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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: 1,804 Publications (since 1995)
References Indexed: 1,700 Publications with 30,182 References.
all top 5

Authors

28 Hou, Xiang-Dong
24 Özbudak, Ferruh
24 Zeng, Xiangyong
22 Niederreiter, Harald
21 Bartoli, Daniele
21 Shparlinski, Igor E.
19 Ding, Cunsheng
18 Wang, Qiang (Steven)
17 Qi, Wenfeng
16 Helleseth, Tor
16 Hu, Lei
16 Yue, Qin
15 Cao, Xiwang
14 Solé, Patrick
14 Xiang, Qing
13 Dinh, Hai Quang
13 Lee, Yoonjin
13 Reis, Lucas
13 Wan, Daqing
12 Cohen, Stephen D.
12 Harada, Masaaki
12 Yuan, Pingzhi
11 Dougherty, Steven T.
11 Ling, San
11 Shi, Minjia
11 Stichtenoth, Henning
11 Winterhof, Arne
11 Zha, Zhengbang
10 Beelen, Pieter Hendrik Turdus
10 Coulter, Robert S.
10 Fitzgerald, Robert W.
10 Fu, Fangwei
10 Guo, Jun
10 Katz, Nicholas Michael
10 Lavrauw, Michel
10 Li, Nian
10 McGuire, Gary
10 Meidl, Wilfried
10 Momihara, Koji
10 Sala, Massimiliano
10 Tu, Ziran
9 Bakshi, Gurmeet K.
9 Cao, Yonglin
9 Chen, Bocong
9 Fan, Shuqin
9 Giulietti, Massimo
9 Liu, Hongwei
9 Maruta, Tatsuya
9 Qu, Longjiang
9 Rúa, Ignacio F.
9 Zhu, Shixin
8 Feng, Keqin
8 Homma, Masaaki
8 Kim, Seon Jeong
8 Li, Chengju
8 Marino, Giuseppe
8 Meemark, Yotsanan
8 Montanucci, Maria
8 Sharma, Anuradha
8 Storme, Leo
8 Taniguchi, Hiroaki
8 Yildiz, Bahattin
8 Yucas, Joseph L.
8 Zini, Giovanni
7 Ahmadi, Omran
7 Anbar, Nurdagül
7 Ballico, Edoardo
7 Bluher, Antonia Wilson
7 Charpin, Pascale
7 Cossidente, Antonio
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 Moisio, Marko J.
7 Polverino, Olga
7 Raka, Madhu
7 Tonchev, Vladimir D.
6 Bierbrauer, Jürgen
6 Brison, Owen J.
6 Brochero Martínez, Fabio Enrique
6 Carlet, Claude
6 Carvalho, Cícero F.
6 Chou, Wunseng
6 Evans, Ronald J.
6 Feng, Rongquan
6 Garefalakis, Theodoulos
6 Göloğlu, Faruk
6 Han, Wenbao
6 Heng, Ziling
6 Kai, Xiaoshan
6 Kharaghani, Hadi
6 Leung, Ka Hin
6 Li, Ruihu
6 Martínez-Moro, Edgar
...and 1,708 more Authors
all top 5

Fields

1,265 Number theory (11-XX)
674 Information and communication theory, circuits (94-XX)
312 Algebraic geometry (14-XX)
255 Combinatorics (05-XX)
173 Field theory and polynomials (12-XX)
171 Geometry (51-XX)
86 Group theory and generalizations (20-XX)
74 Commutative algebra (13-XX)
52 Linear and multilinear algebra; matrix theory (15-XX)
36 Associative rings and algebras (16-XX)
35 Computer science (68-XX)
22 Numerical analysis (65-XX)
19 Order, lattices, ordered algebraic structures (06-XX)
17 Convex and discrete geometry (52-XX)
15 Dynamical systems and ergodic theory (37-XX)
13 Special functions (33-XX)
12 Quantum theory (81-XX)
5 History and biography (01-XX)
5 Measure and integration (28-XX)
5 Harmonic analysis on Euclidean spaces (42-XX)
4 Probability theory and stochastic processes (60-XX)
3 General and overarching topics; collections (00-XX)
3 Nonassociative rings and algebras (17-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 Functions of a complex variable (30-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

1,415 Publications have been cited 10,907 times in 5,048 Documents Cited by Year
Permutation polynomials over finite fields – a survey of recent advances. Zbl 1325.11128
Hou, Xiang-dong
94
2015
On constructing permutations of finite fields. Zbl 1281.11102
Akbary, Amir; Ghioca, Dragos; Wang, Qiang
80
2011
New cyclic difference sets with Singer parameters. Zbl 1043.05024
Dillon, J. F.; Dobbertin, Hans
79
2004
A class of three-weight cyclic codes. Zbl 1305.94112
Zhou, Zhengchun; Ding, Cunsheng
77
2014
Permutation polynomials and applications to coding theory. Zbl 1107.11048
Laigle-Chapuy, Yann
74
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
69
2010
Weight distribution of some reducible cyclic codes. Zbl 1142.11084
Feng, Keqin; Luo, Jinquan
63
2008
On the classification and enumeration of self-dual codes. Zbl 1087.94023
Huffman, W. Cary
61
2005
Cyclic codes over the integers modulo \(p^m\). Zbl 1055.94541
Kanwar, Pramod; López-Permouth, Sergio R.
