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	21
Group LCD and group reversible LCD codes	20
A new construction for q-ary constant weight codes	18
Constructing differentially 4-uniform involutions over F	18
Construction of highly nonlinear permutations on Z	17
Simple matrix cryptosystem is not broken by Liu's attack	16
Singleton-optimal LRCs and perfect LRCs via cyclic and constacyclic codes	16
On the minimum weights of binary LCD codes and ternary LCD codes	16
Counting roots of fully triangular polynomials over finite fields	16
New classes of permutation trinomials of F	14
The resultant method in higher dimensions	13
Editorial Board	13
Decoding up to Hartmann–Tzeng and Roos bounds for rank codes	12
A structure theorem for the restricted sum of four squares	11
On divisors of sums of polynomials	11
Constructions and decoding of GC-balanced codes for edit errors	11
Weight distribution of double cyclic codes over F<	11
Editorial Board	11
A note on the intersection of two distinct constacyclic codes	10
Non-isomorphic maximal function fields of genus q − 1	10
Stephen D. Cohen's contributions to the finite fields community	10
Paley-like graphs over finite fields from vector spaces	10

Sum-rank product codes and bounds on the minimum distance	10
Oriented supersingular elliptic curves and Eichler orders of prime level	10
Quadratic residue patterns, algebraic curves and a K3 surface	10
Several classes of linear codes with few weights from the closed butterfly structure	10
Counting irreducible polynomials with restricted coefficients	10
Two classes of LCD BCH codes over finite fields	9
Well-covered unitary Cayley graphs of matrix rings over finite fields and applications	9
A spherical extension theorem and applications in positive characteristic	9
(2p + 1)-class association schemes from the generalized Maiorana-McFarland class	9
Negative Latin square type partial difference sets in nonabelian groups of order 64	8
Multi-orbit cyclic subspace codes and linear sets	8
Diagonal hypersurfaces and elliptic curves over finite fields and hypergeometric functions	8
How to construct CSIDH on Edwards curves	8
An infinite family of Griesmer quasi-cyclic self-orthogonal codes	8
Corrigendum to “Artin's primitive root conjecture for function fields revisited” [Finite Fields Appl. 67 (2020) 101713]	8
On the Northcott property of zeta functions over function fields	8
Bounds in the Lee metric and optimal codes	8
In Memory of Professor Zhexian Wan	7
Hulls of double cyclic codes	7
Investigating the exceptionality of scattered polynomials	7
Davenport and Hasse's theorems and lifts of multiplication matrices of Gaussian periods	7
Non-trivial t-intersecting families for symplectic polar spaces	7
New constructions of optimal binary LCD codes	7
Extending two families of bivariate APN functions	7
BRK-type sets over finite fields	7
Weierstrass semigroups and automorphism group of a maximal curve with the third largest genus	6
Editorial Board	6
Iterative constructions of irreducible polynomials from isogenies	6
On a class of permutation polynomials and their inverses	6
On the number of Diophantine m-tuples in finite fields	6
New classes of permutation trinomials over F	6
A correct justification for the CHMT algorithm for solving underdetermined multivariate systems	6
Linear codes from planar functions and related covering codes	6
A new identity of Dickson polynomials	6
More classes of permutation pentanomials over finite fields with characteristic two	6
Energy bounds, bilinear forms and their applications in function fields	6
Small solutions of generic ternary quadratic congruences to general moduli	6
Upper bounds for L-functions in positive characteristic	5
Permutation polynomials of the form xh(x−1) over F	5
Fourth power mean of the general s-dimensional Kloosterman sum mod p	5
On the Newton polygons of twisted L-functions of binomials	5
Some new constructions of MDS self-dual codes over finite fields	5
Function field genus theory for non-Kummer extensions	5
Counting points on diagonal equations over Galois rings GR(p2,2n)	5
Several classes of permutation polynomials of the form (	5
Transverse-freeness in finite geometries	5
Editorial Board	5
Rational points of lattice ideals on a toric variety and toric codes	5
Construction of Galois self-orthogonal MDS codes with larger dimensions	5
Generic Newton polygons for L-functions of (A,B)-exponential sums	5

