## 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.
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### Latest Issues

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### 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
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### 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)

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2011
New cyclic difference sets with Singer parameters. Zbl 1043.05024
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2004
A class of three-weight cyclic codes. Zbl 1305.94112
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2014
Permutation polynomials and applications to coding theory. Zbl 1107.11048
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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
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2008
On the classification and enumeration of self-dual codes. Zbl 1087.94023
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Cyclic codes over the integers modulo $$p^m$$. Zbl 1055.94541
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1997
Weight distributions of cyclic codes with respect to pairwise coprime order elements. Zbl 1366.94641
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2014
Repeated-root constacyclic codes of length. Zbl 1231.94071
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2012
Constructing new APN functions from known ones. Zbl 1184.94228
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2009
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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A highly nonlinear differentially 4 uniform power mapping that permutes fields of even degree. Zbl 1194.94182
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2010
Permutation polynomials over finite fields from a powerful lemma. Zbl 1258.11100
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2011
New generalized cyclotomy and its applications. Zbl 0908.11058
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1998
Constacyclic codes over finite fields. Zbl 1272.94089
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2012
New classes of permutation binomials and permutation trinomials over finite fields. Zbl 1351.11078
Li, Kangquan; Qu, Longjiang; Chen, Xi
2017
On the linear ordering of some classes of negacyclic and cyclic codes and their distance distributions. Zbl 1129.94047
Dinh, Hai Quang
2008
Several classes of complete permutation polynomials. Zbl 1284.05012
Tu, Ziran; Zeng, Xiangyong; Hu, Lei
2014
New families of quadratic almost perfect nonlinear trinomials and multinomials. Zbl 1153.11058
Bracken, Carl; Byrne, Eimear; Markin, Nadya; McGuire, Gary
2008
Quasi-cyclic complementary dual codes. Zbl 1364.94605
Güneri, Cem; Özkaya, Buket; Solé, Patrick
2016
Linearized polynomials over finite fields revisited. Zbl 1345.11084
Wu, Baofeng; Liu, Zhuojun
2013
Some new classes of permutation trinomials over finite fields with even characteristic. Zbl 1372.11108
Gupta, Rohit; Sharma, R. K.
2016
Linear complexity of generalized cyclotomic binary sequences of order 2. Zbl 0908.11062
Ding, Cunsheng
1997
On $$x^{q+1}+ax+b$$. Zbl 1137.12300
Bluher, Antonia W.
2004
Permutation polynomials of the $$(x^p - x+\delta)^s+L(x)$$. Zbl 1211.11136
Yuan, Jin; Ding, Cunsheng; Wang, Huaxiong; Pieprzyk, Josef
2008
Idempotents in group algebras and minimal abelian codes. Zbl 1176.94075
Ferraz, Raul Antonio; Polcino Milies, César
2007
A new class of monomial bent functions. Zbl 1162.94004
Canteaut, Anne; Charpin, Pascale; Kyureghyan, Gohar M.
2008
Binomial differentially 4 uniform permutations with high nonlinearity. Zbl 1267.94043
Bracken, Carl; Tan, Chik How; Tan, Yin
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
2001
Two classes of permutation polynomials over finite fields. Zbl 1288.11111
Zha, Zhengbang; Hu, Lei
2012
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
Further results on permutation polynomials over finite fields. Zbl 1297.11148
Yuan, Pingzhi; Ding, Cunsheng
2014
When does $$G(x)+\gamma \, \text{Tr}(H(x))$$ permute $$\mathbb F_{p^n}$$? Zbl 1229.11153
Charpin, Pascale; Kyureghyan, Gohar
2009
Codes over $$R_k$$, Gray maps and their binary images. Zbl 1213.94173
