Finite Fields and Their Applications

Article	Citations
Linear codes with few weights over finite fields	26
New classes of optimal p-ary cyclic codes with minimum distance four	22
Achromatic colorings of polarity graphs	21
Editorial Board	19
Group LCD and group reversible LCD codes	18
Constructing differentially 4-uniform involutions over F	18
Simple matrix cryptosystem is not broken by Liu's attack	18
A new construction for q-ary constant weight codes	17
Construction of highly nonlinear permutations on Z	16
Singleton-optimal LRCs and perfect LRCs via cyclic and constacyclic codes	16
Counting roots of fully triangular polynomials over finite fields	16
On the minimum weights of binary LCD codes and ternary LCD codes	15
New classes of permutation trinomials of F	13
The resultant method in higher dimensions	13
Editorial Board	13
On divisors of sums of polynomials	12
Weight distribution of double cyclic codes over F<	11
Constructions and decoding of GC-balanced codes for edit errors	11
A structure theorem for the restricted sum of four squares	11
Editorial Board	11
A note on the intersection of two distinct constacyclic codes	10
Paley-like graphs over finite fields from vector spaces	10
Quadratic residue patterns, algebraic curves and a K3 surface	10
Sum-rank product codes and bounds on the minimum distance	10
Stephen D. Cohen's contributions to the finite fields community	10

Several classes of linear codes with few weights from the closed butterfly structure	10
A spherical extension theorem and applications in positive characteristic	9
Non-isomorphic maximal function fields of genus q − 1	9
An infinite family of Griesmer quasi-cyclic self-orthogonal codes	9
(2p + 1)-class association schemes from the generalized Maiorana-McFarland class	9
Oriented supersingular elliptic curves and Eichler orders of prime level	9
Two classes of LCD BCH codes over finite fields	9
Well-covered unitary Cayley graphs of matrix rings over finite fields and applications	9
Diagonal hypersurfaces and elliptic curves over finite fields and hypergeometric functions	8
How to construct CSIDH on Edwards curves	8
Corrigendum to “Artin's primitive root conjecture for function fields revisited” [Finite Fields Appl. 67 (2020) 101713]	8
Negative Latin square type partial difference sets in nonabelian groups of order 64	8
On the Northcott property of zeta functions over function fields	8
New constructions of optimal binary LCD codes	8
Bounds in the Lee metric and optimal codes	8
Investigating the exceptionality of scattered polynomials	7
New classes of permutation trinomials over F	7
Non-trivial t-intersecting families for symplectic polar spaces	7
Multi-orbit cyclic subspace codes and linear sets	7
A new identity of Dickson polynomials	7
Hulls of double cyclic codes	7
BRK-type sets over finite fields	7
Extending two families of bivariate APN functions	7
On the number of Diophantine m-tuples in finite fields	7
In Memory of Professor Zhexian Wan	7
Weierstrass semigroups and automorphism group of a maximal curve with the third largest genus	6
Small solutions of generic ternary quadratic congruences to general moduli	6
Counting points on diagonal equations over Galois rings GR(p2,2n)	6
Iterative constructions of irreducible polynomials from isogenies	6
More classes of permutation pentanomials over finite fields with characteristic two	6
Davenport and Hasse's theorems and lifts of multiplication matrices of Gaussian periods	6
Energy bounds, bilinear forms and their applications in function fields	6
Editorial Board	6
Linear codes from planar functions and related covering codes	6
On a class of permutation polynomials and their inverses	6
A correct justification for the CHMT algorithm for solving underdetermined multivariate systems	6
Permutation polynomials of the form xh(x−1) over F	5
On dual-containing, almost dual-containing matrix-product codes and related quantum codes	5
Editorial Board	5
On LCD codes from skew symmetric Toeplitz matrices	5
Further improvements to the Chevalley-Warning theorems	5
The R-transform as power map and its generalizations to higher degree	5
Correlation of shifted values of L-functions in the hyperelliptic ensemble	5
A note on t-designs in isodual codes	5
A further study on the Ness-Helleseth function	5
Girth of the algebraic bipartite graph D(k,q)	5
Improvements of the Hasse-Weil-Serre bound over global function fields	5
Editorial Board	5
Fourth power mean of the general s-dimensional Kloosterman sum mod p	5
Rational points of lattice ideals on a toric variety and toric codes	5

