32
2017
Two classes of permutation polynomials having the form \((x^{2^m}+x+\delta)^s+x\). Zbl 1320.11120
Tu, Ziran; Zeng, Xiangyong; Jiang, Yupeng
31
2015
Reversed Dickson polynomials over finite fields. Zbl 1228.11174
Hou, Xiang-Dong; Mullen, Gary L.; Sellers, James A.; Yucas, Joseph L.
31
2009
Four classes of permutation polynomials of \(\mathbb F_{2^m}\). Zbl 1167.11045
Yuan, Jin; Ding, Cunsheng
31
2007
Perfect nonlinear binomials and their semifields. Zbl 1194.12003
Zha, Zhengbang; Kyureghyan, Gohar M.; Wang, Xueli
31
2009
Combinatorial designs and the theorem of Weil on multiplicative character sums. Zbl 1211.05022
Buratti, Marco; Pasotti, Anita
31
2009
Quasi-cyclic complementary dual codes. Zbl 1364.94605
Güneri, Cem; Özkaya, Buket; Solé, Patrick
31
2016
Improved explicit estimates on the number of solutions of equations over a finite field. Zbl 1163.11329
Cafure, Antonio; Matera, Guillermo
31
2006
Minimal cyclic codes of length \(2p^n\). Zbl 1098.94639
Arora, Suresh Kumar; Pruthi, Manju
30
1999
A triple-error-correcting cyclic code from the Gold and Kasami-Welch APN power functions. Zbl 1246.94053
Zeng, Xiangyong; Shan, Jinyong; Hu, Lei
30
2012
Type II codes over \(\mathbb F_4\). Zbl 1009.94012
Gaborit, Philippe; Pless, Vera; Solé, Patrick; Atkin, Oliver
29
2002
Negacyclic duadic codes. Zbl 1183.94058
Blackford, Thomas
29
2008
Constructing new differentially 4-uniform permutations from the inverse function. Zbl 1305.94084
Zha, Zhengbang; Hu, Lei; Sun, Siwei
28
2014
All two-weight irreducible cyclic codes? Zbl 1023.94016
Schmidt, Bernhard; White, Clinton
28
2002
Algebraic methods for parameterized codes and invariants of vanishing ideals over finite fields. Zbl 1209.13037
Rentería-Márquez, Carlos; Simis, Aron; Villarreal, Rafael H.
27
2011
On the structure of order domains. Zbl 1008.13007
Geil, Olav; Pellikaan, Ruud
27
2002
Minimal cyclic codes of length \(p^{n} q\). Zbl 1038.94013
Bakshi, Gurmeet K.; Raka, Madhu
27
2003
Cyclic codes over \(\text{GR}(p^2,m)\) of length \(p^k\). Zbl 1175.94124
Kiah, Han Mao; Leung, Ka Hin; Ling, San
27
2008
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
26
2015
Quasi-twisted codes with constacyclic constituent codes. Zbl 1339.94090
Shi, Minjia; Zhang, Yiping
26
2016
On complementary-dual quasi-cyclic codes. Zbl 1165.94009
Esmaeili, M.; Yari, S.
26
2009
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
26
2017
Constructions of \((t,m,s)\)-nets and \((t,s)\)-sequences. Zbl 1087.11051
Niederreiter, Harald
25
2005
On the subset sum problem over finite fields. Zbl 1189.11058
Li, Jiyou; Wan, Daqing
25
2008
Reed-Muller-type codes over the Segre variety. Zbl 1020.94029
González-Sarabia, M.; Rentería, C.; Tapia-Recillas, H.
24
2002
The construction of Cameron-Liebler line classes in \(PG(3,q)\). Zbl 0927.51012
Bruen, A. A.; Drudge, Keldon
24
1999
On modular cyclic codes. Zbl 1130.94333
Dougherty, Steven T.; Park, Young Ho
24
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
23
2016
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
23
2014
On codes from norm-trace curves. Zbl 1032.94015
Geil, Olav
23
2003
Sums of Betti numbers in arbitrary characteristic. Zbl 1068.14501
Katz, Nicholas M.
23
2001
The multiple-recursive matrix method for pseudorandom number generation. Zbl 0823.11041
Niederreiter, Harald
23
1995
On three weights in cyclic codes with two zeros. Zbl 1119.94016
McGuire, Gary
23
2004
Permutation and complete permutation polynomials. Zbl 1368.11126
Bassalygo, L. A.; Zinoviev, V. A.
