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Finite Fields and Their Applications, Volume 18
Volume 18, Number 1, January 2012
- Takehiro Hasegawa, Miyoko Inuzuka, Takafumi Suzuki:

Towers of function fields over finite fields corresponding to elliptic modular curves. 1-18 - Abdelmejid Bayad

, Yoshinori Hamahata:
Higher dimensional Dedekind sums in finite fields. 19-25 - Alain Lasjaunias:

On the continued fraction expansion of the unique root in F(p) of the equation x4+x2-Tx-1/12=0 and other related hyperquadratic expansions. 26-34 - Xiaomei Zhao:

A note on multiple exponential sums in function fields. 35-55 - San Ling

, Longjiang Qu
:
A note on linearized polynomials and the dimension of their kernels. 56-62 - David Clark, Vladimir D. Tonchev

:
Nonbinary quantum codes derived from finite geometries. 63-69 - Xiangyong Zeng, Jinyong Shan

, Lei Hu:
A triple-error-correcting cyclic code from the Gold and Kasami-Welch APN power functions. 70-92 - Susan G. Barwick

, Wen-Ai Jackson:
Sublines and subplanes of PG(2, q3) in the Bruck-Bose representation in PG(6, q). 93-107 - Henning Stichtenoth, Alev Topuzoglu:

Factorization of a class of polynomials over finite fields. 108-122 - Cem Güneri, Ferruh Özbudak

:
A relation between quasi-cyclic codes and 2-D cyclic codes. 123-132 - Hai Q. Dinh:

Repeated-root constacyclic codes of length 2ps. 133-143 - Anuradha Sharma

, Gurmeet K. Bakshi
:
The weight distribution of some irreducible cyclic codes. 144-159 - Faruk Göloglu

:
Ternary Kloosterman sums modulo 4. 160-166 - Robert F. Lax:

Generic interpolation polynomial for list decoding. 167-178 - Yotsanan Meemark, Nathakhun Wiroonsri

:
The digraph of the kth power mapping of the quotient ring of polynomials over finite fields. 179-191 - Guizhen Zhu, Daqing Wan:

An asymptotic formula for counting subset sums over subgroups of finite fields. 192-209 - Hiroaki Taniguchi:

On the dual of the dual hyperoval from APN function f(x)=x3+Tr(x9). 210-221 - Alexander Gurevich, Boris Kunyavskii

:
Deterministic primality tests based on tori and elliptic curves. 222-236
Volume 18, Number 2, March 2012
- Yan Jia:

On quasi-twisted codes over finite fields. 237-257 - Xiaoshan Kai, Shixin Zhu, Yongsheng Tang:

Some constacyclic self-dual codes over the integers modulo m2. 258-270 - Dinesh S. Thakur:

Binomial and factorial congruences for Fq[t]. 271-282 - Dongdai Lin, Jean-Charles Faugère, Ludovic Perret, Tianze Wang:

On enumeration of polynomial equivalence classes and their application to MPKC. 283-302 - Daniel Panario

, Georgios Tzanakis
:
A generalization of the Hansen-Mullen conjecture on irreducible polynomials over finite fields. 303-315 - Robert S. Coulter, Felix Lazebnik:

On the classification of planar monomials over fields of square order. 316-336 - Ichiro Shimada:

On Frobenius incidence varieties of linear subspaces over finite fields. 337-361 - Gurmeet K. Bakshi

, Madhu Raka
:
A class of constacyclic codes over a finite field. 362-377 - Vsevolod F. Lev:

Character-free approach to progression-free sets. 378-383 - Kitae Kim, Ikkwon Yie:

A correspondence of certain irreducible polynomials over finite fields. 384-395 - Ferruh Özbudak

, Elif Saygi
, Zülfükar Saygi
:
Quadratic forms of codimension 2 over finite fields containing F2 and Artin-Schreier type curves. 396-433 - Gary McGuire:

An alternative proof of a result on the weight divisibility of a cyclic code using supersingular curves. 434-436 - Alan R. Prince:

The construction of replaceable (q+3)-nests of reguli in PG(3, q). 437-444 - Florian Möller:

Exceptional polynomials with 2-transitive affine monodromy groups. 445-457 - François Arnault, Erik Jarl Pickett, Stéphane Vinatier:

Construction of self-dual normal bases and their complexity. 458-472
Volume 18, Number 3, May 2012
- Dongdai Lin, Tao Shi, Zifeng Yang:

Ergodic theory over F2[[T]]. 473-491 - Xiang-Dong Hou:

A new approach to permutation polynomials over finite fields. 492-521 - Claudio Fontanari, Valentina Pulice, Anna Rimoldi, Massimiliano Sala

:
On weakly APN functions and 4-bit S-Boxes. 522-528 - Masaaki Harada:

Optimal self-dual Z4-codes and a unimodular lattice in dimension 41. 529-536 - Carl Bracken, Chik How Tan, Yin Tan:

Binomial differentially 4 uniform permutations with high nonlinearity. 537-546 - Thomas W. Cusick, Alyssa Brown:

Affine equivalence for rotation symmetric Boolean functions with pk variables. 547-562 - Gabriele Nebe:

An extremal [72, 36, 16] binary code has no automorphism group containing Z2 x Z4, Q8, or Z10. 563-566 - Masaaki Homma, Seon Jeong Kim:

The uniqueness of a plane curve of degree q attaining Sziklai's bound over Fq. 567-580 - Elodie Leducq:

A new proof of Delsarte, Goethals and Mac Williams theorem on minimal weight codewords of generalized Reed-Muller codes. 581-586 - Roswitha Hofer:

A construction of digital (0, s)-sequences involving finite-row generator matrices. 587-596 - Reza Rezaeian Farashahi

, Dustin Moody
, Hongfeng Wu
:
Isomorphism classes of Edwards curves over finite fields. 597-612 - Sunghyu Han, Jon-Lark Kim, Heisook Lee, Yoonjin Lee

:
Construction of quasi-cyclic self-dual codes. 613-633 - Jing Cao, Qin Yue, Liqin Hu:

Whiteman's generalized cyclotomic numbers with respect to t primes. 634-644
Volume 18, Number 4, July 2012
- Qingzhong Ji, Hourong Qin:

Higher K-groups of smooth projective curves over finite fields. 645-660 - Lindsay N. Childs:

Fixed point free automorphisms of groups related to finite fields. 661-673 - Brian G. Kronenthal

:
Monomial graphs and generalized quadrangles. 674-684 - Patrick Solé, Olfa Yemen:

Binary quasi-cyclic codes of index 2 and skew polynomial rings. 685-699 - Roman Popovych

:
Elements of high order in finite fields of the form Fq[x]/ϕr(x). 700-710 - Eimear Byrne, Michael Kiermaier, Alison Sneyd

:
Properties of codes with two homogeneous weights. 711-727 - Amela Muratovic-Ribic, Qiang Wang

:
On a conjecture of polynomials with prescribed range. 728-737 - Sergey Abrahamyan, Mahmood Alizadeh, Melsik Kyureghyan:

Recursive constructions of irreducible polynomials over finite fields. 738-745 - Tohru Nakashima:

Parameters of AG codes from vector bundles. 746-759 - Sunghan Bae, Su Hu, Hwanyup Jung:

The generalized Rédei-matrix for function fields. 760-780 - Zhengbang Zha, Lei Hu:

Two classes of permutation polynomials over finite fields. 781-790 - David B. Chandler, Junhua Wu, Qing Xiang:

Power sums over subspaces of finite fields. 791-799 - Peipei Wang, Xiwang Cao, Rongquan Feng:

On the existence of some specific elements in finite fields of characteristic 2. 800-813 - Qiang Wang

, Joseph L. Yucas:
Dickson polynomials over finite fields. 814-831 - Theodoulos Garefalakis

, Giorgos Kapetanakis
:
On the Hansen-Mullen conjecture for self-reciprocal irreducible polynomials. 832-841 - Hongxi Tong:

Multisequences with large linear and k-error linear complexity from a tower of Artin-Schreier extensions of function fields. 842-854 - Risto M. Hakala:

An upper bound for the linearity of Exponential Welch Costas functions. 855-862
- Gurmeet K. Bakshi

, Madhu Raka
:
Corrigendum to "Minimal cyclic codes of length pnq" [Finite Fields and Their Applications 9 (4) (2003) 432-448]. 863
Volume 18, Number 5, September 2012
- Iwan M. Duursma, Seungkook Park

:
Delta sets for divisors supported in two points. 865-885 - Gary McGuire, Alexey Zaytsev:

The number of rational points on hyperelliptic supersingular curves of genus 4 in characteristic 2. 886-893 - Sankhadip Roy

:
Generalization of some results on Gold and Kasami-Welch functions. 894-903 - Morgan Barbier

, Christophe Chabot, Guillaume Quintin:
On quasi-cyclic codes as a generalization of cyclic codes. 904-919 - Luis H. Gallardo, Olivier Rahavandrainy:

On even (unitary) perfect polynomials over F2. 920-932 - Maosheng Xiong

:
The weight distributions of a class of cyclic codes. 933-945 - Jeremy M. Dover, Keith E. Mellinger, Kenneth L. Wantz:

Generalized Pellegrino caps. 946-955 - Koji Momihara, Miwako Mishima, Masakazu Jimbo:

A decomposition of the 2-design formed by the planes in AG(2n, 3). 956-970 - Hyun Jin Kim, Yoonjin Lee

:
Construction of extremal self-dual codes over F2+uF2 with an automorphism of odd order. 971-992 - Wei You, Wen-Feng Qi, Hong Xu:

Two classes of sequences derived from single cycle T-functions. 993-1012 - Saeed Tafazolian:

A note on certain maximal hyperelliptic curves. 1013-1016 - Amita Sahni, Poonam Trama Sehgal:

Minimal cyclic codes of length pnq. 1017-1036
Volume 18, Number 6, November 2012
- Pooja Grover, Ashwani K. Bhandari:

Explicit determination of certain minimal constabelian codes. 1037-1060 - Kenza Guenda, T. Aaron Gulliver

:
MDS and self-dual codes over rings. 1061-1075 - Gohar M. Kyureghyan, Ferruh Özbudak

:
Planarity of products of two linearized polynomials. 1076-1088 - Xiyong Zhang, Xiwang Cao, Rongquan Feng:

A method of evaluation of exponential sum of binary quadratic functions. 1089-1103 - Stefka Bouyuklieva

, Nikolay I. Yankov
, Jon-Lark Kim:
Classification of binary self-dual [48, 24, 10] codes with an automorphism of odd prime order. 1104-1113 - G. F. Seelinger, Papa A. Sissokho

, L. E. Spence, Charles Vanden Eynden:
Partitions of finite vector spaces over GF(2) into subspaces of dimensions 2 and s. 1114-1132 - Dermot McCarthy

:
Transformations of well-poised hypergeometric functions over finite fields. 1133-1147 - Ignacio F. Rúa

, Elías F. Combarro
, José Ranilla
:
Determination of division algebras with 243 elements. 1148-1155 - Stephen D. Cohen

:
Primitive cubics and quartics with zero trace and prescribed norm. 1156-1168 - Josef Dick

, Peter Kritzer
:
A higher order Blokh-Zyablov propagation rule for higher order nets. 1169-1183 - Neranga Fernando

, Xiang-dong Hou:
A piecewise construction of permutation polynomials over finite fields. 1184-1194 - Shu-Yi Chen, Michael Fuchs

:
A higher-dimensional Kurzweil theorem for formal Laurent series over finite fields. 1195-1206 - F. Castro, F. N. Castro-Velez:

Improvement to Moreno-Moreno's theorems. 1207-1216 - Bocong Chen, Yun Fan, Liren Lin, Hongwei Liu:

Constacyclic codes over finite fields. 1217-1231 - Heng Huat Chan, Elisavet Konstantinou, Aristides Kontogeorgis

, Chik How Tan:
What is your "birthday elliptic curve"? 1232-1241

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