Finite Fields and Their Applications

Article	Citations
Achromatic colorings of polarity graphs	22
Linear codes with few weights over finite fields	22
Editorial Board	21
Constructing differentially 4-uniform involutions over F	19
Construction of highly nonlinear permutations on Z	18
A new construction for q-ary constant weight codes	18
Counting roots of fully triangular polynomials over finite fields	16
Singleton-optimal LRCs and perfect LRCs via cyclic and constacyclic codes	16
Simple matrix cryptosystem is not broken by Liu's attack	14
Group LCD and group reversible LCD codes	14
New classes of optimal p-ary cyclic codes with minimum distance four	14
New classes of permutation trinomials of F	13
Editorial Board	13
Decoding up to Hartmann–Tzeng and Roos bounds for rank codes	12
Paley-like graphs over finite fields from vector spaces	11
A structure theorem for the restricted sum of four squares	11
Corrigendum to “Higher Grassmann codes II” [Finite Fields Appl. 89 (2023) 102211]	11
Editorial Board	11
The resultant method in higher dimensions	11
Constructions and decoding of GC-balanced codes for edit errors	11
Weight distribution of double cyclic codes over F<	10
On divisors of sums of polynomials	10
Stephen D. Cohen's contributions to the finite fields community	10
Quadratic residue patterns, algebraic curves and a K3 surface	10
Sum-rank product codes and bounds on the minimum distance	10

A note on the intersection of two distinct constacyclic codes	10
Non-isomorphic maximal function fields of genus q − 1	9
Editorial Board	9
Oriented supersingular elliptic curves and Eichler orders of prime level	9
Counting irreducible polynomials with restricted coefficients	8
Two classes of LCD BCH codes over finite fields	8
Bounds in the Lee metric and optimal codes	8
On the Northcott property of zeta functions over function fields	8
(2p + 1)-class association schemes from the generalized Maiorana-McFarland class	8
New constructions of optimal binary LCD codes	8
How to construct CSIDH on Edwards curves	8
Bounds on the size of (r,δ)-locally repairable codes for fixed values q and d	8
A spherical extension theorem and applications in positive characteristic	8
Corrigendum to “Artin's primitive root conjecture for function fields revisited” [Finite Fields Appl. 67 (2020) 101713]	8
Diagonal hypersurfaces and elliptic curves over finite fields and hypergeometric functions	8
Investigating the exceptionality of scattered polynomials	7
Negative Latin square type partial difference sets in nonabelian groups of order 64	7
Well-covered unitary Cayley graphs of matrix rings over finite fields and applications	7
BRK-type sets over finite fields	7
Multi-orbit cyclic subspace codes and linear sets	7
Hulls of double cyclic codes	6
Davenport and Hasse's theorems and lifts of multiplication matrices of Gaussian periods	6
Weierstrass semigroups and automorphism group of a maximal curve with the third largest genus	6
A correct justification for the CHMT algorithm for solving underdetermined multivariate systems	6
More classes of permutation pentanomials over finite fields with characteristic two	6
In Memory of Professor Zhexian Wan	6
On the number of Diophantine m-tuples in finite fields	6
Non-trivial t-intersecting families for symplectic polar spaces	6
Editorial Board	6
New classes of permutation trinomials over F	6
Extending two families of bivariate APN functions	6
A new identity of Dickson polynomials	6
Linear codes from planar functions and related covering codes	6
On pencils of cubics on the projective line over finite fields of characteristic >3	5
On non-monomial APcN permutations over finite fields of even characteristic	5
Construction of Galois self-orthogonal MDS codes with larger dimensions	5
Fourth power mean of the general s-dimensional Kloosterman sum mod p	5
Transverse-freeness in finite geometries	5
A further study on the Ness-Helleseth function	5
A note on t-designs in isodual codes	5
Energy bounds, bilinear forms and their applications in function fields	5
Several classes of permutation polynomials of the form (	5
Further improvements to the Chevalley-Warning theorems	5
On certain F	5
Two families of self-orthogonal codes with applications in LCD codes and optimally extendable codes	5
On the Newton polygons of twisted L-functions of binomials	5
Girth of the algebraic bipartite graph D(k,q)	5
Small solutions of generic ternary quadratic congruences to general moduli	5
On a class of permutation polynomials and their inverses	5
Iterative constructions of irreducible polynomials from isogenies	5

