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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.
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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
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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)

Citations contained in zbMATH Open

1,291 Publications have been cited 9,367 times in 4,426 Documents Cited by Year
Permutation polynomials over finite fields – a survey of recent advances. Zbl 1325.11128
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A class of three-weight cyclic codes. Zbl 1305.94112
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2014
New cyclic difference sets with Singer parameters. Zbl 1043.05024
Dillon, J. F.; Dobbertin, Hans
2004
On constructing permutations of finite fields. Zbl 1281.11102
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2011
Permutation polynomials and applications to coding theory. Zbl 1107.11048
Laigle-Chapuy, Yann
2007
The weight distribution of a class of $$p$$-ary cyclic codes. Zbl 1206.94110
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2010
Weight distribution of some reducible cyclic codes. Zbl 1142.11084
Feng, Keqin; Luo, Jinquan
2008
On the classification and enumeration of self-dual codes. Zbl 1087.94023
Huffman, W. Cary
2005
Cyclic codes over the integers modulo $$p^m$$. Zbl 1055.94541
Kanwar, Pramod; López-Permouth, Sergio R.
1997
Repeated-root constacyclic codes of length. Zbl 1231.94071
Dinh, Hai Quang
2012
Self-dual codes over commutative Frobenius rings. Zbl 1213.94193
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2010
Low-discrepancy sequences and global function fields with many rational places. Zbl 0893.11029
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Constructing new APN functions from known ones. Zbl 1184.94228
Budaghyan, Lilya; Carlet, Claude; Leander, Gregor
2009
Weight distributions of cyclic codes with respect to pairwise coprime order elements. Zbl 1366.94641
Li, Chengju; Yue, Qin; Li, Fengwei
2014
Constacyclic codes over finite fields. Zbl 1272.94089
Chen, Bocong; Fan, Yun; Lin, Liren; Liu, Hongwei
2012
New generalized cyclotomy and its applications. Zbl 0908.11058
Ding, Cunsheng; Helleseth, Tor
1998
Permutation polynomials over finite fields from a powerful lemma. Zbl 1258.11100
Yuan, Pingzhi; Ding, Cunsheng
2011
On the linear ordering of some classes of negacyclic and cyclic codes and their distance distributions. Zbl 1129.94047
Dinh, Hai Quang
2008
New families of quadratic almost perfect nonlinear trinomials and multinomials. Zbl 1153.11058
Bracken, Carl; Byrne, Eimear; Markin, Nadya; McGuire, Gary
2008
Several classes of complete permutation polynomials. Zbl 1284.05012
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2014
Linear complexity of generalized cyclotomic binary sequences of order 2. Zbl 0908.11062
Ding, Cunsheng
1997
A highly nonlinear differentially 4 uniform power mapping that permutes fields of even degree. Zbl 1194.94182
Bracken, Carl; Leander, Gregor
2010
A new class of monomial bent functions. Zbl 1162.94004
Canteaut, Anne; Charpin, Pascale; Kyureghyan, Gohar M.
2008
A proof of the Welch and Niho conjectures on cross-correlations of binary $$m$$-sequences. Zbl 1027.94006
Hollmann, Henk D. L.; Xiang, Qing
2001
Two classes of permutation polynomials over finite fields. Zbl 1288.11111
Zha, Zhengbang; Hu, Lei
2012
Some new classes of permutation trinomials over finite fields with even characteristic. Zbl 1372.11108
Gupta, Rohit; Sharma, R. K.