59
1997
Weight distributions of cyclic codes with respect to pairwise coprime order elements. Zbl 1366.94641
Li, Chengju; Yue, Qin; Li, Fengwei
58
2014
Repeated-root constacyclic codes of length. Zbl 1231.94071
Dinh, Hai Quang
58
2012
Constructing new APN functions from known ones. Zbl 1184.94228
Budaghyan, Lilya; Carlet, Claude; Leander, Gregor
57
2009
Self-dual codes over commutative Frobenius rings. Zbl 1213.94193
Dougherty, Steven T.; Kim, Jon-Lark; Kulosman, Hamid; Liu, Hongwei
54
2010
Low-discrepancy sequences and global function fields with many rational places. Zbl 0893.11029
Niederreiter, Harald; Xing, Chaoping
53
1996
A highly nonlinear differentially 4 uniform power mapping that permutes fields of even degree. Zbl 1194.94182
Bracken, Carl; Leander, Gregor
51
2010
Permutation polynomials over finite fields from a powerful lemma. Zbl 1258.11100
Yuan, Pingzhi; Ding, Cunsheng
49
2011
New generalized cyclotomy and its applications. Zbl 0908.11058
Ding, Cunsheng; Helleseth, Tor
49
1998
Constacyclic codes over finite fields. Zbl 1272.94089
Chen, Bocong; Fan, Yun; Lin, Liren; Liu, Hongwei
49
2012
New classes of permutation binomials and permutation trinomials over finite fields. Zbl 1351.11078
Li, Kangquan; Qu, Longjiang; Chen, Xi
48
2017
On the linear ordering of some classes of negacyclic and cyclic codes and their distance distributions. Zbl 1129.94047
Dinh, Hai Quang
48
2008
Several classes of complete permutation polynomials. Zbl 1284.05012
Tu, Ziran; Zeng, Xiangyong; Hu, Lei
48
2014
New families of quadratic almost perfect nonlinear trinomials and multinomials. Zbl 1153.11058
Bracken, Carl; Byrne, Eimear; Markin, Nadya; McGuire, Gary
47
2008
Quasi-cyclic complementary dual codes. Zbl 1364.94605
Güneri, Cem; Özkaya, Buket; Solé, Patrick
45
2016
Linearized polynomials over finite fields revisited. Zbl 1345.11084
Wu, Baofeng; Liu, Zhuojun
45
2013
Some new classes of permutation trinomials over finite fields with even characteristic. Zbl 1372.11108
Gupta, Rohit; Sharma, R. K.
44
2016
Linear complexity of generalized cyclotomic binary sequences of order 2. Zbl 0908.11062
Ding, Cunsheng
43
1997
On \(x^{q+1}+ax+b\). Zbl 1137.12300
Bluher, Antonia W.
42
2004
Permutation polynomials of the \((x^p - x+\delta)^s+L(x)\). Zbl 1211.11136
Yuan, Jin; Ding, Cunsheng; Wang, Huaxiong; Pieprzyk, Josef
42
2008
Idempotents in group algebras and minimal abelian codes. Zbl 1176.94075
Ferraz, Raul Antonio; Polcino Milies, César
42
2007
A new class of monomial bent functions. Zbl 1162.94004
Canteaut, Anne; Charpin, Pascale; Kyureghyan, Gohar M.