23
2015
Experimental constructions of self-dual codes. Zbl 1031.94016
Gaborit, Philippe; Otmani, Ayoub
22
2003
Curves with many points and multiplication complexity in any extension of \(\mathbb{F}_q\). Zbl 0953.11022
Ballet, Stéphane
22
1999
On the second Hamming weight of some Reed-Muller type codes. Zbl 1306.94118
Carvalho, Cícero
22
2013
Cyclotomy and permutation polynomials of large indices. Zbl 1331.11107
Wang, Qiang
21
2013
Evaluation codes from order domain theory. Zbl 1136.94010
Andersen, Henning E.; Geil, Olav
21
2008
Two classes of two-weight linear codes. Zbl 1338.94100
Heng, Ziling; Yue, Qin
21
2016
A class of new permutation trinomials. Zbl 1380.05002
Tu, Ziran; Zeng, Xiangyong; Li, Chunlei; Helleseth, Tor
21
2018
The weight distribution of some irreducible cyclic codes. Zbl 1231.94074
Sharma, Anuradha; Bakshi, Gurmeet K.
21
2012
On quasi-twisted codes over finite fields. Zbl 1248.94116
Jia, Yan
21
2012
Repeated-root constacyclic codes of length \(2 \ell^m p^n\). Zbl 1368.11133
Chen, Bocong; Dinh, Hai Q.; Liu, Hongwei
21
2015
A construction of linear codes and their complete weight enumerators. Zbl 1403.94115
Yang, Shudi; Kong, Xiangli; Tang, Chunming
21
2017
Some classes of monomial complete permutation polynomials over finite fields of characteristic two. Zbl 1314.11073
Wu, Gaofei; Li, Nian; Helleseth, Tor; Zhang, Yuqing
20
2014
On towers and composita of towers of function fields over finite fields. Zbl 0946.11029
Garcia, Arnaldo; Stichtenoth, Henning; Thomas, Michael
20
1997
Explicit theorems on generator polynomials. Zbl 1087.11073
Cohen, Stephen D.
20
2005
LCD codes over finite chain rings. Zbl 1392.94931
Liu, Xiusheng; Liu, Hualu
20
2015
The dimension and minimum distance of two classes of primitive BCH codes. Zbl 1402.94100
Ding, Cunsheng; Fan, Cuiling; Zhou, Zhengchun
20
2017
Information sets and partial permutation decoding for codes from finite geometries. Zbl 1089.94044
Key, J. D.; McDonough, T. P.; Mavron, V. C.
20
2006
On the existence of abelian Hadamard difference sets and a new family of difference sets. Zbl 0907.05013
Chen, Yu Qing
19
1997
A new criterion for permutation polynomials. Zbl 0817.11055
Turnwald, Gerhard
19
1995
Factorization of the cyclotomic polynomial \(x^{2^n}+1\) over finite fields. Zbl 0912.11053
Meyn, Helmut
19
1996
\(p\)-ary and \(q\)-ary versions of certain results about bent functions and resilient functions. Zbl 1076.11062
Hou, Xiang-Dong
19
2004
On construction and (non)existence of \(c\)-(almost) perfect nonlinear functions. Zbl 07331819
Bartoli, Daniele; Calderini, Marco
2
2021
Linear sets from projection of Desarguesian spreads. Zbl 1460.51004
Napolitano, Vito; Polverino, Olga; Zini, Giovanni; Zullo, Ferdinando
1
2021
The Chebotarev density theorem for function fields – incomplete intervals. Zbl 07357313
Kurlberg, Pär; Rosenzweig, Lior
1
2021
Roos bound for skew cyclic codes in Hamming and rank metric. Zbl 07313136
Alfarano, Gianira N.; Lobillo, F. J.; Neri, Alessandro
1
2021