2016
New classes of permutation binomials and permutation trinomials over finite fields. Zbl 1351.11078
Li, Kangquan; Qu, Longjiang; Chen, Xi
2017
Permutation polynomials of the $$(x^p - x+\delta)^s+L(x)$$. Zbl 1211.11136
Yuan, Jin; Ding, Cunsheng; Wang, Huaxiong; Pieprzyk, Josef
2008
Determination of a type of permutation trinomials over finite fields. II. Zbl 1343.11093
Hou, Xiang-Dong
2015
Minimal codes of prime-power length. Zbl 1053.94574
Pruthi, Manju; Arora, Suresh Kumar
1997
A class of constacyclic codes over a finite field. Zbl 1250.94067
2012
Further results on permutation polynomials over finite fields. Zbl 1297.11148
Yuan, Pingzhi; Ding, Cunsheng
2014
Codes over $$R_k$$, Gray maps and their binary images. Zbl 1213.94173
Dougherty, Steven T.; Yildiz, Bahattin; Karadeniz, Suat
2011
Idempotents in group algebras and minimal abelian codes. Zbl 1176.94075
Ferraz, Raul Antonio; Polcino Milies, César
2007
When does $$G(x)+\gamma \, \text{Tr}(H(x))$$ permute $$\mathbb F_{p^n}$$? Zbl 1229.11153
Charpin, Pascale; Kyureghyan, Gohar
2009
Linearized polynomials over finite fields revisited. Zbl 1345.11084
Wu, Baofeng; Liu, Zhuojun
2013
Binomial differentially 4 uniform permutations with high nonlinearity. Zbl 1267.94043
Bracken, Carl; Tan, Chik How; Tan, Yin
2012
Cyclic self-dual $$\mathbb Z_4$$-codes. Zbl 1053.94573
Pless, Vera; Solé, Patrick; Qian, Zhongqiang
1997
The weight distributions of a class of cyclic codes. Zbl 1271.94034
Xiong, Maosheng
2012
On constacyclic codes over finite chain rings. Zbl 1305.94097
Cao, Yonglin
2013
New Kloosterman sums identities over $$\mathbb F_{2^m}$$ for all $$m$$. Zbl 1081.11077
Helleseth, Tor; Zinoviev, Victor
2003
On $$x^{q+1}+ax+b$$. Zbl 1137.12300
Bluher, Antonia W.
2004
Further results on a class of permutation polynomials over finite fields. Zbl 1285.05004
Li, Nian; Helleseth, Tor; Tang, Xiaohu
2013
Cyclotomic numbers and primitive idempotents in the ring $$\mathrm{GF}(q)[x]/(x^{p^n} - 1)$$. Zbl 1075.11081
2004
Blocking sets in Desarguesian affine and projective planes. Zbl 0912.51004
Szőnyi, Tamás
1997
Further results on permutation trinomials over finite fields with even characteristic. Zbl 1362.05006
Zha, Zhengbang; Hu, Lei; Fan, Shuqin
2017
Reversed Dickson polynomials over finite fields. Zbl 1228.11174
Hou, Xiang-Dong; Mullen, Gary L.; Sellers, James A.; Yucas, Joseph L.
2009
Improved explicit estimates on the number of solutions of equations over a finite field. Zbl 1163.11329
Cafure, Antonio; Matera, Guillermo
2006
Perfect nonlinear binomials and their semifields. Zbl 1194.12003
Zha, Zhengbang; Kyureghyan, Gohar M.; Wang, Xueli
2009
Combinatorial designs and the theorem of Weil on multiplicative character sums. Zbl 1211.05022
Buratti, Marco; Pasotti, Anita
2009
Four classes of permutation polynomials of $$\mathbb F_{2^m}$$. Zbl 1167.11045
Yuan, Jin; Ding, Cunsheng
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
2015
Quasi-cyclic complementary dual codes. Zbl 1364.94605
Güneri, Cem; Özkaya, Buket; Solé, Patrick
2016
Minimal cyclic codes of length $$2p^n$$. Zbl 1098.94639
Arora, Suresh Kumar; Pruthi, Manju
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
2012
Type II codes over $$\mathbb F_4$$. Zbl 1009.94012
Gaborit, Philippe; Pless, Vera; Solé, Patrick; Atkin, Oliver
2002
Blackford, Thomas
2008
All two-weight irreducible cyclic codes? Zbl 1023.94016
Schmidt, Bernhard; White, Clinton
2002
Constructing new differentially 4-uniform permutations from the inverse function. Zbl 1305.94084
Zha, Zhengbang; Hu, Lei; Sun, Siwei
2014
On the structure of order domains. Zbl 1008.13007
Geil, Olav; Pellikaan, Ruud
2002
Minimal cyclic codes of length $$p^{n} q$$. Zbl 1038.94013
2003
Cyclic codes over $$\text{GR}(p^2,m)$$ of length $$p^k$$. Zbl 1175.94124
Kiah, Han Mao; Leung, Ka Hin; Ling, San
2008
Algebraic methods for parameterized codes and invariants of vanishing ideals over finite fields. Zbl 1209.13037
Rentería-Márquez, Carlos; Simis, Aron; Villarreal, Rafael H.