42
2008
Binomial differentially 4 uniform permutations with high nonlinearity. Zbl 1267.94043
Bracken, Carl; Tan, Chik How; Tan, Yin
42
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
41
2001
Two classes of permutation polynomials over finite fields. Zbl 1288.11111
Zha, Zhengbang; Hu, Lei
41
2012
Determination of a type of permutation trinomials over finite fields. II. Zbl 1343.11093
Hou, Xiang-Dong
40
2015
Minimal codes of prime-power length. Zbl 1053.94574
Pruthi, Manju; Arora, Suresh Kumar
40
1997
Further results on permutation polynomials over finite fields. Zbl 1297.11148
Yuan, Pingzhi; Ding, Cunsheng
40
2014
When does \(G(x)+\gamma \, \text{Tr}(H(x))\) permute \(\mathbb F_{p^n}\)? Zbl 1229.11153
Charpin, Pascale; Kyureghyan, Gohar
39
2009
Codes over \(R_k\), Gray maps and their binary images. Zbl 1213.94173
Dougherty, Steven T.; Yildiz, Bahattin; Karadeniz, Suat
39
2011
Cyclic self-dual \(\mathbb Z_4\)-codes. Zbl 1053.94573
Pless, Vera; Solé, Patrick; Qian, Zhongqiang
39
1997
A class of constacyclic codes over a finite field. Zbl 1250.94067
Bakshi, Gurmeet K.; Raka, Madhu
39
2012
New Kloosterman sums identities over \(\mathbb F_{2^m}\) for all \(m\). Zbl 1081.11077
Helleseth, Tor; Zinoviev, Victor
38
2003
Further results on a class of permutation polynomials over finite fields. Zbl 1285.05004
Li, Nian; Helleseth, Tor; Tang, Xiaohu
38
2013
Improved explicit estimates on the number of solutions of equations over a finite field. Zbl 1163.11329
Cafure, Antonio; Matera, Guillermo
37
2006
Quasi-twisted codes with constacyclic constituent codes. Zbl 1339.94090
Shi, Minjia; Zhang, Yiping
36
2016
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
36
2017
On constacyclic codes over finite chain rings. Zbl 1305.94097
Cao, Yonglin
36
2013
Perfect nonlinear binomials and their semifields. Zbl 1194.12003
Zha, Zhengbang; Kyureghyan, Gohar M.; Wang, Xueli
35
2009
The weight distributions of a class of cyclic codes. Zbl 1271.94034
Xiong, Maosheng
35
2012
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
34
2004
Four classes of permutation polynomials of \(\mathbb F_{2^m}\). Zbl 1167.11045
Yuan, Jin; Ding, Cunsheng
34
2007
Further results on permutation trinomials over finite fields with even characteristic. Zbl 1362.05006
Zha, Zhengbang; Hu, Lei; Fan, Shuqin
34
2017
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
Two classes of permutation polynomials having the form \((x^{2^m}+x+\delta)^s+x\). Zbl 1320.11120
Tu, Ziran; Zeng, Xiangyong; Jiang, Yupeng
34
2015
Type II codes over \(\mathbb F_4\). Zbl 1009.94012
Gaborit, Philippe; Pless, Vera; Solé, Patrick; Atkin, Oliver
33
2002
Reversed Dickson polynomials over finite fields. Zbl 1228.11174
Hou, Xiang-Dong; Mullen, Gary L.; Sellers, James A.; Yucas, Joseph L.
33
2009
Minimal linear codes over finite fields. Zbl 1401.94262
Heng, Ziling; Ding, Cunsheng; Zhou, Zhengchun
33
2018
Combinatorial designs and the theorem of Weil on multiplicative character sums. Zbl 1211.05022
Buratti, Marco; Pasotti, Anita
33
2009
Constructing new differentially 4-uniform permutations from the inverse function. Zbl 1305.94084
Zha, Zhengbang; Hu, Lei; Sun, Siwei
33
2014
Minimal cyclic codes of length \(2p^n\). Zbl 1098.94639
Arora, Suresh Kumar; Pruthi, Manju
33
1999
All two-weight irreducible cyclic codes? Zbl 1023.94016
Schmidt, Bernhard; White, Clinton
32
2002
Blocking sets in Desarguesian affine and projective planes. Zbl 0912.51004
Szőnyi, Tamás
32
1997
On complementary-dual quasi-cyclic codes. Zbl 1165.94009
Esmaeili, M.; Yari, S.
31
2009
Minimal cyclic codes of length \(p^{n} q\). Zbl 1038.94013
Bakshi, Gurmeet K.; Raka, Madhu
30
2003
LCD codes over finite chain rings. Zbl 1392.94931
Liu, Xiusheng; Liu, Hualu
30
2015
Cyclic codes over \(\text{GR}(p^2,m)\) of length \(p^k\). Zbl 1175.94124
Kiah, Han Mao; Leung, Ka Hin; Ling, San
30
2008
On the subset sum problem over finite fields. Zbl 1189.11058
Li, Jiyou; Wan, Daqing
30
2008
Negacyclic duadic codes. Zbl 1183.94058
Blackford, Thomas
30
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
30
2015
The multiple-recursive matrix method for pseudorandom number generation. Zbl 0823.11041
Niederreiter, Harald
29
1995
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
29
2016
Algebraic methods for parameterized codes and invariants of vanishing ideals over finite fields. Zbl 1209.13037
Rentería-Márquez, Carlos; Simis, Aron; Villarreal, Rafael H.
28
2011
The construction of Cameron-Liebler line classes in \(PG(3,q)\). Zbl 0927.51012
Bruen, A. A.; Drudge, Keldon
28
1999
A class of new permutation trinomials. Zbl 1380.05002
Tu, Ziran; Zeng, Xiangyong; Li, Chunlei; Helleseth, Tor
27
2018
On the structure of order domains. Zbl 1008.13007
Geil, Olav; Pellikaan, Ruud
27
2002
New maximum scattered linear sets of the projective line. Zbl 1401.51007
Csajbók, Bence; Marino, Giuseppe; Zullo, Ferdinando
27
2018
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
27
2014
On modular cyclic codes. Zbl 1130.94333
Dougherty, Steven T.; Park, Young Ho
26
2007
Constructions of optimal LCD codes over large finite fields. Zbl 1436.94115
Sok, Lin; Shi, Minjia; Solé, Patrick
25
2018
Experimental constructions of self-dual codes. Zbl 1031.94016
Gaborit, Philippe; Otmani, Ayoub
25
2003
On three weights in cyclic codes with two zeros. Zbl 1119.94016
McGuire, Gary
25
2004
Power sums with applications to multizeta and zeta zero distribution for \(\mathbb F_q[t]\). Zbl 1228.11139
Thakur, Dinesh S.