On pencils of cubics on the projective line over finite fields of characteristic >3	5
The R-transform as power map and its generalizations to higher degree	5
Girth of the algebraic bipartite graph D(k,q)	5
Editorial Board	5
A further study on the Ness-Helleseth function	5
Two families of self-orthogonal codes with applications in LCD codes and optimally extendable codes	5
On LCD codes from skew symmetric Toeplitz matrices	5
Further improvements to the Chevalley-Warning theorems	5
On certain F	5
Correlation of shifted values of L-functions in the hyperelliptic ensemble	5
On non-monomial APcN permutations over finite fields of even characteristic	5
New constructions of permutation polynomials of the form x5
A note on t-designs in isodual codes	5
Products of involutions in symplectic groups over general fields (II): Finite fields	5
On the relative growth rate of the product of consecutive partial quotients in continued fraction expansions of Laurent series	4
The Gross-Koblitz formula and almost circulant matrices related to Jacobi sums	4
Denniston partial difference sets exist in the odd prime case	4
The radical of binary dimensional dual hyperovals	4
On cohomology of generalized Suzuki curves and exponential sums	4
Extending two families of maximum rank distance codes	4
List decoding of maximal order codes over number fields	4
Improvements of the Hasse-Weil-Serre bound over global function fields	4
On sums and products of combinatorial cubes	4
On the number of zeros to the equation f(x1)+... + f(x)=a over finite fields	4
The cross-correlation values of a class of sequences with different lengths	4
On primitive elements of finite fields avoiding affine hyperplanes	4
Existence of pencils with nonblocking hypersurfaces	4
Generalized almost perfect nonlinear binomials and trinomials over fields of prime-square order	4
Three proofs of an observation on irreducible polynomials over GF(2)	4
On dual-containing, almost dual-containing matrix-product codes and related quantum codes	4
Editorial Board	4
The isomorphism problem in the context of PI-theory for two-dimensional Jordan algebras	4
Editorial Board	4
Goppa codes over the p-adic integers and integers modulo p	4
Editorial Board	4
On the number of irreducible factors with a given multiplicity in function fields	4
Fq	4
On the graph of non-degenerate linear [n,2]2 codes	4
Automorphisms of the supersingular isogeny graph	4
Coset-wise affine functions and cycle types of complete mappings	4
A formula on the weight distribution of linear codes with applications to AMDS codes	4
Bound on the minimum distance of double circulant cubic residue codes	4
Central and non-central metacyclic codes	3
Multislant matrices and Jacobi–Trudi determinants over finite fields	3
On the sumsets of units and exceptional units in residue class rings	3
Few-weight codes over a non-chain ring associated with simplicial complexes and their distance optimal Gray image	3
Representations of group actions and their applications in cryptography	3
Deep holes of twisted Reed-Solomon codes	3
On monomial generalized almost perfect nonlinear functions	3
Nilpotent linearized polynomials over finite fields, revisited	3
An algebraic attack to the Bluetooth stream cipher E0	3
Editorial Board	3
Super-regular Steiner 2-designs	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
Arithmetic progressions in certain subsets of finite fields	3
Investigations of c-differential uniformity of permutations with Carlitz rank 3	3
Genus fields of Kummer extensions of rational function fields	3
Application of the Cartier operator in coding theory	3
On cyclic algebraic-geometry codes	3
On matrix algebras isomorphic to finite fields and planar Dembowski-Ostrom monomials	3
Certain diagonal equations and conflict-avoiding codes of prime lengths	3
Transverse linear subspaces to hypersurfaces over finite fields	3
Almost Steiner systems in finite classical polar spaces	3
Two families of optimal ternary cyclic codes with minimal distance four	3
Intersecting families of polynomials over finite fields	3
On CCZ-equivalence between the Bracken-Tan-Tan function and power functions	3
Linear families of smooth hypersurfaces over finitely generated fields	3
New constructions of optimal (r,δ)-LRCs via good polynomials	3
On r-primitive k-normal elements with prescribed norm and trace over finite fields	3
The probability of spanning a classical space by two non-degenerate subspaces of complementary dimensions	3
The extended codes of some linear codes	3
Skew constacyclic codes of lengths p and 2p over F	3
Construction of extremal Type II Z	3
Two classes of twisted generalized Reed-Solomon codes with two twists	3
On subgroup perfect codes in Cayley sum graphs	3
Permutation binomials of the form x(x−1 + a) over F	3
Probabilistic Galois theory in function fields	3
Additive cyclic complementary dual codes over F	3
Cyclotomic matrices and hypergeometric functions over finite fields	3

Primality proving using elliptic curves with complex multiplication by imaginary quadratic fields of class number three	3
(σ,τ)-derivations of group rings with applications	3
Editorial Board	3
On the boomerang uniformity of permutations of low Carlitz rank	3
Spectral properties of Cayley graphs over M×(F)	3
Constructing permutation polynomials over F	3
Partial difference sets from unions of cyclotomic classes	3
An approach to normal polynomials through symmetrization and symmetric reduction	3
AG codes on flag bundles over a curve	3
Editorial Board	3