Dougherty, Steven T.; Yildiz, Bahattin; Karadeniz, Suat
2011
Cyclic self-dual $$\mathbb Z_4$$-codes. Zbl 1053.94573
Pless, Vera; Solé, Patrick; Qian, Zhongqiang
1997
A class of constacyclic codes over a finite field. Zbl 1250.94067
2012
New Kloosterman sums identities over $$\mathbb F_{2^m}$$ for all $$m$$. Zbl 1081.11077
Helleseth, Tor; Zinoviev, Victor
2003
Further results on a class of permutation polynomials over finite fields. Zbl 1285.05004
Li, Nian; Helleseth, Tor; Tang, Xiaohu
2013
Improved explicit estimates on the number of solutions of equations over a finite field. Zbl 1163.11329
Cafure, Antonio; Matera, Guillermo
2006
Quasi-twisted codes with constacyclic constituent codes. Zbl 1339.94090
Shi, Minjia; Zhang, Yiping
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
2017
On constacyclic codes over finite chain rings. Zbl 1305.94097
Cao, Yonglin
2013
Perfect nonlinear binomials and their semifields. Zbl 1194.12003
Zha, Zhengbang; Kyureghyan, Gohar M.; Wang, Xueli
2009
The weight distributions of a class of cyclic codes. Zbl 1271.94034
Xiong, Maosheng
2012
Cyclotomic numbers and primitive idempotents in the ring $$\mathrm{GF}(q)[x]/(x^{p^n} - 1)$$. Zbl 1075.11081
2004
Four classes of permutation polynomials of $$\mathbb F_{2^m}$$. Zbl 1167.11045
Yuan, Jin; Ding, Cunsheng
2007
Further results on permutation trinomials over finite fields with even characteristic. Zbl 1362.05006
Zha, Zhengbang; Hu, Lei; Fan, Shuqin
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
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
2015
Type II codes over $$\mathbb F_4$$. Zbl 1009.94012
Gaborit, Philippe; Pless, Vera; Solé, Patrick; Atkin, Oliver
2002
Reversed Dickson polynomials over finite fields. Zbl 1228.11174
Hou, Xiang-Dong; Mullen, Gary L.; Sellers, James A.; Yucas, Joseph L.
2009
Minimal linear codes over finite fields. Zbl 1401.94262
Heng, Ziling; Ding, Cunsheng; Zhou, Zhengchun
2018
Combinatorial designs and the theorem of Weil on multiplicative character sums. Zbl 1211.05022
Buratti, Marco; Pasotti, Anita
2009
Constructing new differentially 4-uniform permutations from the inverse function. Zbl 1305.94084
Zha, Zhengbang; Hu, Lei; Sun, Siwei
2014
Minimal cyclic codes of length $$2p^n$$. Zbl 1098.94639
Arora, Suresh Kumar; Pruthi, Manju
1999
All two-weight irreducible cyclic codes? Zbl 1023.94016
Schmidt, Bernhard; White, Clinton
2002
Blocking sets in Desarguesian affine and projective planes. Zbl 0912.51004
Szőnyi, Tamás
1997
On complementary-dual quasi-cyclic codes. Zbl 1165.94009
Esmaeili, M.; Yari, S.
2009
Minimal cyclic codes of length $$p^{n} q$$. Zbl 1038.94013
2003
LCD codes over finite chain rings. Zbl 1392.94931
Liu, Xiusheng; Liu, Hualu
2015
Cyclic codes over $$\text{GR}(p^2,m)$$ of length $$p^k$$. Zbl 1175.94124
Kiah, Han Mao; Leung, Ka Hin; Ling, San
2008
On the subset sum problem over finite fields. Zbl 1189.11058
Li, Jiyou; Wan, Daqing
2008
Blackford, Thomas
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
2015
The multiple-recursive matrix method for pseudorandom number generation. Zbl 0823.11041
Niederreiter, Harald
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
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.
2011
The construction of Cameron-Liebler line classes in $$PG(3,q)$$. Zbl 0927.51012
Bruen, A. A.; Drudge, Keldon
1999
A class of new permutation trinomials. Zbl 1380.05002
Tu, Ziran; Zeng, Xiangyong; Li, Chunlei; Helleseth, Tor
2018
On the structure of order domains. Zbl 1008.13007
Geil, Olav; Pellikaan, Ruud
2002
New maximum scattered linear sets of the projective line. Zbl 1401.51007
Csajbók, Bence; Marino, Giuseppe; Zullo, Ferdinando
2018
Linear codes over $$\mathbb Z_4+u\mathbb Z_4$$: MacWilliams identities, projections, and formally self-dual codes. Zbl 1292.94179
2014
On modular cyclic codes. Zbl 1130.94333
Dougherty, Steven T.; Park, Young Ho
2007
Constructions of optimal LCD codes over large finite fields. Zbl 1436.94115
Sok, Lin; Shi, Minjia; Solé, Patrick
2018
Experimental constructions of self-dual codes. Zbl 1031.94016
Gaborit, Philippe; Otmani, Ayoub
2003
On three weights in cyclic codes with two zeros. Zbl 1119.94016
McGuire, Gary
2004
Power sums with applications to multizeta and zeta zero distribution for $$\mathbb F_q[t]$$. Zbl 1228.11139
Thakur, Dinesh S.