25
2009
Constructions of \((t,m,s)\)-nets and \((t,s)\)-sequences. Zbl 1087.11051
Niederreiter, Harald
25
2005
Sums of Betti numbers in arbitrary characteristic. Zbl 1068.14501
Katz, Nicholas M.
25
2001
Two classes of two-weight linear codes. Zbl 1338.94100
Heng, Ziling; Yue, Qin
25
2016
Supercongruences involving products of two binomial coefficients. Zbl 1331.11012
Sun, Zhi-Wei
25
2013
A construction of linear codes and their complete weight enumerators. Zbl 1403.94115
Yang, Shudi; Kong, Xiangli; Tang, Chunming
25
2017
On quasi-twisted codes over finite fields. Zbl 1248.94116
Jia, Yan
25
2012
Reed-Muller-type codes over the Segre variety. Zbl 1020.94029
González-Sarabia, M.; Rentería, C.; Tapia-Recillas, H.
24
2002
Curves with many points and multiplication complexity in any extension of \(\mathbb{F}_q\). Zbl 0953.11022
Ballet, Stéphane
24
1999
The dimension and minimum distance of two classes of primitive BCH codes. Zbl 1402.94100
Ding, Cunsheng; Fan, Cuiling; Zhou, Zhengchun
24
2017
Cyclotomy and permutation polynomials of large indices. Zbl 1331.11107
Wang, Qiang
24
2013
Repeated-root constacyclic codes of length \(2 \ell^m p^n\). Zbl 1368.11133
Chen, Bocong; Dinh, Hai Q.; Liu, Hongwei
24
2015
Permutation and complete permutation polynomials. Zbl 1368.11126
Bassalygo, L. A.; Zinoviev, V. A.
24
2015
On codes from norm-trace curves. Zbl 1032.94015
Geil, Olav
23
2003
Some classes of monomial complete permutation polynomials over finite fields of characteristic two. Zbl 1314.11073
Wu, Gaofei; Li, Nian; Helleseth, Tor; Zhang, Yuqing
23
2014
The weight distribution of some irreducible cyclic codes. Zbl 1231.94074
Sharma, Anuradha; Bakshi, Gurmeet K.
23
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
23
2017
A characterization of linearized polynomials with maximum kernel. Zbl 1411.11127
Csajbók, Bence; Marino, Giuseppe; Polverino, Olga; Zullo, Ferdinando
22
2019
Permutation polynomials of the form \((x^{p^m} - x + \delta)^s + L(x)\) over the finite field \(\mathbb{F}_{p^{2 m}}\) of odd characteristic. Zbl 1315.05008
Tu, Ziran; Zeng, Xiangyong; Li, Chunlei; Helleseth, Tor
22
2015
On a conjecture about a class of permutation trinomials. Zbl 1404.11133
Bartoli, Daniele
22
2018
Investigating the exceptionality of scattered polynomials. Zbl 1480.11153
Bartoli, Daniele; Zini, Giovanni; Zullo, Ferdinando
2
2022
On pencils of cubics on the projective line over finite fields of characteristic \(>3\). Zbl 07457357
Günay, Gülizar; Lavrauw, Michel
2
2022
Counting irreducible polynomials with prescribed coefficients over a finite field. Zbl 07505590
Gao, Zhicheng; Kuttner, Simon; Wang, Qiang
2
2022
On the clique number of Paley graphs of prime power order. Zbl 07432398
Yip, Chi Hoi
1
2022
Pure Gauss sums and skew Hadamard difference sets. Zbl 1475.11215
Momihara, Koji
1
2022
On the constructions of MDS self-dual codes via cyclotomy. Zbl 1486.94188
Zhang, Aixian; Feng, Keqin
1
2022
On sums and products of combinatorial cubes. Zbl 1487.11011
Shkredov, I. D.
1
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.
1
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
1
2022
On intersection density of transitive groups of degree a product of two odd primes. Zbl 07457363
Hujdurović, Ademir; Kutnar, Klavdija; Kuzma, Bojan; Marušič, Dragan; Miklavič, Štefko; Orel, Marko
1
2022
Simplified isogeny formulas on twisted Jacobi quartic curves. Zbl 1487.14078
Hu, Zhi; Liu, Zhe; Wang, Lin; Zhou, Zijian
1
2022
Splitting subspaces of linear operators over finite fields. Zbl 1484.11225
Aggarwal, Divya; Ram, Samrith
1
2022
A class of linear sets in \(\mathrm{PG} (1,q^5)\). Zbl 1482.51004
Montanucci, Maria; Zanella, Corrado
1
2022
The additive index of polynomials over finite fields. Zbl 1486.12003
Reis, Lucas; Wang, Qiang
1
2022
Sum-rank product codes and bounds on the minimum distance. Zbl 07505588
Alfarano, Gianira N.; Lobillo, F. J.; Neri, Alessandro; Wachter-Zeh, Antonia
1
2022
Extending two families of maximum rank distance codes. Zbl 07523464
Neri, Alessandro; Santonastaso, Paolo; Zullo, Ferdinando
1
2022
A further study of quadratic APN permutations in dimension nine. Zbl 07523466
Beierle, Christof; Carlet, Claude; Leander, Gregor; Perrin, Léo
1
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.
