Finite Fields and Their Applications

Article	Citations
Editorial Board	40
Achromatic colorings of polarity graphs	24
New classes of optimal p-ary cyclic codes with minimum distance four	19
A new construction for q-ary constant weight codes	18
Singleton-optimal LRCs and perfect LRCs via cyclic and constacyclic codes	17
Counting roots of fully triangular polynomials over finite fields	17
Construction of highly nonlinear permutations on Z	16
Constructing differentially 4-uniform involutions over F	16
On the minimum weights of binary LCD codes and ternary LCD codes	16
Linear codes with few weights over finite fields	16
A note on the intersection of two distinct constacyclic codes	15
Group LCD and group reversible LCD codes	15
Editorial Board	14
Several classes of linear codes with few weights from the closed butterfly structure	13
Weight distribution of double cyclic codes over F<	13
Constructions and decoding of GC-balanced codes for edit errors	12
Paley-like graphs over finite fields from vector spaces	12
The resultant method in higher dimensions	12
Editorial Board	12
A structure theorem for the restricted sum of four squares	11
On divisors of sums of polynomials	11
New classes of permutation trinomials of F	10
Quadratic residue patterns, algebraic curves and a K3 surface	10
An infinite family of Griesmer quasi-cyclic self-orthogonal codes	9
(2p + 1)-class association schemes from the generalized Maiorana-McFarland class	9

Diagonal hypersurfaces and elliptic curves over finite fields and hypergeometric functions	9
A spherical extension theorem and applications in positive characteristic	9
Oriented supersingular elliptic curves and Eichler orders of prime level	9
Sum-rank product codes and bounds on the minimum distance	9
Corrigendum to “Artin's primitive root conjecture for function fields revisited” [Finite Fields Appl. 67 (2020) 101713]	9
Investigating the exceptionality of scattered polynomials	9
On the Northcott property of zeta functions over function fields	9
How to construct CSIDH on Edwards curves	8
Well-covered unitary Cayley graphs of matrix rings over finite fields and applications	8
Multi-orbit cyclic subspace codes and linear sets	8
Bounds in the Lee metric and optimal codes	8
New constructions of optimal binary LCD codes	8
Negative Latin square type partial difference sets in nonabelian groups of order 64	8
Two classes of LCD BCH codes over finite fields	8
Non-trivial t-intersecting families for symplectic polar spaces	7
On the number of Diophantine m-tuples in finite fields	7
Hulls of double cyclic codes	7
Editorial Board	7
Davenport and Hasse's theorems and lifts of multiplication matrices of Gaussian periods	7
A new identity of Dickson polynomials	7
BRK-type sets over finite fields	7
A lower bound on HMOLS with equal sized holes	7
Extending two families of bivariate APN functions	7
In Memory of Professor Zhexian Wan	7
More classes of permutation pentanomials over finite fields with characteristic two	6
Function field genus theory for non-Kummer extensions	6
Girth of the algebraic bipartite graph D(k,q)	6
Weierstrass semigroups and automorphism group of a maximal curve with the third largest genus	6
New classes of permutation trinomials over F	6
On a class of permutation polynomials and their inverses	6
Cyclic Sieving for cyclic codes	6
Editorial Board	6
Correlation of shifted values of L-functions in the hyperelliptic ensemble	6
Several classes of permutation polynomials of the form (	5
Energy bounds, bilinear forms and their applications in function fields	5
On pencils of cubics on the projective line over finite fields of characteristic >3	5
A further study on the Ness-Helleseth function	5
Generic Newton polygons for L-functions of (A,B)-exponential sums	5
Small solutions of generic ternary quadratic congruences to general moduli	5
Iterative constructions of irreducible polynomials from isogenies	5
The R-transform as power map and its generalizations to higher degree	5
Existence of primitive 2-normal elements in finite fields	5
Further improvements to the Chevalley-Warning theorems	5
Linear codes from planar functions and related covering codes	5
A correct justification for the CHMT algorithm for solving underdetermined multivariate systems	5
On non-monomial APcN permutations over finite fields of even characteristic	5
A note on t-designs in isodual codes	5
Counting points on diagonal equations over Galois rings GR(p2,2n)	5
New constructions of permutation polynomials of the form x5
Complete weight enumerators for several classes of two-weight and three-weight linear codes	4

