Finite Fields and Their Applications

Article	Citations
Achromatic colorings of polarity graphs	30
Editorial Board	26
Construction of highly nonlinear permutations on Z	21
Simple matrix cryptosystem is not broken by Liu's attack	21
Counting roots of fully triangular polynomials over finite fields	21
Group LCD and group reversible LCD codes	17
A new construction for q-ary constant weight codes	15
Brocard-Ramanujan problem for polynomials over finite fields	14
Singleton-optimal LRCs and perfect LRCs via cyclic and constacyclic codes	14
New classes of optimal p-ary cyclic codes with minimum distance four	14
The resultant method in higher dimensions	13
Linear codes with few weights over finite fields	13
Paley-like graphs over finite fields from vector spaces	13
Constructions and decoding of GC-balanced codes for edit errors	13
Editorial Board	13
Editorial Board	13
A structure theorem for the restricted sum of four squares	12
Normal and primitive normal elements with prescribed traces in intermediate extensions of finite fields	12
Decoding up to Hartmann–Tzeng and Roos bounds for rank codes	12
A note on the intersection of two distinct constacyclic codes	12
Linear l-intersection pairs of matrix-product codes and their applications	12
Corrigendum to “Higher Grassmann codes II” [Finite Fields Appl. 89 (2023) 102211]	12
Quadratic residue patterns, algebraic curves and a K3 surface	11
Weight distribution of double cyclic codes over F<	10
New classes of permutation trinomials of F	9

Stephen D. Cohen's contributions to the finite fields community	9
On divisors of sums of polynomials	9
Trace duality and additive complementary pairs of additive cyclic codes over finite chain rings	9
Oriented supersingular elliptic curves and Eichler orders of prime level	8
Counting irreducible polynomials with restricted coefficients	8
A spherical extension theorem and applications in positive characteristic	8
Well-covered unitary Cayley graphs of matrix rings over finite fields and applications	8
Non-isomorphic maximal function fields of genus q − 1	8
On the Northcott property of zeta functions over function fields	8
How to construct CSIDH on Edwards curves	8
Diagonal hypersurfaces and elliptic curves over finite fields and hypergeometric functions	8
Editorial Board	8
On quadratic character sums over quartics	8
The Erdős-Rado sunflower problem for vector spaces	8
(2p + 1)-class association schemes from the generalized Maiorana-McFarland class	7
Bounds on the size of (r,δ)-locally repairable codes for fixed values q and d	7
Modular matrix invariants under some transpose actions	7
Two classes of LCD BCH codes over finite fields	7
New constructions of optimal binary LCD codes	7
Multi-orbit cyclic subspace codes and linear sets	7
Bounds in the Lee metric and optimal codes	7
Negative Latin square type partial difference sets in nonabelian groups of order 64	6
Editorial Board	6
Extending two families of bivariate APN functions	6
More classes of permutation pentanomials over finite fields with characteristic two	6
On a class of permutation polynomials and their inverses	6
A note on t-designs in isodual codes	6
BRK-type sets over finite fields	6
Davenport and Hasse's theorems and lifts of multiplication matrices of Gaussian periods	6
Linear codes arising from the point-hyperplane geometry-Part I: The Segre embedding	6
Linear codes from planar functions and related covering codes	6
Iterative constructions of irreducible polynomials from isogenies	6
Girth of the algebraic bipartite graph D(k,q)	6
On the number of Diophantine m-tuples in finite fields	6
In Memory of Professor Zhexian Wan	6
New classes of permutation trinomials over F	6
Hulls of double cyclic codes	6
A correct justification for the CHMT algorithm for solving underdetermined multivariate systems	6
Function field genus theory for non-Kummer extensions	6
Weierstrass semigroups and automorphism group of a maximal curve with the third largest genus	6
Rational points of lattice ideals on a toric variety and toric codes	5
Two families of self-orthogonal codes with applications in LCD codes and optimally extendable codes	5
Construction of Galois self-orthogonal MDS codes with larger dimensions	5
Further improvements to the Chevalley-Warning theorems	5
Counting points on diagonal equations over Galois rings GR(p2,2n)	5
On non-monomial APcN permutations over finite fields of even characteristic	5
Energy bounds, bilinear forms and their applications in function fields	5
Hermitian-Singer functional and differential codes	5
On LCD codes from skew symmetric Toeplitz matrices	5
On the study of semi-involutory and semi-orthogonal matrices	5