1
2022
On construction and (non)existence of \(c\)-(almost) perfect nonlinear functions. Zbl 1473.11224
Bartoli, Daniele; Calderini, Marco
8
2021
Solving \(X^{q+1}+X+a=0\) over finite fields. Zbl 1476.12001
Kim, Kwang Ho; Choe, Junyop; Mesnager, Sihem
6
2021
The parameters of minimal linear codes. Zbl 1468.94431
Lu, Wei; Wu, Xia; Cao, Xiwang
5
2021
On enumeration of irreducible polynomials and related objects over a finite field with respect to their trace and norm. Zbl 07313134
Gao, Zhicheng; Kuttner, Simon; Wang, Qiang
3
2021
On oriented supersingular elliptic curves. Zbl 1469.11177
Onuki, Hiroshi
3
2021
A family of permutation trinomials over \(\mathbb{F}_{q^2}\). Zbl 1472.11295
Bartoli, Daniele; Timpanella, Marco
3
2021
New point compression method for elliptic \(\mathbb{F}_{q^2}\)-curves of \(j\)-invariant 0. Zbl 1467.14067
Koshelev, Dmitrii
2
2021
Two classes of permutation trinomials with Niho exponents. Zbl 1459.05005
Zheng, Lijing; Kan, Haibin; Peng, Jie; Tang, Deng
2
2021
Even points on an algebraic curve. Zbl 1468.11145
Czogała, Alfred; Koprowski, Przemysław
2
2021
New generalized almost perfect nonlinear functions. Zbl 1459.94138
Özbudak, Ferruh; Sălăgean, Ana
2
2021
Linear sets from projection of Desarguesian spreads. Zbl 1460.51004
Napolitano, Vito; Polverino, Olga; Zini, Giovanni; Zullo, Ferdinando
2
2021
On a classification of the automorphism groups of polarized abelian surfaces over finite fields. Zbl 1470.11161
Hwang, WonTae
2
2021
New Wilson-like theorems arising from Dickson polynomials. Zbl 1478.11142
Bluher, Antonia W.
2
2021
On special pairs of primitive elements over a finite field. Zbl 1468.11239
Carvalho, Cícero; Guardieiro, João Paulo; Neumann, Victor G. L.; Tizziotti, Guilherme
2
2021
On the constructions of \(n\)-cycle permutations. Zbl 1468.11234
Chen, Yuting; Wang, Liqi; Zhu, Shixin
2
2021
On \(\ast\)-clean group rings over finite fields. Zbl 1473.16021
Han, Dongchun; Zhang, Hanbin
2
2021
Existence of primitive 2-normal elements in finite fields. Zbl 1467.11117
Aguirre, Josimar J. R.; Neumann, Victor G. L.
2
2021
Weight distributions and weight hierarchies of two classes of binary linear codes. Zbl 1467.94052
Li, Fei; Li, Xiumei
2
2021
Analogues of Alladi’s formula over global function fields. Zbl 1479.11201
Duan, Lian; Wang, Biao; Yi, Shaoyun
2
2021
LCD codes from tridiagonal Toeplitz matrices. Zbl 1473.94143
Shi, Minjia; Özbudak, Ferruh; Xu, Li; Solé, Patrick
2
2021
Galois lines for the Artin-Schreier-Mumford curve. Zbl 1470.14061
Fukasawa, Satoru
2
2021
Complete solution over \(\mathbb{F}_{p^n}\) of the equation \(X^{p^k+1}+X+a=0\). Zbl 07418918
Kim, Kwang Ho; Choe, Jong Hyok; Mesnager, Sihem
2
2021
Partially scattered linearized polynomials and rank metric codes. Zbl 1476.51006
Longobardi, Giovanni; Zanella, Corrado
2
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
2
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 multivariate cryptosystem inspired by random linear codes. Zbl 1465.94088
Smith-Tone, Daniel; Tone, Cristina
1
2021
A natural graph of finite fields distinguishing between models. Zbl 1473.12004
Karlsson, Anders; Kuhn, Gaëtan
1
2021
Covers of generalized quadrangles. II: Kantor-Knuth covers and embedded ovoids. Zbl 1461.51003
Thas, Joseph A.; Thas, Koen
1
2021
Classification of 9-dimensional trilinear alternating forms over \(\mathrm{GF}(2)\). Zbl 1461.15016
Hora, Jan; Pudlák, Petr
1
2021
Jacobsthal sums and permutations of biquadratic residues. Zbl 1468.11010
Wu, Hai-Liang; She, Yue-Feng
1
2021
Algebraic geometry codes over abelian surfaces containing no absolutely irreducible curves of low genus. Zbl 1456.14056
Aubry, Yves; Berardini, Elena; Herbaut, Fabien; Perret, Marc
1
2021
On equivalence between known polynomial APN functions and power APN functions. Zbl 1460.94067
Wan, Qianhong; Qu, Longjiang; Li, Chao
1
2021
On trinomials of type \(X^{n+m}(1+AX^{m(q -1)}+BX^{n(q -1)})\), \(n,m\) odd, over \(\mathbb{F}_{q^2}\), \(q=2^{2s+1}\). Zbl 1484.11214
Bartoli, Daniele; Timpanella, Marco
1
2021
Several classes of complete permutation polynomials with Niho exponents. Zbl 1472.11300
Li, Lisha; Wang, Qiang; Xu, Yunge; Zeng, Xiangyong
1
2021
The Chebotarev density theorem for function fields – incomplete intervals. Zbl 1472.11287
Kurlberg, Pär; Rosenzweig, Lior
1
2021
Metrical properties for continued fractions of formal Laurent series. Zbl 1475.11140
Hu, Hui; Hussain, Mumtaz; Yu, Yueli
1
2021
An orbital construction of optimum distance flag codes. Zbl 1468.94476
Alonso-González, Clementa; Navarro-Pérez, Miguel Ángel; Soler-Escrivà, Xaro
1
2021
New binary self-dual codes of lengths \(56, 58, 64, 80\) and \(92\) from a modification of the four circulant construction. Zbl 1476.94036
Gildea, Joe; Korban, Adrian; Roberts, Adam M.