2011
On complementary-dual quasi-cyclic codes. Zbl 1165.94009
Esmaeili, M.; Yari, S.
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
2017
Quasi-twisted codes with constacyclic constituent codes. Zbl 1339.94090
Shi, Minjia; Zhang, Yiping
2016
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
2015
Constructions of $$(t,m,s)$$-nets and $$(t,s)$$-sequences. Zbl 1087.11051
Niederreiter, Harald
2005
The multiple-recursive matrix method for pseudorandom number generation. Zbl 0823.11041
Niederreiter, Harald
1995
On the subset sum problem over finite fields. Zbl 1189.11058
Li, Jiyou; Wan, Daqing
2008
The construction of Cameron-Liebler line classes in $$PG(3,q)$$. Zbl 0927.51012
Bruen, A. A.; Drudge, Keldon
1999
Reed-Muller-type codes over the Segre variety. Zbl 1020.94029
González-Sarabia, M.; Rentería, C.; Tapia-Recillas, H.
2002
On modular cyclic codes. Zbl 1130.94333
Dougherty, Steven T.; Park, Young Ho
2007
Sums of Betti numbers in arbitrary characteristic. Zbl 1068.14501
Katz, Nicholas M.
2001
On codes from norm-trace curves. Zbl 1032.94015
Geil, Olav
2003
On three weights in cyclic codes with two zeros. Zbl 1119.94016
McGuire, Gary
2004
Permutation and complete permutation polynomials. Zbl 1368.11126
Bassalygo, L. A.; Zinoviev, V. A.
2015
Linear codes over $$\mathbb Z_4+u\mathbb Z_4$$: MacWilliams identities, projections, and formally self-dual codes. Zbl 1292.94179
2014
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
2016
Curves with many points and multiplication complexity in any extension of $$\mathbb{F}_q$$. Zbl 0953.11022
Ballet, Stéphane
1999
Experimental constructions of self-dual codes. Zbl 1031.94016
Gaborit, Philippe; Otmani, Ayoub
2003
On the second Hamming weight of some Reed-Muller type codes. Zbl 1306.94118
Carvalho, Cícero
2013
The weight distribution of some irreducible cyclic codes. Zbl 1231.94074
2012
On quasi-twisted codes over finite fields. Zbl 1248.94116
Jia, Yan
2012
Repeated-root constacyclic codes of length $$2 \ell^m p^n$$. Zbl 1368.11133
Chen, Bocong; Dinh, Hai Q.; Liu, Hongwei
2015
A construction of linear codes and their complete weight enumerators. Zbl 1403.94115
Yang, Shudi; Kong, Xiangli; Tang, Chunming
2017
Two classes of two-weight linear codes. Zbl 1338.94100
Heng, Ziling; Yue, Qin
2016
Evaluation codes from order domain theory. Zbl 1136.94010
Andersen, Henning E.; Geil, Olav
2008
A class of new permutation trinomials. Zbl 1380.05002
Tu, Ziran; Zeng, Xiangyong; Li, Chunlei; Helleseth, Tor
2018
Cyclotomy and permutation polynomials of large indices. Zbl 1331.11107
Wang, Qiang
2013
On towers and composita of towers of function fields over finite fields. Zbl 0946.11029
Garcia, Arnaldo; Stichtenoth, Henning; Thomas, Michael
1997
Explicit theorems on generator polynomials. Zbl 1087.11073
Cohen, Stephen D.