2009
Constructions of $$(t,m,s)$$-nets and $$(t,s)$$-sequences. Zbl 1087.11051
Niederreiter, Harald
2005
Sums of Betti numbers in arbitrary characteristic. Zbl 1068.14501
Katz, Nicholas M.
2001
Two classes of two-weight linear codes. Zbl 1338.94100
Heng, Ziling; Yue, Qin
2016
Supercongruences involving products of two binomial coefficients. Zbl 1331.11012
Sun, Zhi-Wei
2013
A construction of linear codes and their complete weight enumerators. Zbl 1403.94115
Yang, Shudi; Kong, Xiangli; Tang, Chunming
2017
On quasi-twisted codes over finite fields. Zbl 1248.94116
Jia, Yan
2012
Reed-Muller-type codes over the Segre variety. Zbl 1020.94029
González-Sarabia, M.; Rentería, C.; Tapia-Recillas, H.
2002
Curves with many points and multiplication complexity in any extension of $$\mathbb{F}_q$$. Zbl 0953.11022
Ballet, Stéphane
1999
The dimension and minimum distance of two classes of primitive BCH codes. Zbl 1402.94100
Ding, Cunsheng; Fan, Cuiling; Zhou, Zhengchun
2017
Cyclotomy and permutation polynomials of large indices. Zbl 1331.11107
Wang, Qiang
2013
Repeated-root constacyclic codes of length $$2 \ell^m p^n$$. Zbl 1368.11133
Chen, Bocong; Dinh, Hai Q.; Liu, Hongwei
2015
Permutation and complete permutation polynomials. Zbl 1368.11126
Bassalygo, L. A.; Zinoviev, V. A.
2015
On codes from norm-trace curves. Zbl 1032.94015
Geil, Olav
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
2014
The weight distribution of some irreducible cyclic codes. Zbl 1231.94074
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
2017
A characterization of linearized polynomials with maximum kernel. Zbl 1411.11127
Csajbók, Bence; Marino, Giuseppe; Polverino, Olga; Zullo, Ferdinando
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
2015
On a conjecture about a class of permutation trinomials. Zbl 1404.11133
Bartoli, Daniele
2018
Investigating the exceptionality of scattered polynomials. Zbl 1480.11153
Bartoli, Daniele; Zini, Giovanni; Zullo, Ferdinando
2022
On pencils of cubics on the projective line over finite fields of characteristic $$>3$$. Zbl 07457357
Günay, Gülizar; Lavrauw, Michel
2022
Counting irreducible polynomials with prescribed coefficients over a finite field. Zbl 07505590
Gao, Zhicheng; Kuttner, Simon; Wang, Qiang
2022
On the clique number of Paley graphs of prime power order. Zbl 07432398
Yip, Chi Hoi
2022
Pure Gauss sums and skew Hadamard difference sets. Zbl 1475.11215
Momihara, Koji
2022
On the constructions of MDS self-dual codes via cyclotomy. Zbl 1486.94188
Zhang, Aixian; Feng, Keqin
2022
On sums and products of combinatorial cubes. Zbl 1487.11011
Shkredov, I. D.
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.
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
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
2022
Simplified isogeny formulas on twisted Jacobi quartic curves. Zbl 1487.14078
Hu, Zhi; Liu, Zhe; Wang, Lin; Zhou, Zijian
2022
Splitting subspaces of linear operators over finite fields. Zbl 1484.11225
Aggarwal, Divya; Ram, Samrith
2022
A class of linear sets in $$\mathrm{PG} (1,q^5)$$. Zbl 1482.51004
2022
The additive index of polynomials over finite fields. Zbl 1486.12003
Reis, Lucas; Wang, Qiang
2022
Sum-rank product codes and bounds on the minimum distance. Zbl 07505588
Alfarano, Gianira N.; Lobillo, F. J.; Neri, Alessandro; Wachter-Zeh, Antonia
2022
Extending two families of maximum rank distance codes. Zbl 07523464
Neri, Alessandro; Santonastaso, Paolo; Zullo, Ferdinando
2022
A further study of quadratic APN permutations in dimension nine. Zbl 07523466
Beierle, Christof; Carlet, Claude; Leander, Gregor; Perrin, Léo
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.