A natural graph of finite fields distinguishing between models. Zbl 07313142
Karlsson, Anders; Kuhn, Gaëtan
1
2021
Even points on an algebraic curve. Zbl 07313150
Czogała, Alfred; Koprowski, Przemysław
1
2021
New results on quasi-subfield polynomials. Zbl 07390701
Euler, Marie; Petit, Christophe
1
2021
Galois lines for the Artin-Schreier-Mumford curve. Zbl 07390707
Fukasawa, Satoru
1
2021
Construction and enumeration for self-dual cyclic codes of even length over \(\mathbb{F}_{2^m} + u \mathbb{F}_{2^m} \). Zbl 07160769
Cao, Yuan; Cao, Yonglin; Dinh, Hai Q.; Fu, Fang-Wei; Ma, Fanghui
10
2020
Determination of a class of permutation trinomials in characteristic three. Zbl 1461.11161
Hou, Xiang-dong; Tu, Ziran; Zeng, Xiangyong
7
2020
Solving \(x^{2^k + 1} + x + a = 0\) in \(\mathbb{F}_{2^n}\) with \(\gcd(n, k) = 1\). Zbl 07174363
Kim, Kwang Ho; Mesnager, Sihem
5
2020
On equivalence between known families of quadratic APN functions. Zbl 1458.94217
Budaghyan, Lilya; Calderini, Marco; Villa, Irene
3
2020
Maximal nonassociativity via nearfields. Zbl 07174350
Drápal, Aleš; Lisoněk, Petr
3
2020
A modified Gilbert-Varshamov bound for self-dual quasi-twisted codes of index four. Zbl 1452.94120
Wu, Rongsheng; Shi, Minjia
3
2020
New extremal binary self-dual codes of length 68 from generalized neighbors. Zbl 1465.94106
Gildea, Joe; Kaya, Abidin; Korban, Adrian; Yildiz, Bahattin
3
2020
Intersection distribution, non-hitting index and Kakeya sets in affine planes. Zbl 1447.51007
Li, Shuxing; Pott, Alexander
2
2020
Squares of matrix-product codes. Zbl 1452.94111
Cascudo, Ignacio; Gundersen, Jaron Skovsted; Ruano, Diego
2
2020
Self-reciprocal and self-conjugate-reciprocal irreducible factors of \(x^n - \lambda\) and their applications. Zbl 1452.94126
Wu, Yansheng; Yue, Qin; Fan, Shuqin
2
2020
Galois points for double-Frobenius nonclassical curves. Zbl 1439.14105
Borges, Herivelto; Fukasawa, Satoru
2
2020
Congruence preserving functions in the residue class rings of polynomials over finite fields. Zbl 1461.11165
Li, Xiumei; Sha, Min
2
2020
Finite and symmetrized colored multiple zeta values. Zbl 1451.11097
Singer, Johannes; Zhao, Jianqiang
1
2020
Systematic maximum sum rank codes. Zbl 1444.15015
Almeida, Paulo; Martínez-Peñas, Umberto; Napp, Diego
1
2020
On inverses of some permutation polynomials over finite fields of characteristic three. Zbl 07242795
Zheng, Yanbin; Wang, Fu; Wang, Libo; Wei, Wenhong
1
2020
New linear codes with few weights derived from Kloosterman sums. Zbl 1452.94115
Hu, Zhao; Li, Nian; Zeng, Xiangyong
1
2020
Hermitian codes and complete intersections. Zbl 1436.94119
Marcolla, Chiara; Roggero, Margherita
1
2020
Local cyclicity of isogeny classes of abelian varieties defined over finite fields. Zbl 07174360
Giangreco-Maidana, Alejandro J.
1
2020
Commutative association schemes obtained from twin prime powers, Fermat primes, Mersenne primes. Zbl 1433.05334
Kharaghani, Hadi; Suda, Sho
1
2020
Any small multiplicative subgroup is not a sumset. Zbl 1457.11017
Shkredov, I. D.