2005
Information sets and partial permutation decoding for codes from finite geometries. Zbl 1089.94044
Key, J. D.; McDonough, T. P.; Mavron, V. C.
2006
Some classes of monomial complete permutation polynomials over finite fields of characteristic two. Zbl 1314.11073
Wu, Gaofei; Li, Nian; Helleseth, Tor; Zhang, Yuqing
2014
The dimension and minimum distance of two classes of primitive BCH codes. Zbl 1402.94100
Ding, Cunsheng; Fan, Cuiling; Zhou, Zhengchun
2017
LCD codes over finite chain rings. Zbl 1392.94931
Liu, Xiusheng; Liu, Hualu
2015
Factorization of the cyclotomic polynomial $$x^{2^n}+1$$ over finite fields. Zbl 0912.11053
Meyn, Helmut
1996
On the existence of abelian Hadamard difference sets and a new family of difference sets. Zbl 0907.05013
Chen, Yu Qing
1997
Error-correcting codes from higher-dimensional varieties. Zbl 1033.94019
Hansen, Søren Have
2001
$$p$$-ary and $$q$$-ary versions of certain results about bent functions and resilient functions. Zbl 1076.11062
Hou, Xiang-Dong
2004
On construction and (non)existence of $$c$$-(almost) perfect nonlinear functions. Zbl 07331819
Bartoli, Daniele; Calderini, Marco
2021
Roos bound for skew cyclic codes in Hamming and rank metric. Zbl 07313136
Alfarano, Gianira N.; Lobillo, F. J.; Neri, Alessandro
2021
A natural graph of finite fields distinguishing between models. Zbl 07313142
Karlsson, Anders; Kuhn, Gaëtan
2021
Even points on an algebraic curve. Zbl 07313150
Czogała, Alfred; Koprowski, Przemysław
2021
Linear sets from projection of Desarguesian spreads. Zbl 1460.51004
Napolitano, Vito; Polverino, Olga; Zini, Giovanni; Zullo, Ferdinando
2021
The Chebotarev density theorem for function fields – incomplete intervals. Zbl 07357313
Kurlberg, Pär; Rosenzweig, Lior
2021
New results on quasi-subfield polynomials. Zbl 07390701
Euler, Marie; Petit, Christophe
2021
Galois lines for the Artin-Schreier-Mumford curve. Zbl 07390707
Fukasawa, Satoru
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
2020
Determination of a class of permutation trinomials in characteristic three. Zbl 1461.11161
Hou, Xiang-dong; Tu, Ziran; Zeng, Xiangyong
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
2020
Maximal nonassociativity via nearfields. Zbl 07174350
Drápal, Aleš; Lisoněk, Petr
2020
A modified Gilbert-Varshamov bound for self-dual quasi-twisted codes of index four. Zbl 1452.94120
Wu, Rongsheng; Shi, Minjia
2020
On equivalence between known families of quadratic APN functions. Zbl 1458.94217
Budaghyan, Lilya; Calderini, Marco; Villa, Irene
2020
New extremal binary self-dual codes of length 68 from generalized neighbors. Zbl 1465.94106
Gildea, Joe; Kaya, Abidin; Korban, Adrian; Yildiz, Bahattin
2020
Galois points for double-Frobenius nonclassical curves. Zbl 1439.14105
Borges, Herivelto; Fukasawa, Satoru
2020
Congruence preserving functions in the residue class rings of polynomials over finite fields. Zbl 1461.11165
Li, Xiumei; Sha, Min
2020
Squares of matrix-product codes. Zbl 1452.94111
Cascudo, Ignacio; Gundersen, Jaron Skovsted; Ruano, Diego