2022
On construction and (non)existence of $$c$$-(almost) perfect nonlinear functions. Zbl 1473.11224
Bartoli, Daniele; Calderini, Marco
2021
Solving $$X^{q+1}+X+a=0$$ over finite fields. Zbl 1476.12001
Kim, Kwang Ho; Choe, Junyop; Mesnager, Sihem
2021
The parameters of minimal linear codes. Zbl 1468.94431
Lu, Wei; Wu, Xia; Cao, Xiwang
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
2021
On oriented supersingular elliptic curves. Zbl 1469.11177
Onuki, Hiroshi
2021
A family of permutation trinomials over $$\mathbb{F}_{q^2}$$. Zbl 1472.11295
Bartoli, Daniele; Timpanella, Marco
2021
New point compression method for elliptic $$\mathbb{F}_{q^2}$$-curves of $$j$$-invariant 0. Zbl 1467.14067
Koshelev, Dmitrii
2021
Two classes of permutation trinomials with Niho exponents. Zbl 1459.05005
Zheng, Lijing; Kan, Haibin; Peng, Jie; Tang, Deng
2021
Even points on an algebraic curve. Zbl 1468.11145
Czogała, Alfred; Koprowski, Przemysław
2021
New generalized almost perfect nonlinear functions. Zbl 1459.94138
Özbudak, Ferruh; Sălăgean, Ana
2021
Linear sets from projection of Desarguesian spreads. Zbl 1460.51004
Napolitano, Vito; Polverino, Olga; Zini, Giovanni; Zullo, Ferdinando
2021
On a classification of the automorphism groups of polarized abelian surfaces over finite fields. Zbl 1470.11161
Hwang, WonTae
2021
New Wilson-like theorems arising from Dickson polynomials. Zbl 1478.11142
Bluher, Antonia W.
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
2021
On the constructions of $$n$$-cycle permutations. Zbl 1468.11234
Chen, Yuting; Wang, Liqi; Zhu, Shixin
2021
On $$\ast$$-clean group rings over finite fields. Zbl 1473.16021
Han, Dongchun; Zhang, Hanbin
2021
Existence of primitive 2-normal elements in finite fields. Zbl 1467.11117
Aguirre, Josimar J. R.; Neumann, Victor G. L.
2021
Weight distributions and weight hierarchies of two classes of binary linear codes. Zbl 1467.94052
Li, Fei; Li, Xiumei
2021
Analogues of Alladi’s formula over global function fields. Zbl 1479.11201
Duan, Lian; Wang, Biao; Yi, Shaoyun
2021
LCD codes from tridiagonal Toeplitz matrices. Zbl 1473.94143
Shi, Minjia; Özbudak, Ferruh; Xu, Li; Solé, Patrick
2021
Galois lines for the Artin-Schreier-Mumford curve. Zbl 1470.14061
Fukasawa, Satoru
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
2021
Partially scattered linearized polynomials and rank metric codes. Zbl 1476.51006
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
2021
Roos bound for skew cyclic codes in Hamming and rank metric. Zbl 07313136
Alfarano, Gianira N.; Lobillo, F. J.; Neri, Alessandro
2021
A multivariate cryptosystem inspired by random linear codes. Zbl 1465.94088
Smith-Tone, Daniel; Tone, Cristina
2021
A natural graph of finite fields distinguishing between models. Zbl 1473.12004
Karlsson, Anders; Kuhn, Gaëtan
2021
Covers of generalized quadrangles. II: Kantor-Knuth covers and embedded ovoids. Zbl 1461.51003
Thas, Joseph A.; Thas, Koen
2021
Classification of 9-dimensional trilinear alternating forms over $$\mathrm{GF}(2)$$. Zbl 1461.15016
Hora, Jan; Pudlák, Petr
2021
Jacobsthal sums and permutations of biquadratic residues. Zbl 1468.11010
Wu, Hai-Liang; She, Yue-Feng
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
2021
On equivalence between known polynomial APN functions and power APN functions. Zbl 1460.94067
Wan, Qianhong; Qu, Longjiang; Li, Chao
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
2021