1
2020
Constructing new differentially 4-uniform permutations from known ones. Zbl 1461.11169
Sin, Yongho; Kim, Kwangyon; Kim, Ryul; Han, Songchol
1
2020
Irreducible factors of a class of permutation polynomials. Zbl 1456.11229
Kalaycı, Tekgül; Stichtenoth, Henning; Topuzoğlu, Alev
1
2020
A note on the stability of trinomials over finite fields. Zbl 1452.11141
Ahmadi, Omran; Monsef-Shokri, Khosro
1
2020
Optimal cyclic \((r, \delta )\) locally repairable codes with unbounded length. Zbl 1446.94178
Fang, Weijun; Fu, Fang-Wei
1
2020
A family of planar binomials in characteristic 2. Zbl 1452.11142
Bartoli, Daniele; Timpanella, Marco
1
2020
On the size of primitive sets in function fields. Zbl 1455.11165
Gómez-Colunga, Andrés; Kavaler, Charlotte; McNew, Nathan; Zhu, Mirilla
1
2020
The differential spectrum of a ternary power mapping. Zbl 07189007
Xia, Yongbo; Zhang, Xianglai; Li, Chunlei; Helleseth, Tor
1
2020
On the equational graphs over finite fields. Zbl 1437.05088
Mans, Bernard; Sha, Min; Smith, Jeffrey; Sutantyo, Daniel
1
2020
On subfields of the second generalization of the GK maximal function field. Zbl 07189016
Beelen, Peter; Montanucci, Maria
1
2020
New classes of optimal ternary cyclic codes with minimum distance four. Zbl 1434.94104
Zha, Zhengbang; Hu, Lei
1
2020
A reduction theorem for the existence of \(\ast\)-clean finite group rings. Zbl 1437.16019
Chen, Bocong; Huang, Jing
1
2020
Some new forms of permutation polynomials based on the AGW criterion. Zbl 1433.05011
Li, Zengxiang; Wang, Miao; Wu, Jianhua; Zhu, Xishun
1
2020
Permutation trinomials over \(\mathbb{F}_{q^3} \). Zbl 1431.05001
Bartoli, Daniele
1
2020
Neighborhood of the supersingular elliptic curve isogeny graph at \(j = 0\) and 1728. Zbl 1439.11148
Li, Songsong; Ouyang, Yi; Xu, Zheng
1
2020
A new extension theorem for ternary linear codes and its application. Zbl 1464.94072
Kanda, Hitoshi
1
2020
A structure theorem for finite fields. Zbl 07312714
Bluher, Antonia W.
1
2020
Several classes of complete permutation polynomials over finite fields of even characteristic. Zbl 1459.05003
Tu, Ziran; Zeng, Xiangyong; Mao, Jinxiu; Zhou, Junchao
1
2020
Group codes over fields are asymptotically good. Zbl 07312720
Borello, Martino; Willems, Wolfgang
1
2020
New examples of maximal curves with low genus. Zbl 1456.11115
Bartoli, Daniele; Giulietti, Massimo; Kawakita, Motoko; Montanucci, Maria
1
2020
Flag codes from planar spreads in network coding. Zbl 1464.94081
Alonso-González, Clementa; Navarro-Pérez, Miguel Ángel; Soler-Escrivà, Xaro
1
2020
Counting solutions of special linear equations over finite fields. Zbl 1464.11135
Reis, Lucas
1
2020
Perfect linear complexity profile and apwenian sequences. Zbl 1464.11077
Allouche, Jean-Paul; Han, Guo-Niu; Niederreiter, Harald
1
2020
A characterization of linearized polynomials with maximum kernel. Zbl 1411.11127
Csajbók, Bence; Marino, Giuseppe; Polverino, Olga; Zullo, Ferdinando
15
2019
Bordered constructions of self-dual codes from group rings and new extremal binary self-dual codes. Zbl 07067782
Dougherty, Steven T.; Gildea, Joseph; Korban, Adrian; Kaya, Abidin; Tylyshchak, Alexander; Yildiz, Bahattin
12
2019
A characterization of the number of roots of linearized and projective polynomials in the field of coefficients. Zbl 07067780
McGuire, Gary; Sheekey, John
11
2019
A class of repeated-root constacyclic codes over \(\mathbb{F}_{p^m} [u] / \langle u^e \rangle\) of type 2. Zbl 1404.94144
Cao, Yuan; Cao, Yonglin; Dinh, Hai Q.; Fu, Fang-Wei; Gao, Jian; Sriboonchitta, Songsak
9
2019
Two-weight and three-weight linear codes based on Weil sums. Zbl 1448.94264