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
2020
Intersection distribution, non-hitting index and Kakeya sets in affine planes. Zbl 1447.51007
Li, Shuxing; Pott, Alexander
2020
Some new forms of permutation polynomials based on the AGW criterion. Zbl 1433.05011
Li, Zengxiang; Wang, Miao; Wu, Jianhua; Zhu, Xishun
2020
Permutation trinomials over $$\mathbb{F}_{q^3}$$. Zbl 1431.05001
Bartoli, Daniele
2020
Neighborhood of the supersingular elliptic curve isogeny graph at $$j = 0$$ and 1728. Zbl 1439.11148
Li, Songsong; Ouyang, Yi; Xu, Zheng
2020
New linear codes with few weights derived from Kloosterman sums. Zbl 1452.94115
Hu, Zhao; Li, Nian; Zeng, Xiangyong
2020
Hermitian codes and complete intersections. Zbl 1436.94119
Marcolla, Chiara; Roggero, Margherita
2020
Local cyclicity of isogeny classes of abelian varieties defined over finite fields. Zbl 07174360
Giangreco-Maidana, Alejandro J.
2020
Commutative association schemes obtained from twin prime powers, Fermat primes, Mersenne primes. Zbl 1433.05334
2020
Any small multiplicative subgroup is not a sumset. Zbl 1457.11017
Shkredov, I. D.
2020
Constructing new differentially 4-uniform permutations from known ones. Zbl 1461.11169
Sin, Yongho; Kim, Kwangyon; Kim, Ryul; Han, Songchol
2020
Irreducible factors of a class of permutation polynomials. Zbl 1456.11229
Kalaycı, Tekgül; Stichtenoth, Henning; Topuzoğlu, Alev
2020
A note on the stability of trinomials over finite fields. Zbl 1452.11141
2020
Optimal cyclic $$(r, \delta )$$ locally repairable codes with unbounded length. Zbl 1446.94178
Fang, Weijun; Fu, Fang-Wei
2020
A family of planar binomials in characteristic 2. Zbl 1452.11142
Bartoli, Daniele; Timpanella, Marco
2020
On the size of primitive sets in function fields. Zbl 1455.11165
Gómez-Colunga, Andrés; Kavaler, Charlotte; McNew, Nathan; Zhu, Mirilla
2020
The differential spectrum of a ternary power mapping. Zbl 07189007
Xia, Yongbo; Zhang, Xianglai; Li, Chunlei; Helleseth, Tor
2020
On the equational graphs over finite fields. Zbl 1437.05088
Mans, Bernard; Sha, Min; Smith, Jeffrey; Sutantyo, Daniel
2020
On subfields of the second generalization of the GK maximal function field. Zbl 07189016
Beelen, Peter; Montanucci, Maria
2020
New classes of optimal ternary cyclic codes with minimum distance four. Zbl 1434.94104
Zha, Zhengbang; Hu, Lei
2020
A reduction theorem for the existence of $$\ast$$-clean finite group rings. Zbl 1437.16019
Chen, Bocong; Huang, Jing
2020
Finite and symmetrized colored multiple zeta values. Zbl 1451.11097
Singer, Johannes; Zhao, Jianqiang
2020
Systematic maximum sum rank codes. Zbl 1444.15015
Almeida, Paulo; Martínez-Peñas, Umberto; Napp, Diego
2020
On inverses of some permutation polynomials over finite fields of characteristic three. Zbl 07242795
Zheng, Yanbin; Wang, Fu; Wang, Libo; Wei, Wenhong
2020
A new extension theorem for ternary linear codes and its application. Zbl 1464.94072
Kanda, Hitoshi
2020
A structure theorem for finite fields. Zbl 07312714
Bluher, Antonia W.