The R-transform as power map and its generalizations to higher degree	5
Rational points of lattice ideals on a toric variety and toric codes	5
Upper bounds for L-functions in positive characteristic	5
On LCD codes from skew symmetric Toeplitz matrices	5
Generic Newton polygons for L-functions of (A,B)-exponential sums	5
Products of involutions in symplectic groups over general fields (II): Finite fields	5
Counting points on diagonal equations over Galois rings GR(p2,2n)	5
Function field genus theory for non-Kummer extensions	5
New constructions of permutation polynomials of the form x5
The isomorphism problem in the context of PI-theory for two-dimensional Jordan algebras	4
Construction of (n,n)-functions with low differential-linear uniformity	4
Editorial Board	4
On dual-containing, almost dual-containing matrix-product codes and related quantum codes	4
Editorial Board	4
Generalized almost perfect nonlinear binomials and trinomials over fields of prime-square order	4
Goppa codes over the p-adic integers and integers modulo p	4
The cross-correlation values of a class of sequences with different lengths	4
The radical of binary dimensional dual hyperovals	4
Automorphisms of the supersingular isogeny graph	4
Bound on the minimum distance of double circulant cubic residue codes	4
Editorial Board	4
Improvements of the Hasse-Weil-Serre bound over global function fields	4
On sums and products of combinatorial cubes	4
On the relative growth rate of the product of consecutive partial quotients in continued fraction expansions of Laurent series	4
On cohomology of generalized Suzuki curves and exponential sums	4
Generator polynomial matrices of the Galois hulls of multi-twisted codes	4
Editorial Board	4
List decoding of maximal order codes over number fields	4
Permutation polynomials of the form xh(x−1) over F	4
Some new constructions of MDS self-dual codes over finite fields	4
Coset-wise affine functions and cycle types of complete mappings	4
Extending two families of maximum rank distance codes	4
On the graph of non-degenerate linear [n,2]2 codes	4
A formula on the weight distribution of linear codes with applications to AMDS codes	4
Three proofs of an observation on irreducible polynomials over GF(2)	4
The Gross-Koblitz formula and almost circulant matrices related to Jacobi sums	3
Existence of pencils with nonblocking hypersurfaces	3
AG codes on flag bundles over a curve	3
Central and non-central metacyclic codes	3
Few-weight codes over a non-chain ring associated with simplicial complexes and their distance optimal Gray image	3
On the boomerang uniformity of permutations of low Carlitz rank	3
On cyclic algebraic-geometry codes	3
Probabilistic Galois theory in function fields	3
Deep holes of twisted Reed-Solomon codes	3
On monomial generalized almost perfect nonlinear functions	3
Almost Steiner systems in finite classical polar spaces	3
On r-primitive k-normal elements with prescribed norm and trace over finite fields	3
Representations of group actions and their applications in cryptography	3
Spectral properties of Cayley graphs over M×(F)	3
Editorial Board	3
Two classes of twisted generalized Reed-Solomon codes with two twists	3
Nilpotent linearized polynomials over finite fields, revisited	3
On the number of irreducible factors with a given multiplicity in function fields	3
Partial difference sets from unions of cyclotomic classes	3
New constructions of optimal (r,δ)-LRCs via good polynomials	3
On subgroup perfect codes in Cayley sum graphs	3
Linear families of smooth hypersurfaces over finitely generated fields	3
Application of the Cartier operator in coding theory	3
The probability of spanning a classical space by two non-degenerate subspaces of complementary dimensions	3
Additive cyclic complementary dual codes over F	3
(σ,τ)-derivations of group rings with applications	3
Certain diagonal equations and conflict-avoiding codes of prime lengths	3
Exceptionality of (X+1)  + (X−1)	3
Skew constacyclic codes of lengths p and 2p over F	3
An approach to normal polynomials through symmetrization and symmetric reduction	3
Investigations of c-differential uniformity of permutations with Carlitz rank 3	3
Two families of optimal ternary cyclic codes with minimal distance four	3
Editorial Board	3
Fq	3
Denniston partial difference sets exist in the odd prime case	3
Cyclotomic matrices and hypergeometric functions over finite fields	3
Arithmetic progressions in certain subsets of finite fields	3
Constructing permutation polynomials over F	3
Super-regular Steiner 2-designs	3
Multislant matrices and Jacobi–Trudi determinants over finite fields	3
An algebraic attack to the Bluetooth stream cipher E0	3
Permutation binomials of the form x(x−1 + a) over F	3
Transverse linear subspaces to hypersurfaces over finite fields	3
Primality proving using elliptic curves with complex multiplication by imaginary quadratic fields of class number three	3
On matrix algebras isomorphic to finite fields and planar Dembowski-Ostrom monomials	3

On the sumsets of units and exceptional units in residue class rings	3
An approach to the moments subset sum problem through systems of diagonal equations over finite fields	3
On CCZ-equivalence between the Bracken-Tan-Tan function and power functions	3
The extended codes of some linear codes	3
Intersecting families of polynomials over finite fields	3