Jian, Gaopeng; Lin, Zhouchen; Feng, Rongquan
8
2019
Two types of permutation polynomials with special forms. Zbl 1432.11178
Zheng, Dabin; Yuan, Mu; Yu, Long
7
2019
Quadratic residues and related permutations and identities. Zbl 1458.11004
Sun, Zhi-Wei
6
2019
On some determinants with Legendre symbol entries. Zbl 1411.11030
Sun, Zhi-Wei
6
2019
New entanglement-assisted quantum codes from \(k\)-Galois dual codes. Zbl 1404.94138
Liu, Xiusheng; Yu, Long; Hu, Peng
6
2019
On isogeny graphs of supersingular elliptic curves over finite fields. Zbl 1436.11067
Adj, Gora; Ahmadi, Omran; Menezes, Alfred
6
2019
Double circulant LCD codes over \(\mathbb{Z}_4\). Zbl 1456.94138
Shi, Minjia; Huang, Daitao; Sok, Lin; Solé, Patrick
5
2019
Self-conjugate-reciprocal irreducible monic factors of \(x^{n}-1\) over finite fields and their applications. Zbl 1404.11134
Boripan, Arunwan; Jitman, Somphong; Udomkavanich, Patanee
5
2019
Construction of MDS self-dual codes over finite fields. Zbl 1421.94096
Lebed, Khawla; Liu, Hongwei; Luo, Jinquan
4
2019
On an open problem about a class of optimal ternary cyclic codes. Zbl 1421.94102
Han, Dongchun; Yan, Haode
4
2019
Galois lines for the Giulietti-Korchmáros curve. Zbl 1420.14067
Fukasawa, Satoru; Higashine, Kazuki
4
2019
A rigid local system with monodromy group \(2.J_{2}\). Zbl 1467.11115
Katz, Nicholas M.; Rojas-León, Antonio
4
2019
On CCZ-equivalence, extended-affine equivalence, and function twisting. Zbl 1411.94052
Canteaut, Anne; Perrin, Léo
4
2019
Rigid local systems and finite symplectic groups. Zbl 1459.11225
Katz, Nicholas M.; Tiep, Pham Huu
3
2019
New \(\ast\)-clean finite group rings under the conjugate involution. Zbl 1422.16024
Wu, Yansheng; Yue, Qin; Tang, Gaohua
3
2019
On Mersenne polynomials over \(\mathbb{F}_2\). Zbl 1459.11231
Gallardo, Luis H.; Rahavandrainy, Olivier
3
2019
A characterization of cyclic subspace codes via subspace polynomials. Zbl 07067775
Zhao, Wei; Tang, Xilin
3
2019
Further results on complete permutation monomials over finite fields. Zbl 07067778
Feng, Xiutao; Lin, Dongdai; Wang, Liping; Wang, Qiang
3
2019
Birational embeddings of the Hermitian, Suzuki and Ree curves with two Galois points. Zbl 1423.14212
Fukasawa, Satoru
3
2019
Loops of isogeny graphs of supersingular elliptic curves at \(j=0\). Zbl 1450.11060
Ouyang, Yi; Xu, Zheng
3
2019
The subfield codes of hyperoval and conic codes. Zbl 1411.51005
Heng, Ziling; Ding, Cunsheng
3
2019
Additive codes over Galois rings. Zbl 1411.11136
Mahmoudi, Saadoun; Samei, Karim
3
2019
On duals and parity-checks of convolutional codes over \(\mathbb{Z}_{p^r}\). Zbl 1404.94139
El Oued, M.; Napp, Diego; Pinto, Raquel; Toste, Marisa
3
2019
New classes of complete permutation polynomials. Zbl 1401.05016
Li, Lisha; Li, Chaoyun; Li, Chunlei; Zeng, Xiangyong
3
2019
A classification of permutation polynomials of degree 7 over finite fields. Zbl 1444.11238
Fan, Xiang
2
2019
A revisit to a class of permutation quadrinomials. Zbl 1430.05002
Tu, Ziran; Liu, Xianping; Zeng, Xiangyong
2
2019
Affine Cartesian codes with complementary duals. Zbl 07067776
López, Hiram H.; Manganiello, Felice; Matthews, Gretchen L.
2
2019
On the cyclicity of the rational points group of abelian varieties over finite fields. Zbl 07067784
Giangreco-Maidana, Alejandro J.
2
2019
Complete permutation polynomials with the form \((x^{p^m} - x + \delta)^s + a x^{p^m} + b x\) over \(\mathbb{F}_{p^n}\). Zbl 1412.11138
Xu, Xiaofang; Feng, Xiutao; Zeng, Xiangyong
2
2019
Generalized Weierstrass semigroups and their Poincaré series. Zbl 1457.14077
Moyano-Fernández, J. J.; Tenório, W.; Torres, F.