Several classes of complete permutation polynomials with Niho exponents. Zbl 1472.11300
Li, Lisha; Wang, Qiang; Xu, Yunge; Zeng, Xiangyong
2021
The Chebotarev density theorem for function fields – incomplete intervals. Zbl 1472.11287
Kurlberg, Pär; Rosenzweig, Lior
2021
Metrical properties for continued fractions of formal Laurent series. Zbl 1475.11140
Hu, Hui; Hussain, Mumtaz; Yu, Yueli
2021
An orbital construction of optimum distance flag codes. Zbl 1468.94476
Alonso-González, Clementa; Navarro-Pérez, Miguel Ángel; Soler-Escrivà, Xaro
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
2021
Newton polygons of $$L$$-functions associated to Deligne polynomials. Zbl 1472.11302
Li, Jiyou
2021
New results on quasi-subfield polynomials. Zbl 1483.11258
Euler, Marie; Petit, Christophe
2021
Permutation properties of Dickson and Chebyshev polynomials with connections to number theory. Zbl 1489.11198
Bluher, Antonia W.
2021
Several classes of linear codes with few weights from the closed butterfly structure. Zbl 07418936
Hu, Zhao; Wang, Lisha; Li, Nian; Zeng, Xiangyong
2021
Elliptic curves over $$\mathbb{F}_p$$ and determinants of Legendre matrices. Zbl 07418939
Wu, Hai-Liang
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
2020
Determination of a class of permutation trinomials in characteristic three. Zbl 1461.11161
Hou, Xiang-dong; Tu, Ziran; Zeng, Xiangyong
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
2020
On equivalence between known families of quadratic APN functions. Zbl 1458.94217
Budaghyan, Lilya; Calderini, Marco; Villa, Irene
2020
Group codes over fields are asymptotically good. Zbl 1470.94106
Borello, Martino; Willems, Wolfgang
2020
A modified Gilbert-Varshamov bound for self-dual quasi-twisted codes of index four. Zbl 1452.94120
Wu, Rongsheng; Shi, Minjia
2020
Li, Kangquan; Qu, Longjiang; Li, Chao; Chen, Hao
2020
Minimal linear codes from Maiorana-McFarland functions. Zbl 1469.94148
Xu, Guangkui; Qu, Longjiang; Cao, Xiwang
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
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
2020
Flag codes from planar spreads in network coding. Zbl 1464.94081
Alonso-González, Clementa; Navarro-Pérez, Miguel Ángel; Soler-Escrivà, Xaro
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
New linear codes with few weights derived from Kloosterman sums. Zbl 1452.94115
Hu, Zhao; Li, Nian; Zeng, Xiangyong
2020
Maximal nonassociativity via nearfields. Zbl 1484.20120
Drápal, Aleš; Lisoněk, Petr
2020
Asymptotically good $$\mathbb{Z}_{p^r} \mathbb{Z}_{p^s}$$-additive cyclic codes. Zbl 1457.94245
Yao, Ting; Zhu, Shixin; Kai, Xiaoshan
2020
Constructing new differentially 4-uniform permutations from known ones. Zbl 1461.11169
Sin, Yongho; Kim, Kwangyon; Kim, Ryul; Han, Songchol
2020
The differential spectrum of a ternary power mapping. Zbl 1475.11218
Xia, Yongbo; Zhang, Xianglai; Li, Chunlei; Helleseth, Tor
2020
New classes of optimal ternary cyclic codes with minimum distance four. Zbl 1434.94104
Zha, Zhengbang; Hu, Lei
2020
On some determinants involving Jacobi symbols. Zbl 1444.11240
Krachun, Dmitry; Petrov, Fedor; Sun, Zhi-Wei; Vsemirnov, Maxim
2020
Intersection distribution, non-hitting index and Kakeya sets in affine planes. Zbl 1447.51007
Li, Shuxing; Pott, Alexander
2020
Cameron-Liebler line classes in $$\mathrm{AG}(3,q)$$. Zbl 1459.51002
D&rsquo;haeseleer, Jozefien; Mannaert, Jonathan; Storme, Leo; Švob, A.