2020
Several classes of complete permutation polynomials over finite fields of even characteristic. Zbl 1459.05003
Tu, Ziran; Zeng, Xiangyong; Mao, Jinxiu; Zhou, Junchao
2020
Group codes over fields are asymptotically good. Zbl 07312720
Borello, Martino; Willems, Wolfgang
2020
New examples of maximal curves with low genus. Zbl 1456.11115
Bartoli, Daniele; Giulietti, Massimo; Kawakita, Motoko; Montanucci, Maria
2020
Flag codes from planar spreads in network coding. Zbl 1464.94081
Alonso-González, Clementa; Navarro-Pérez, Miguel Ángel; Soler-Escrivà, Xaro
2020
Counting solutions of special linear equations over finite fields. Zbl 1464.11135
Reis, Lucas
2020
Perfect linear complexity profile and apwenian sequences. Zbl 1464.11077
Allouche, Jean-Paul; Han, Guo-Niu; Niederreiter, Harald
2020
A characterization of linearized polynomials with maximum kernel. Zbl 1411.11127
Csajbók, Bence; Marino, Giuseppe; Polverino, Olga; Zullo, Ferdinando
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
2019
A characterization of the number of roots of linearized and projective polynomials in the field of coefficients. Zbl 07067780
McGuire, Gary; Sheekey, John
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
2019
Two-weight and three-weight linear codes based on Weil sums. Zbl 1448.94264
Jian, Gaopeng; Lin, Zhouchen; Feng, Rongquan
2019
Two types of permutation polynomials with special forms. Zbl 1432.11178
Zheng, Dabin; Yuan, Mu; Yu, Long
2019
Quadratic residues and related permutations and identities. Zbl 1458.11004
Sun, Zhi-Wei
2019
New entanglement-assisted quantum codes from $$k$$-Galois dual codes. Zbl 1404.94138
Liu, Xiusheng; Yu, Long; Hu, Peng
2019
On isogeny graphs of supersingular elliptic curves over finite fields. Zbl 1436.11067
2019
On some determinants with Legendre symbol entries. Zbl 1411.11030
Sun, Zhi-Wei
2019
Double circulant LCD codes over $$\mathbb{Z}_4$$. Zbl 1456.94138
Shi, Minjia; Huang, Daitao; Sok, Lin; Solé, Patrick
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
2019
Construction of MDS self-dual codes over finite fields. Zbl 1421.94096
Lebed, Khawla; Liu, Hongwei; Luo, Jinquan
2019
On an open problem about a class of optimal ternary cyclic codes. Zbl 1421.94102
Han, Dongchun; Yan, Haode
2019
Galois lines for the Giulietti-Korchmáros curve. Zbl 1420.14067
Fukasawa, Satoru; Higashine, Kazuki
2019
A rigid local system with monodromy group $$2.J_{2}$$. Zbl 1467.11115
Katz, Nicholas M.; Rojas-León, Antonio
2019
On CCZ-equivalence, extended-affine equivalence, and function twisting. Zbl 1411.94052
Canteaut, Anne; Perrin, Léo
2019
Rigid local systems and finite symplectic groups. Zbl 1459.11225
Katz, Nicholas M.; Tiep, Pham Huu
2019
New $$\ast$$-clean finite group rings under the conjugate involution. Zbl 1422.16024
Wu, Yansheng; Yue, Qin; Tang, Gaohua
2019
On Mersenne polynomials over $$\mathbb{F}_2$$. Zbl 1459.11231
Gallardo, Luis H.; Rahavandrainy, Olivier
2019
A characterization of cyclic subspace codes via subspace polynomials. Zbl 07067775
Zhao, Wei; Tang, Xilin
2019
Further results on complete permutation monomials over finite fields. Zbl 07067778
Feng, Xiutao; Lin, Dongdai; Wang, Liping; Wang, Qiang
2019
Birational embeddings of the Hermitian, Suzuki and Ree curves with two Galois points. Zbl 1423.14212
Fukasawa, Satoru
2019
Loops of isogeny graphs of supersingular elliptic curves at $$j=0$$. Zbl 1450.11060
Ouyang, Yi; Xu, Zheng
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
2019
New classes of complete permutation polynomials. Zbl 1401.05016
Li, Lisha; Li, Chaoyun; Li, Chunlei; Zeng, Xiangyong
2019
The subfield codes of hyperoval and conic codes. Zbl 1411.51005
Heng, Ziling; Ding, Cunsheng
2019
Additive codes over Galois rings. Zbl 1411.11136
2019
A classification of permutation polynomials of degree 7 over finite fields. Zbl 1444.11238
Fan, Xiang
2019
A revisit to a class of permutation quadrinomials. Zbl 1430.05002
Tu, Ziran; Liu, Xianping; Zeng, Xiangyong
2019
Affine Cartesian codes with complementary duals. Zbl 07067776
López, Hiram H.; Manganiello, Felice; Matthews, Gretchen L.