New constructions of permutation polynomials of the form x5
Function field genus theory for non-Kummer extensions	5
On non-monomial APcN permutations over finite fields of even characteristic	5
On pencils of cubics on the projective line over finite fields of characteristic >3	5
On the Newton polygons of twisted L-functions of binomials	5
Bound on the minimum distance of double circulant cubic residue codes	5
Generic Newton polygons for L-functions of (A,B)-exponential sums	5
Some new constructions of MDS self-dual codes over finite fields	5
Products of involutions in symplectic groups over general fields (II): Finite fields	5
Editorial Board	5
Several classes of permutation polynomials of the form (	5
On cohomology of generalized Suzuki curves and exponential sums	4
On the number of irreducible factors with a given multiplicity in function fields	4
The radical of binary dimensional dual hyperovals	4
The Gross-Koblitz formula and almost circulant matrices related to Jacobi sums	4
Goppa codes over the p-adic integers and integers modulo p	4
Editorial Board	4
A formula on the weight distribution of linear codes with applications to AMDS codes	4
The cross-correlation values of a class of sequences with different lengths	4
Generalized almost perfect nonlinear binomials and trinomials over fields of prime-square order	4
Existence of pencils with nonblocking hypersurfaces	4
Three proofs of an observation on irreducible polynomials over GF(2)	4
Fq	4
An approach to normal polynomials through symmetrization and symmetric reduction	4
Automorphisms of the supersingular isogeny graph	4
Coset-wise affine functions and cycle types of complete mappings	4
On sums and products of combinatorial cubes	4
The isomorphism problem in the context of PI-theory for two-dimensional Jordan algebras	4
On the graph of non-degenerate linear [n,2]2 codes	4
On the relative growth rate of the product of consecutive partial quotients in continued fraction expansions of Laurent series	4
Denniston partial difference sets exist in the odd prime case	4
Editorial Board	4
On primitive elements of finite fields avoiding affine hyperplanes	4
List decoding of maximal order codes over number fields	4
Extending two families of maximum rank distance codes	4
On the number of zeros to the equation f(x1)+... + f(x)=a over finite fields	4
Genus fields of Kummer extensions of rational function fields	3
Probabilistic Galois theory in function fields	3
The most symmetric smooth cubic surface over a finite field of characteristic 2	3
Arithmetic progressions in certain subsets of finite fields	3
Central and non-central metacyclic codes	3
Transverse linear subspaces to hypersurfaces over finite fields	3
A multistep strategy for polynomial system solving over finite fields and a new algebraic attack on the stream cipher Trivium	3
On matrix algebras isomorphic to finite fields and planar Dembowski-Ostrom monomials	3
On cyclic algebraic-geometry codes	3
Additive cyclic complementary dual codes over F	3
Two families of optimal ternary cyclic codes with minimal distance four	3
Editorial Board	3
The probability of spanning a classical space by two non-degenerate subspaces of complementary dimensions	3
Exceptionality of (X+1)  + (X−1)	3
An approach to the moments subset sum problem through systems of diagonal equations over finite fields	3
On monomial generalized almost perfect nonlinear functions	3
Skew constacyclic codes of lengths p and 2p over F	3
Construction of extremal Type II Z	3
Representations of group actions and their applications in cryptography	3
Fagundes-Mello conjecture over a finite field	3
AG codes on flag bundles over a curve	3
Certain diagonal equations and conflict-avoiding codes of prime lengths	3
Two classes of twisted generalized Reed-Solomon codes with two twists	3
On subgroup perfect codes in Cayley sum graphs	3
New constructions of optimal (r,δ)-LRCs via good polynomials	3
Constructing permutation polynomials over F	3
Primality proving using elliptic curves with complex multiplication by imaginary quadratic fields of class number three	3
An algebraic attack to the Bluetooth stream cipher E0	3
Application of the Cartier operator in coding theory	3
The extended codes of some linear codes	3
On r-primitive k-normal elements with prescribed norm and trace over finite fields	3
Investigations of c-differential uniformity of permutations with Carlitz rank 3	3
Intersecting families of polynomials over finite fields	3
Editorial Board	3
The automorphism group of the p-torsion points of an elliptic curve over a field of characteristic p ≥ 5	3
(σ,τ)-derivations of group rings with applications	3
Some results on linear subspace codes	3
Cyclotomic matrices and hypergeometric functions over finite fields	3
Permutation binomials of the form x(x−1 + a) over F	3
On CCZ-equivalence between the Bracken-Tan-Tan function and power functions	3
Multislant matrices and Jacobi–Trudi determinants over finite fields	3
Few-weight codes over a non-chain ring associated with simplicial complexes and their distance optimal Gray image	3
On the sumsets of units and exceptional units in residue class rings	3
Nilpotent linearized polynomials over finite fields, revisited	3

Super-regular Steiner 2-designs	3
Linear families of smooth hypersurfaces over finitely generated fields	3
Spectral properties of Cayley graphs over M×(F)	3
On the boomerang uniformity of permutations of low Carlitz rank	3
Editorial Board	3