On the distribution of multivariate Jacobi sums	4
The isomorphism problem in the context of PI-theory for two-dimensional Jordan algebras	4
Automorphisms of the supersingular isogeny graph	4
Some new constructions of MDS self-dual codes over finite fields	4
Permutation polynomials of the form xh(x−1) over F	4
On the number of zeros to the equation f(x1)+... + f(x)=a over finite fields	4
On dual-containing, almost dual-containing matrix-product codes and related quantum codes	4
Bound on the minimum distance of double circulant cubic residue codes	4
Multiplicative orders of Gauss periods and the arithmetic of real quadratic fields	4
Improvements of the Hasse-Weil-Serre bound over global function fields	4
Extending two families of maximum rank distance codes	4
Editorial Board	4
A formula on the weight distribution of linear codes with applications to AMDS codes	4
On LCD codes from skew symmetric Toeplitz matrices	4
Fourth power mean of the general s-dimensional Kloosterman sum mod p	4
On the Newton polygons of twisted L-functions of binomials	4
Three proofs of an observation on irreducible polynomials over GF(2)	4
Editorial Board	4
On the graph of non-degenerate linear [n,2]2 codes	4
Editorial Board	4
Coset-wise affine functions and cycle types of complete mappings	4
On sums and products of combinatorial cubes	4
On codes in the projective linear group PGL(2,q)	4
Rational points of lattice ideals on a toric variety and toric codes	4
List decoding of maximal order codes over number fields	4
Editorial Board	4
The radical of binary dimensional dual hyperovals	4
On the relative growth rate of the product of consecutive partial quotients in continued fraction expansions of Laurent series	4
The cross-correlation values of a class of sequences with different lengths	3
Cyclotomic matrices and hypergeometric functions over finite fields	3
Investigations of c-differential uniformity of permutations with Carlitz rank 3	3
Characterizations of a class of planar functions over finite fields	3
The extended codes of some linear codes	3
On subgroup perfect codes in Cayley sum graphs	3
Generalized almost perfect nonlinear binomials and trinomials over fields of prime-square order	3
On cyclic algebraic-geometry codes	3
On the boomerang uniformity of permutations of low Carlitz rank	3
Nilpotent linearized polynomials over finite fields, revisited	3
Super-regular Steiner 2-designs	3
Editorial Board	3
Existence of pencils with nonblocking hypersurfaces	3
Probabilistic Galois theory in function fields	3
The Gross-Koblitz formula and almost circulant matrices related to Jacobi sums	3
On the sumsets of units and exceptional units in residue class rings	3
On primitive elements of finite fields avoiding affine hyperplanes	3
Skew constacyclic codes of lengths p and 2p over F	3
Denniston partial difference sets exist in the odd prime case	3
On r-primitive k-normal elements with prescribed norm and trace over finite fields	3
New constructions of optimal (r,δ)-LRCs via good polynomials	3
Additive cyclic complementary dual codes over F	3
An approach to the moments subset sum problem through systems of diagonal equations over finite fields	3
Permutation binomials of the form x(x−1 + a) over F	3
Fq	3
Multislant matrices and Jacobi–Trudi determinants over finite fields	3
Exceptionality of (X+1)  + (X−1)	3
Certain diagonal equations and conflict-avoiding codes of prime lengths	3
The probability of spanning a classical space by two non-degenerate subspaces of complementary dimensions	3
Application of the Cartier operator in coding theory	3
Linear families of smooth hypersurfaces over finitely generated fields	3
On matrix algebras isomorphic to finite fields and planar Dembowski-Ostrom monomials	3
Spectral properties of Cayley graphs over M×(F)	3
On CCZ-equivalence between the Bracken-Tan-Tan function and power functions	3
Goppa codes over the p-adic integers and integers modulo p	3
Editorial Board	3
On the number of irreducible factors with a given multiplicity in function fields	3
Transverse linear subspaces to hypersurfaces over finite fields	3
Arithmetic progressions in certain subsets of finite fields	3
Analysis of generalized continued fraction algorithms over polynomials	3
Few-weight codes over a non-chain ring associated with simplicial complexes and their distance optimal Gray image	3
Two families of optimal ternary cyclic codes with minimal distance four	3
Intersecting families of polynomials over finite fields	3
An algebraic attack to the Bluetooth stream cipher E0	3
Primality proving using elliptic curves with complex multiplication by imaginary quadratic fields of class number three	3
Two classes of twisted generalized Reed-Solomon codes with two twists	3
Constructing permutation polynomials over F	3
An approach to normal polynomials through symmetrization and symmetric reduction	3
AG codes on flag bundles over a curve	3
Degree of orthomorphism polynomials over finite fields	3
On monomial generalized almost perfect nonlinear functions	3
On cohomology of generalized Suzuki curves and exponential sums	3

Representations of group actions and their applications in cryptography

3