2019
On the cyclicity of the rational points group of abelian varieties over finite fields. Zbl 07067784
Giangreco-Maidana, Alejandro J.
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
2019
Generalized Weierstrass semigroups and their Poincaré series. Zbl 1457.14077
Moyano-Fernández, J. J.; Tenório, W.; Torres, F.
2019
Constructing self-orthogonal and Hermitian self-orthogonal codes via weighing matrices and orbit matrices. Zbl 1403.94124
Crnković, Dean; Egan, Ronan; Švob, Andrea
2019
Some binary BCH codes with length $$n = 2^m + 1$$. Zbl 1404.94147
Liu, Yang; Li, Ruihu; Fu, Qiang; Lu, Liangdong; Rao, Yi
2019
On the minimum distance of negacyclic codes with two zeros. Zbl 1404.94150
Zhou, Yajing; Kai, Xiaoshan; Zhu, Shixin; Li, Jin
2019
Multifold factorizations of cyclic groups into subsets. Zbl 1407.05045
Yamada, Kohei; Mishima, Miwako; Satoh, Junya; Jimbo, Masakazu
2019
New links between nonlinearity and differential uniformity. Zbl 1411.94053
Charpin, Pascale; Peng, Jie
2019
Derivations on group algebras with coding theory applications. Zbl 1431.13029
Creedon, Leo; Hughes, Kieran
2019
Vector subspaces of finite fields and star operations on pseudo-valuation domains. Zbl 1408.13007
Spirito, Dario
2019
Critical groups of Van Lint-Schrijver cyclotomic strongly regular graphs. Zbl 1421.05098
Pantangi, Venkata Raghu Tej
2019
The $$k$$-subset sum problem over finite fields of characteristic 2. Zbl 1454.11220
Choe, Hyok; Choe, Chunghyok
2019
Conical Kakeya and Nikodym sets in finite fields. Zbl 1434.52019
Warren, Audie; Winterhof, Arne
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
2019
Skew multi-twisted codes over finite fields and their Galois duals. Zbl 1421.94107
2019
Double sums of Kloosterman sums in finite fields. Zbl 1447.11117
Macourt, Simon; Shparlinski, Igor E.