1
2021
Newton polygons of \(L\)-functions associated to Deligne polynomials. Zbl 1472.11302
Li, Jiyou
1
2021
New results on quasi-subfield polynomials. Zbl 1483.11258
Euler, Marie; Petit, Christophe
1
2021
Permutation properties of Dickson and Chebyshev polynomials with connections to number theory. Zbl 1489.11198
Bluher, Antonia W.
1
2021
Several classes of linear codes with few weights from the closed butterfly structure. Zbl 07418936
Hu, Zhao; Wang, Lisha; Li, Nian; Zeng, Xiangyong
1
2021
Elliptic curves over \(\mathbb{F}_p\) and determinants of Legendre matrices. Zbl 07418939
Wu, Hai-Liang
1
2021
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
12
2020
Determination of a class of permutation trinomials in characteristic three. Zbl 1461.11161
Hou, Xiang-dong; Tu, Ziran; Zeng, Xiangyong
11
2020
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
11
2020
On equivalence between known families of quadratic APN functions. Zbl 1458.94217
Budaghyan, Lilya; Calderini, Marco; Villa, Irene
11
2020
Group codes over fields are asymptotically good. Zbl 1470.94106
Borello, Martino; Willems, Wolfgang
7
2020
A modified Gilbert-Varshamov bound for self-dual quasi-twisted codes of index four. Zbl 1452.94120
Wu, Rongsheng; Shi, Minjia
6
2020
On a conjecture about a class of permutation quadrinomials. Zbl 1478.11146
Li, Kangquan; Qu, Longjiang; Li, Chao; Chen, Hao
6
2020
Minimal linear codes from Maiorana-McFarland functions. Zbl 1469.94148
Xu, Guangkui; Qu, Longjiang; Cao, Xiwang
4
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
4
2020
On planes through points off the twisted cubic in \(\mathrm{PG}(3,q)\) and multiple covering codes. Zbl 1459.51004
Bartoli, Daniele; Davydov, Alexander A.; Marcugini, Stefano; Pambianco, Fernanda
4
2020
Flag codes from planar spreads in network coding. Zbl 1464.94081
Alonso-González, Clementa; Navarro-Pérez, Miguel Ángel; Soler-Escrivà, Xaro
4
2020
Some new forms of permutation polynomials based on the AGW criterion. Zbl 1433.05011
Li, Zengxiang; Wang, Miao; Wu, Jianhua; Zhu, Xishun
3
2020
Permutation trinomials over \(\mathbb{F}_{q^3} \). Zbl 1431.05001
Bartoli, Daniele
3
2020
New linear codes with few weights derived from Kloosterman sums. Zbl 1452.94115
Hu, Zhao; Li, Nian; Zeng, Xiangyong
3
2020
Maximal nonassociativity via nearfields. Zbl 1484.20120
Drápal, Aleš; Lisoněk, Petr
3
2020
Asymptotically good \(\mathbb{Z}_{p^r} \mathbb{Z}_{p^s} \)-additive cyclic codes. Zbl 1457.94245
Yao, Ting; Zhu, Shixin; Kai, Xiaoshan
3
2020
Constructing new differentially 4-uniform permutations from known ones. Zbl 1461.11169
Sin, Yongho; Kim, Kwangyon; Kim, Ryul; Han, Songchol
3
2020
The differential spectrum of a ternary power mapping. Zbl 1475.11218
Xia, Yongbo; Zhang, Xianglai; Li, Chunlei; Helleseth, Tor
3
2020
New classes of optimal ternary cyclic codes with minimum distance four. Zbl 1434.94104
Zha, Zhengbang; Hu, Lei
3
2020
On some determinants involving Jacobi symbols. Zbl 1444.11240
Krachun, Dmitry; Petrov, Fedor; Sun, Zhi-Wei; Vsemirnov, Maxim
3
2020
Intersection distribution, non-hitting index and Kakeya sets in affine planes. Zbl 1447.51007
Li, Shuxing; Pott, Alexander
3
2020
Cameron-Liebler line classes in \(\mathrm{AG}(3,q)\). Zbl 1459.51002
D’haeseleer, Jozefien; Mannaert, Jonathan; Storme, Leo; Švob, A.