Products of involutions in symplectic groups over general fields (II): Finite fields	5
A further study on the Ness-Helleseth function	5
New constructions of permutation polynomials of the form x5
Transverse-freeness in finite geometries	5
On generalized Weierstrass semigroups in arbitrary Kummer extensions of	5
Upper bounds for L-functions in positive characteristic	5
The R-transform as power map and its generalizations to higher degree	5
Small solutions of generic ternary quadratic congruences to general moduli	5
Fourth power mean of the general s-dimensional Kloosterman sum mod p	5
The isomorphism problem in the context of PI-theory for two-dimensional Jordan algebras	4
Automorphisms of the supersingular isogeny graph	4
Construction of (n,n)-functions with low differential-linear uniformity	4
Bound on the minimum distance of double circulant cubic residue codes	4
Editorial Board	4
On two conjectures of the duals of AMDS BCH codes	4
Generator polynomial matrices of the Galois hulls of multi-twisted codes	4
On the number of irreducible factors with a given multiplicity in function fields	4
The third generalized covering radius for binary primitive double-error-correcting BCH codes	4
The cross-correlation values of a class of sequences with different lengths	4
The radical of binary dimensional dual hyperovals	4
Goppa codes over the p-adic integers and integers modulo p	4
Linear codes arising from the point-hyperplane geometry — Part II: the twisted embedding	4
List decoding of maximal order codes over number fields	4
Kneser's theorem for codes and ℓ-divisible set families	4
A family of optimal dual-containing and reversible linear codes over	4
Permutation polynomials of the form xh(x−1) over F	4
An unusual family of supersingular curves of genus five in characteristic two	4
Extending two families of maximum rank distance codes	4
Existence of pencils with nonblocking hypersurfaces	4
Generalized almost perfect nonlinear binomials and trinomials over fields of prime-square order	4
On cohomology of generalized Suzuki curves and exponential sums	4
Denniston partial difference sets exist in the odd prime case	4
Distribution of solutions to systems of congruences in balls	4
Editorial Board	4
Coset-wise affine functions and cycle types of complete mappings	4
Editorial Board	4
On certain Fp2-maximal curves of the form y3 = f(x)	4
On dual-containing, almost dual-containing matrix-product codes and related quantum codes	4
Cardinality-consistent flag codes with larger cardinality	4
The Gross-Koblitz formula and almost circulant matrices related to Jacobi sums	4
On the graph of non-degenerate linear [n,2]2 codes	4
Improvements of the Hasse-Weil-Serre bound over global function fields	4
Three proofs of an observation on irreducible polynomials over GF(2)	4
Editorial Board	4
A new family of maximum linear symmetric rank-distance codes	3
On r-primitive k-normal elements with prescribed norm and trace over finite fields	3
Cyclotomic matrices and hypergeometric functions over finite fields	3
Fq	3
On monomial generalized almost perfect nonlinear functions	3
On cyclic algebraic-geometry codes	3
Further results on permutation pentanomials over	3
Primality proving using elliptic curves with complex multiplication by imaginary quadratic fields of class number three	3
On CCZ-equivalence between the Bracken-Tan-Tan function and power functions	3
Editorial Board	3
Skew constacyclic codes of lengths p and 2p over F	3
Probabilistic Galois theory in function fields	3
Super-regular Steiner 2-designs	3
Arithmetic progressions in certain subsets of finite fields	3
The probability of spanning a classical space by two non-degenerate subspaces of complementary dimensions	3
On the boomerang uniformity of permutations of low Carlitz rank	3
The extended codes of some linear codes	3
An algebraic attack to the Bluetooth stream cipher E0	3
Transverse linear subspaces to hypersurfaces over finite fields	3
Deep holes of twisted Reed-Solomon codes	3
Intersecting families of polynomials over finite fields	3
Nilpotent linearized polynomials over finite fields, revisited	3
(σ,τ)-derivations of group rings with applications	3
Representations of group actions and their applications in cryptography	3
On matrix algebras isomorphic to finite fields and planar Dembowski-Ostrom monomials	3
New constructions of optimal (r,δ)-LRCs via good polynomials	3
An approach to the moments subset sum problem through systems of diagonal equations over finite fields	3
Editorial Board	3
Exceptionality of (X+1)  + (X−1)	3
Linear families of smooth hypersurfaces over finitely generated fields	3
An approach to normal polynomials through symmetrization and symmetric reduction	3
Partial difference sets from unions of cyclotomic classes	3
Multislant matrices and Jacobi–Trudi determinants over finite fields	3
Almost Steiner systems in finite classical polar spaces	3
Constructing permutation polynomials over F	3
Investigations of c-differential uniformity of permutations with Carlitz rank 3	3

Sums of two squares over	3
On the sumsets of units and exceptional units in residue class rings	3
Two classes of twisted generalized Reed-Solomon codes with two twists	3
AG codes on flag bundles over a curve	3