2019
Quadratic residues and related permutations. Zbl 1427.11007
Wu, Hai-Liang
2019
Determining the Walsh spectra of Taniguchi’s and related APN-functions. Zbl 1427.11141
Anbar, Nurdagül; Kalaycı, Tekgül; Meidl, Wilfried
2019
On some cyclic codes of length $$\frac{q^{2m} - 1}{q + 1}$$. Zbl 1427.94104
Wu, Peng; Li, Chengju; Peng, Wei
2019
...and 1191 more Documents
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Cited by 3,483 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 ...and 3,383 more Authors
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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 16 Journal of Algebra, Combinatorics, Discrete Structures and Applications 16 Matematicheskie Voprosy Kriptografii 15 Quantum Information Processing 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 11 Theoretical Computer Science 11 Journal of Mathematical Sciences (New York) 11 Turkish Journal of Mathematics 11 Korean Journal of Mathematics 10 International Journal of Theoretical Physics 10 Acta Mathematica Sinica. English Series 10 Journal of Mathematical Cryptology 9 Mathematische Annalen 9 Mathematische Zeitschrift 9 Mathematical Problems in Engineering 9 Integers 9 Journal of Mathematics 8 Mathematical Notes 8 Rocky Mountain Journal of Mathematics 8 Archiv der Mathematik 8 Journal of Computational and Applied Mathematics 8 Discrete & Computational Geometry 8 Experimental Mathematics 8 Computational and Applied Mathematics 8 Annals of Combinatorics 8 Bulletin of the Brazilian Mathematical Society. New Series 8 Ars Mathematica Contemporanea 7 Mathematika 7 Combinatorica 7 LMS Journal of Computation and Mathematics 6 American Mathematical Monthly 6 Duke Mathematical Journal 6 Manuscripta Mathematica 6 Advances in Applied Mathematics 6 Journal of Cryptology 6 International Journal of Algebra and Computation 6 The Electronic Journal of Combinatorics 6 Journal of Applied Mathematics 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 5 Results in Mathematics 5 Chinese Annals of Mathematics. Series B 5 Discrete Mathematics and Applications 5 Proceedings of the Indian Academy of Sciences. Mathematical Sciences ...and 248 more Journals
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Cited in 56 Fields

 2,459 Number theory (11-XX) 2,025 Information and communication theory, circuits (94-XX) 736 Combinatorics (05-XX) 641 Algebraic geometry (14-XX) 460 Geometry (51-XX) 314 Field theory and polynomials (12-XX) 216 Group theory and generalizations (20-XX) 191 Commutative algebra (13-XX) 115 Numerical analysis (65-XX) 114 Computer science (68-XX) 106 Order, lattices, ordered algebraic structures (06-XX) 97 Associative rings and algebras (16-XX) 94 Linear and multilinear algebra; matrix theory (15-XX) 75 Quantum theory (81-XX) 64 Special functions (33-XX) 56 Dynamical systems and ergodic theory (37-XX) 38 Convex and discrete geometry (52-XX) 19 Harmonic analysis on Euclidean spaces (42-XX) 18 Nonassociative rings and algebras (17-XX) 16 Probability theory and stochastic processes (60-XX) 15 Functional analysis (46-XX) 13 Mathematical logic and foundations (03-XX) 12 Statistics (62-XX) 11 Topological groups, Lie groups (22-XX) 8 Real functions (26-XX) 8 Measure and integration (28-XX) 8 Ordinary differential equations (34-XX) 8 Abstract harmonic analysis (43-XX) 7 Functions of a complex variable (30-XX) 7 Several complex variables and analytic spaces (32-XX) 7 Approximations and expansions (41-XX) 6 History and biography (01-XX) 6 Operations research, mathematical programming (90-XX) 5 Operator theory (47-XX) 5 Manifolds and cell complexes (57-XX) 5 Statistical mechanics, structure of matter (82-XX) 5 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 5 Systems theory; control (93-XX) 4 Category theory; homological algebra (18-XX) 4 General topology (54-XX) 4 Biology and other natural sciences (92-XX) 2 $$K$$-theory (19-XX) 2 Sequences, series, summability (40-XX) 2 Integral transforms, operational calculus (44-XX) 2 Differential geometry (53-XX) 2 Mechanics of particles and systems (70-XX) 2 Relativity and gravitational theory (83-XX) 1 General and overarching topics; collections (00-XX) 1 General algebraic systems (08-XX) 1 Potential theory (31-XX) 1 Partial differential equations (35-XX) 1 Difference and functional equations (39-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Algebraic topology (55-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Mathematics education (97-XX)