3
2020
Resolving sets for higher dimensional projective spaces. Zbl 1464.51008
Bartoli, Daniele; Kiss, György; Marcugini, Stefano; Pambianco, Fernanda
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
A structure theorem for finite fields. Zbl 1473.11222
Bluher, Antonia W.
3
2020
On a type of permutation rational functions over finite fields. Zbl 1456.11219
Hou, Xiang-dong; Sze, Christopher
3
2020
Counting solutions of special linear equations over finite fields. Zbl 1464.11135
Reis, Lucas
3
2020
Perfect linear complexity profile and apwenian sequences. Zbl 1464.11077
Allouche, Jean-Paul; Han, Guo-Niu; Niederreiter, Harald
3
2020
Some new results on dimension and Bose distance for various classes of BCH codes. Zbl 1469.94128
Cherchem, Ahmed; Jamous, Abdelillah; Liu, Hongwei; Maouche, Youcef
2
2020
Systematic maximum sum rank codes. Zbl 1444.15015
Almeida, Paulo; Martínez-Peñas, Umberto; Napp, Diego
2
2020
Unitary Cayley graphs of matrix rings over finite commutative rings. Zbl 1442.05088
Rattanakangwanwong, Jitsupat; Meemark, Yotsanan
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
Squares of matrix-product codes. Zbl 1452.94111
Cascudo, Ignacio; Gundersen, Jaron Skovsted; Ruano, Diego
2
2020
Hermitian codes and complete intersections. Zbl 1436.94119
Marcolla, Chiara; Roggero, Margherita
2
2020
On \(\mathbb{Z}_2 \mathbb{Z}_4\)-additive complementary dual codes and related LCD codes. Zbl 1452.94127
Benbelkacem, N.; Borges, J.; Dougherty, S. T.; Fernández-Córdoba, C.
2
2020
Local cyclicity of isogeny classes of abelian varieties defined over finite fields. Zbl 1482.11084
Giangreco-Maidana, Alejandro J.
2
2020
Optimal cyclic \((r, \delta )\) locally repairable codes with unbounded length. Zbl 1446.94178
Fang, Weijun; Fu, Fang-Wei
2
2020
On subfields of the second generalization of the GK maximal function field. Zbl 07189016
Beelen, Peter; Montanucci, Maria
2
2020
...and 1315 more Documents
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Cited by 3,996 Authors