2020
Resolving sets for higher dimensional projective spaces. Zbl 1464.51008
Bartoli, Daniele; Kiss, György; Marcugini, Stefano; Pambianco, Fernanda
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
A structure theorem for finite fields. Zbl 1473.11222
Bluher, Antonia W.
2020
On a type of permutation rational functions over finite fields. Zbl 1456.11219
Hou, Xiang-dong; Sze, Christopher
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
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
2020
Systematic maximum sum rank codes. Zbl 1444.15015
Almeida, Paulo; Martínez-Peñas, Umberto; Napp, Diego
2020
Unitary Cayley graphs of matrix rings over finite commutative rings. Zbl 1442.05088
Rattanakangwanwong, Jitsupat; Meemark, Yotsanan
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
Hermitian codes and complete intersections. Zbl 1436.94119
Marcolla, Chiara; Roggero, Margherita
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.
2020
Local cyclicity of isogeny classes of abelian varieties defined over finite fields. Zbl 1482.11084
Giangreco-Maidana, Alejandro J.
2020
Optimal cyclic $$(r, \delta )$$ locally repairable codes with unbounded length. Zbl 1446.94178
Fang, Weijun; Fu, Fang-Wei
2020
On subfields of the second generalization of the GK maximal function field. Zbl 07189016
Beelen, Peter; Montanucci, Maria
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 16 Graphs and Combinatorics 16 Computational and Applied Mathematics 15 Information Processing Letters 15 Journal of Discrete Mathematical Sciences & Cryptography 15 Quantum Information Processing 14 Advances in Mathematics 14 Journal of Statistical Planning and Inference 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 11 Journal of Mathematics 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 9 Bulletin of the Brazilian Mathematical Society. New Series 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 ...and 273 more Journals
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### Cited in 56 Fields

 2,798 Number theory (11-XX) 2,348 Information and communication theory, circuits (94-XX) 842 Combinatorics (05-XX) 707 Algebraic geometry (14-XX) 507 Geometry (51-XX) 363 Field theory and polynomials (12-XX) 253 Group theory and generalizations (20-XX) 207 Commutative algebra (13-XX) 129 Computer science (68-XX) 124 Associative rings and algebras (16-XX) 122 Numerical analysis (65-XX) 112 Linear and multilinear algebra; matrix theory (15-XX) 110 Order, lattices, ordered algebraic structures (06-XX) 101 Quantum theory (81-XX) 78 Special functions (33-XX) 59 Dynamical systems and ergodic theory (37-XX) 43 Convex and discrete geometry (52-XX) 23 Harmonic analysis on Euclidean spaces (42-XX) 19 Nonassociative rings and algebras (17-XX) 18 Probability theory and stochastic processes (60-XX) 17 Functional analysis (46-XX) 16 Ordinary differential equations (34-XX) 14 Statistics (62-XX) 11 Mathematical logic and foundations (03-XX) 10 Measure and integration (28-XX) 9 Topological groups, Lie groups (22-XX) 9 Real functions (26-XX) 9 Biology and other natural sciences (92-XX) 8 Functions of a complex variable (30-XX) 8 Approximations and expansions (41-XX) 8 Abstract harmonic analysis (43-XX) 8 Operations research, mathematical programming (90-XX) 7 History and biography (01-XX) 7 Several complex variables and analytic spaces (32-XX) 6 Manifolds and cell complexes (57-XX) 6 Systems theory; control (93-XX) 5 Operator theory (47-XX) 5 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 4 General and overarching topics; collections (00-XX) 4 Category theory; homological algebra (18-XX) 4 Statistical mechanics, structure of matter (82-XX) 3 General topology (54-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 algebraic systems (08-XX) 1 $$K$$-theory (19-XX) 1 Potential theory (31-XX) 1 Partial differential equations (35-XX) 1 Difference and functional equations (39-XX) 1 Sequences, series, summability (40-XX) 1 Integral equations (45-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Algebraic topology (55-XX) 1 Global analysis, analysis on manifolds (58-XX)