2
2019
Vector subspaces of finite fields and star operations on pseudo-valuation domains. Zbl 1408.13007
Spirito, Dario
2
2019
Multifold factorizations of cyclic groups into subsets. Zbl 1407.05045
Yamada, Kohei; Mishima, Miwako; Satoh, Junya; Jimbo, Masakazu
2
2019
New links between nonlinearity and differential uniformity. Zbl 1411.94053
Charpin, Pascale; Peng, Jie
2
2019
Derivations on group algebras with coding theory applications. Zbl 1431.13029
Creedon, Leo; Hughes, Kieran
2
2019
Constructing self-orthogonal and Hermitian self-orthogonal codes via weighing matrices and orbit matrices. Zbl 1403.94124
Crnković, Dean; Egan, Ronan; Švob, Andrea
2
2019
Some binary BCH codes with length \(n = 2^m + 1\). Zbl 1404.94147
Liu, Yang; Li, Ruihu; Fu, Qiang; Lu, Liangdong; Rao, Yi
2
2019
On the minimum distance of negacyclic codes with two zeros. Zbl 1404.94150
Zhou, Yajing; Kai, Xiaoshan; Zhu, Shixin; Li, Jin
2
2019
Critical groups of Van Lint-Schrijver cyclotomic strongly regular graphs. Zbl 1421.05098
Pantangi, Venkata Raghu Tej
1
2019
The \(k\)-subset sum problem over finite fields of characteristic 2. Zbl 1454.11220
Choe, Hyok; Choe, Chunghyok
1
2019
Conical Kakeya and Nikodym sets in finite fields. Zbl 1434.52019
Warren, Audie; Winterhof, Arne
1
2019
Classification of cyclic codes over a non-Galois chain ring \(\mathbb{Z}_p [u] / \langle u^3 \rangle\). Zbl 1421.94105
Kim, Boran; Lee, Yoonjin; Doo, Jisoo
1
2019
Skew multi-twisted codes over finite fields and their Galois duals. Zbl 1421.94107
Sharma, Anuradha; Chauhan, Varsha
1
2019
Double sums of Kloosterman sums in finite fields. Zbl 1447.11117
Macourt, Simon; Shparlinski, Igor E.
1
2019
Quadratic residues and related permutations. Zbl 1427.11007
Wu, Hai-Liang
1
2019
Determining the Walsh spectra of Taniguchi’s and related APN-functions. Zbl 1427.11141
Anbar, Nurdagül; Kalaycı, Tekgül; Meidl, Wilfried
1
2019
On some cyclic codes of length \(\frac{q^{2m} - 1}{q + 1} \). Zbl 1427.94104
Wu, Peng; Li, Chengju; Peng, Wei
1
2019
...and 1191 more Documents
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Cited by 3,481 Authors