59 Dinh, Hai Quang
59 Shparlinski, Igor E.
58 Bartoli, Daniele
58 Yue, Qin
54 Cao, Xiwang
54 Özbudak, Ferruh
54 Zeng, Xiangyong
53 Solé, Patrick
46 Hou, Xiang-Dong
46 Zhu, Shixin
42 Fu, Fangwei
41 Wang, Qiang (Steven)
36 Shi, Minjia
35 Dougherty, Steven T.
35 Harada, Masaaki
35 Hu, Lei
34 Cao, Yonglin
34 Helleseth, Tor
34 Winterhof, Arne
33 Storme, Leo
33 Xiang, Qing
32 Yildiz, Bahattin
31 Feng, Tao
31 Mesnager, Sihem
30 Carlet, Claude
29 Ding, Cunsheng
29 Li, Chengju
29 Niederreiter, Harald
28 Lee, Yoonjin
28 Maruta, Tatsuya
27 Cao, Yuan
27 Kaya, Abidin
27 Li, Nian
27 Marino, Giuseppe
27 Villarreal, Rafael Heraclio
26 Reis, Lucas
26 Sriboonchitta, Songsak
26 Zini, Giovanni
25 Polverino, Olga
25 Qu, Longjiang
24 Giulietti, Massimo
24 Meidl, Wilfried
24 Momihara, Koji
23 Gulliver, Thomas Aaron
23 Lavrauw, Michel
23 Montanucci, Maria
23 Panario, Daniel
22 Guo, Jun
22 Jitman, Somphong
22 Liu, Hongwei
22 Sharma, Anuradha
22 Tang, Chunming
22 Wang, Kaishun
21 Cossidente, Antonio
21 Dick, Josef
21 Geil, Olav
21 Marcugini, Stefano
21 Pambianco, Fernanda
21 Zha, Zhengbang
20 Beelen, Pieter Hendrik Turdus
20 Feng, Keqin
20 Yang, Shudi
19 Ballet, Stéphane
19 Cohen, Stephen D.
19 Gao, Jian
19 Pavese, Francesco
19 Wan, Daqing
19 Wu, Yansheng
19 Zhou, Zhengchun
19 Zullo, Ferdinando
18 Qi, Wenfeng
18 Szőnyi, Tamás
18 Van de Voorde, Geertrui
18 Xu, Guangkui
18 Yan, Haode
18 Zheng, Dabin
17 Chen, Zhixiong
17 Gildea, Joe
17 Giuzzi, Luca
17 Güneri, Cem
17 Kai, Xiaoshan
17 Kyureghyan, Gohar M.
17 Li, Chunlei
17 McGuire, Gary
17 Sheekey, John
17 Stănică, Pantelimon
16 De Bruyn, Bart
16 Guenda, Kenza
16 Katz, Nicholas Michael
16 Kim, Jon-Lark
16 Ling, San
16 Ostafe, Alina
16 Pasalic, Enes
16 Pott, Alexander
16 Vega, Gerardo
16 Wang, Xiaoqiang
16 Yan, Tongjiang
16 Zanella, Corrado
15 Budaghyan, Lilya
15 Calderini, Marco
...and 3,896 more Authors
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Cited in 373 Journals

1,003 Finite Fields and their Applications
539 Designs, Codes and Cryptography
276 Discrete Mathematics
227 Cryptography and Communications
158 Journal of Number Theory
134 Advances in Mathematics of Communications
126 Applicable Algebra in Engineering, Communication and Computing
103 Journal of Combinatorial Theory. Series A
75 Linear Algebra and its Applications
71 Discrete Applied Mathematics
61 Journal of Pure and Applied Algebra
60 Journal of Algebraic Combinatorics
60 International Journal of Number Theory
58 Journal of Algebra
54 Journal of Algebra and its Applications
50 Journal of Applied Mathematics and Computing
46 Mathematics of Computation
43 Journal of Complexity
42 European Journal of Combinatorics
41 Journal of Symbolic Computation
38 Communications in Algebra
38 Proceedings of the American Mathematical Society
30 Journal of Geometry
30 Science China. Mathematics
29 The Electronic Journal of Combinatorics
28 Bulletin of the Australian Mathematical Society
28 Discrete Mathematics, Algorithms and Applications
25 Journal de Théorie des Nombres de Bordeaux
25 Journal of Combinatorial Designs
24 Acta Arithmetica
22 Israel Journal of Mathematics
21 SIAM Journal on Discrete Mathematics
21 The Ramanujan Journal
21 Asian-European Journal of Mathematics
21 Journal of Algebra, Combinatorics, Discrete Structures and Applications
20 International Journal of Theoretical Physics
20 Problems of Information Transmission
20 Transactions of the American Mathematical Society
20 International Journal of Foundations of Computer Science
20 Matematicheskie Voprosy Kriptografii
18 Linear and Multilinear Algebra
18 Monatshefte für Mathematik
18 Turkish Journal of Mathematics
18 Advances in Geometry
18 Journal of Systems Science and Complexity
17 Journal of Mathematical Analysis and Applications
17 AIMS Mathematics
16 Information Sciences
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16 Computational and Applied Mathematics
15 Information Processing Letters
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15 Quantum Information Processing
14 Advances in Mathematics
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14 Bulletin of the Korean Mathematical Society
13 International Journal of Computer Mathematics
13 Journal of Mathematical Sciences (New York)
13 Comptes Rendus. Mathématique. Académie des Sciences, Paris
13 Prikladnaya Diskretnaya Matematika
12 Theoretical Computer Science
12 Research in the Mathematical Sciences
11 Mathematische Zeitschrift
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11 Korean Journal of Mathematics
10 Mathematische Annalen
10 Combinatorica
10 Acta Mathematica Sinica. English Series
10 Journal of Mathematical Cryptology
9 Rocky Mountain Journal of Mathematics
9 Archiv der Mathematik
9 Experimental Mathematics
9 Mathematical Problems in Engineering
9 Integers
9 Bulletin of the Malaysian Mathematical Sciences Society. Second Series
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9 Ars Mathematica Contemporanea
8 Indian Journal of Pure & Applied Mathematics
8 Mathematical Notes
8 Journal of Computational and Applied Mathematics
8 Discrete & Computational Geometry
8 Annals of Combinatorics
7 Applied Mathematics and Computation
7 Functiones et Approximatio. Commentarii Mathematici
7 Journal of the Korean Mathematical Society
7 Mathematika
7 Advances in Applied Mathematics
7 Forum Mathematicum
7 International Journal of Algebra and Computation
7 Discrete Mathematics and Applications
7 LMS Journal of Computation and Mathematics
7 Journal of the Australian Mathematical Society
7 Research in Number Theory
6 American Mathematical Monthly
6 Duke Mathematical Journal
6 Geometriae Dedicata
6 Manuscripta Mathematica
6 Results in Mathematics
6 Chinese Annals of Mathematics. Series B
6 Journal of Cryptology
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Cited in 56 Fields

2,798 Number theory (11-XX)
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842 Combinatorics (05-XX)
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43 Convex and discrete geometry (52-XX)
23 Harmonic analysis on Euclidean spaces (42-XX)
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