56 Shparlinski, Igor E.
54 Dinh, Hai Quang
49 Özbudak, Ferruh
49 Yue, Qin
48 Bartoli, Daniele
48 Cao, Xiwang
45 Solé, Patrick
43 Hou, Xiang-Dong
43 Zeng, Xiangyong
42 Zhu, Shixin
39 Fu, Fangwei
39 Wang, Qiang (Steven)
35 Hu, Lei
33 Dougherty, Steven T.
33 Helleseth, Tor
32 Cao, Yonglin
32 Xiang, Qing
31 Storme, Leo
30 Shi, Minjia
30 Winterhof, Arne
30 Yildiz, Bahattin
29 Ding, Cunsheng
29 Feng, Tao
29 Harada, Masaaki
29 Niederreiter, Harald
27 Carlet, Claude
27 Villarreal, Rafael Heraclio
26 Lee, Yoonjin
26 Li, Chengju
26 Mesnager, Sihem
26 Sriboonchitta, Songsak
25 Cao, Yuan
25 Kaya, Abidin
24 Maruta, Tatsuya
23 Gulliver, Thomas Aaron
23 Marino, Giuseppe
23 Panario, Daniel
23 Polverino, Olga
22 Giulietti, Massimo
22 Liu, Hongwei
22 Meidl, Wilfried
22 Momihara, Koji
22 Reis, Lucas
22 Zini, Giovanni
21 Guo, Jun
21 Wang, Kaishun
20 Beelen, Pieter Hendrik Turdus
20 Dick, Josef
20 Feng, Keqin
20 Li, Nian
20 Montanucci, Maria
20 Qu, Longjiang
20 Zha, Zhengbang
19 Geil, Olav
19 Jitman, Somphong
19 Marcugini, Stefano
19 Pambianco, Fernanda
19 Sharma, Anuradha
19 Tang, Chunming
18 Ballet, Stéphane
18 Lavrauw, Michel
18 Wan, Daqing
17 Güneri, Cem
17 Qi, Wenfeng
17 Wu, Yansheng
17 Yang, Shudi
17 Zheng, Dabin
17 Zhou, Zhengchun
16 Chen, Zhixiong
16 Cossidente, Antonio
16 De Bruyn, Bart
16 Gao, Jian
16 Kai, Xiaoshan
16 Kim, Jon-Lark
16 Li, Chunlei
16 Ling, San
16 McGuire, Gary
16 Ostafe, Alina
16 Wang, Xiaoqiang
16 Xu, Guangkui
15 Cohen, Stephen D.
15 Giuzzi, Luca
15 Gomez-Perez, Domingo
15 Katz, Nicholas Michael
15 Key, Jennifer D.
15 Korchmáros, Gábor
15 Ruano, Diego
15 Szőnyi, Tamás
15 Topuzoǧlu, Alev
15 Torres, Fernando
15 Vega, Gerardo
15 Yan, Haode
15 Yan, Tongjiang
14 Ghorpade, Sudhir R.
14 Guenda, Kenza
14 Kyureghyan, Gohar M.
14 Pavese, Francesco
14 Pillichshammer, Friedrich
14 Pott, Alexander
14 Trombetti, Rocco
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Cited in 348 Journals

916 Finite Fields and their Applications
488 Designs, Codes and Cryptography
255 Discrete Mathematics
184 Cryptography and Communications
147 Journal of Number Theory
119 Advances in Mathematics of Communications
115 Applicable Algebra in Engineering, Communication and Computing
99 Journal of Combinatorial Theory. Series A
69 Linear Algebra and its Applications
67 Discrete Applied Mathematics
59 Journal of Pure and Applied Algebra
54 International Journal of Number Theory
53 Journal of Algebra
53 Journal of Algebraic Combinatorics
44 Journal of Algebra and its Applications
43 Mathematics of Computation
42 Journal of Complexity
39 Journal of Symbolic Computation
37 European Journal of Combinatorics
34 Communications in Algebra
34 Proceedings of the American Mathematical Society
31 Journal of Applied Mathematics and Computing
30 Science China. Mathematics
27 Journal of Geometry
26 Bulletin of the Australian Mathematical Society
25 Journal of Combinatorial Designs
24 Journal de Théorie des Nombres de Bordeaux
22 Discrete Mathematics, Algorithms and Applications
21 Israel Journal of Mathematics
20 Transactions of the American Mathematical Society
20 International Journal of Foundations of Computer Science
20 Asian-European Journal of Mathematics
19 Problems of Information Transmission
19 Acta Arithmetica
18 Monatshefte für Mathematik
17 Linear and Multilinear Algebra
17 SIAM Journal on Discrete Mathematics
17 Advances in Geometry
17 Journal of Systems Science and Complexity
16 Information Sciences
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14 Information Processing Letters
14 Journal of Mathematical Analysis and Applications
14 Advances in Mathematics
14 Journal of Statistical Planning and Inference
14 The Ramanujan Journal
12 Bulletin of the Korean Mathematical Society
12 Graphs and Combinatorics
12 International Journal of Computer Mathematics
12 Comptes Rendus. Mathématique. Académie des Sciences, Paris
12 Research in the Mathematical Sciences
12 Prikladnaya Diskretnaya Matematika
12 Matematicheskie Voprosy Kriptografii
11 Theoretical Computer Science
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10 International Journal of Theoretical Physics
10 Acta Mathematica Sinica. English Series
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9 Mathematische Annalen
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6 American Mathematical Monthly
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6 International Journal of Algebra and Computation
6 The Electronic Journal of Combinatorics
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6 Science China. Information Sciences
6 \(p\)-Adic Numbers, Ultrametric Analysis, and Applications
6 Research in Number Theory
5 Journal of the Franklin Institute
5 Applied Mathematics and Computation
5 Compositio Mathematica
5 Functiones et Approximatio. Commentarii Mathematici
5 Geometriae Dedicata
5 Glasgow Mathematical Journal
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5 Discrete Mathematics and Applications
5 Proceedings of the Indian Academy of Sciences. Mathematical Sciences
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Cited in 56 Fields

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