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	20
A new construction for q-ary constant weight codes	19
Singleton-optimal LRCs and perfect LRCs via cyclic and constacyclic codes	17
Counting roots of fully triangular polynomials over finite fields	17
Linear codes with few weights over finite fields	17
Construction of highly nonlinear permutations on Z	16
Constructing differentially 4-uniform involutions over F	16
Group LCD and group reversible LCD codes	16
A note on the intersection of two distinct constacyclic codes	15
On the minimum weights of binary LCD codes and ternary LCD codes	15
Editorial Board	15
Weight distribution of double cyclic codes over F<	14
Several classes of linear codes with few weights from the closed butterfly structure	13
Quadratic residue patterns, algebraic curves and a K3 surface	12
Editorial Board	12
Paley-like graphs over finite fields from vector spaces	12
The resultant method in higher dimensions	11
Constructions and decoding of GC-balanced codes for edit errors	11
A structure theorem for the restricted sum of four squares	10
Stephen D. Cohen's contributions to the finite fields community	9
New classes of permutation trinomials of F	9
Investigating the exceptionality of scattered polynomials	9
Diagonal hypersurfaces and elliptic curves over finite fields and hypergeometric functions	9

On divisors of sums of polynomials	9
Non-isomorphic maximal function fields of genus q − 1	9
Sum-rank product codes and bounds on the minimum distance	9
Oriented supersingular elliptic curves and Eichler orders of prime level	8
An infinite family of Griesmer quasi-cyclic self-orthogonal codes	8
A spherical extension theorem and applications in positive characteristic	8
On the Northcott property of zeta functions over function fields	8
Bounds in the Lee metric and optimal codes	8
Two classes of LCD BCH codes over finite fields	8
(2p + 1)-class association schemes from the generalized Maiorana-McFarland class	8
Corrigendum to “Artin's primitive root conjecture for function fields revisited” [Finite Fields Appl. 67 (2020) 101713]	8
Well-covered unitary Cayley graphs of matrix rings over finite fields and applications	8
Davenport and Hasse's theorems and lifts of multiplication matrices of Gaussian periods	7
New constructions of optimal binary LCD codes	7
Editorial Board	7
Non-trivial t-intersecting families for symplectic polar spaces	7
How to construct CSIDH on Edwards curves	7
Multi-orbit cyclic subspace codes and linear sets	7
Negative Latin square type partial difference sets in nonabelian groups of order 64	7
More classes of permutation pentanomials over finite fields with characteristic two	6
Weierstrass semigroups and automorphism group of a maximal curve with the third largest genus	6
Function field genus theory for non-Kummer extensions	6
BRK-type sets over finite fields	6
New classes of permutation trinomials over F	6
On the number of Diophantine m-tuples in finite fields	6
Hulls of double cyclic codes	6
In Memory of Professor Zhexian Wan	6
A new identity of Dickson polynomials	6
Correlation of shifted values of L-functions in the hyperelliptic ensemble	6
A lower bound on HMOLS with equal sized holes	6
Extending two families of bivariate APN functions	6
Girth of the algebraic bipartite graph D(k,q)	5
Linear codes from planar functions and related covering codes	5
A correct justification for the CHMT algorithm for solving underdetermined multivariate systems	5
A note on t-designs in isodual codes	5
The R-transform as power map and its generalizations to higher degree	5
A further study on the Ness-Helleseth function	5
On a class of permutation polynomials and their inverses	5
Several classes of permutation polynomials of the form (	5
On non-monomial APcN permutations over finite fields of even characteristic	5
Further improvements to the Chevalley-Warning theorems	5
New constructions of permutation polynomials of the form x5
On pencils of cubics on the projective line over finite fields of characteristic >3	5
Energy bounds, bilinear forms and their applications in function fields	5
Iterative constructions of irreducible polynomials from isogenies	5
Editorial Board	5
Small solutions of generic ternary quadratic congruences to general moduli	5
Generic Newton polygons for L-functions of (A,B)-exponential sums	5
Counting points on diagonal equations over Galois rings GR(p2,2n)	5
On sums and products of combinatorial cubes	4

Generalized almost perfect nonlinear binomials and trinomials over fields of prime-square order	4
Editorial Board	4
On the graph of non-degenerate linear [n,2]2 codes	4
Complete weight enumerators for several classes of two-weight and three-weight linear codes	4
Automorphisms of the supersingular isogeny graph	4
On codes in the projective linear group PGL(2,q)	4
On dual-containing, almost dual-containing matrix-product codes and related quantum codes	4
On the number of zeros to the equation f(x1)+... + f(x)=a over finite fields	4
Editorial Board	4
Permutation polynomials of the form xh(x−1) over F	4
Bound on the minimum distance of double circulant cubic residue codes	4
The isomorphism problem in the context of PI-theory for two-dimensional Jordan algebras	4
On the relative growth rate of the product of consecutive partial quotients in continued fraction expansions of Laurent series	4
Fourth power mean of the general s-dimensional Kloosterman sum mod p	4
Extending two families of maximum rank distance codes	4
On LCD codes from skew symmetric Toeplitz matrices	4
Editorial Board	4
Some new constructions of MDS self-dual codes over finite fields	4
On the number of irreducible factors with a given multiplicity in function fields	4
Improvements of the Hasse-Weil-Serre bound over global function fields	4
The radical of binary dimensional dual hyperovals	4
Editorial Board	4
Three proofs of an observation on irreducible polynomials over GF(2)	4
On the Newton polygons of twisted L-functions of binomials	4
A formula on the weight distribution of linear codes with applications to AMDS codes	4
Rational points of lattice ideals on a toric variety and toric codes	4
List decoding of maximal order codes over number fields	4
Coset-wise affine functions and cycle types of complete mappings	4
Spectral properties of Cayley graphs over M×(F)	3
Existence of pencils with nonblocking hypersurfaces	3
Exceptionality of (X+1)  + (X−1)	3
On CCZ-equivalence between the Bracken-Tan-Tan function and power functions	3
Permutation binomials of the form x(x−1 + a) over F	3
Primality proving using elliptic curves with complex multiplication by imaginary quadratic fields of class number three	3
On the boomerang uniformity of permutations of low Carlitz rank	3
Application of the Cartier operator in coding theory	3
The extended codes of some linear codes	3
On cyclic algebraic-geometry codes	3
Fq	3
Arithmetic progressions in certain subsets of finite fields	3
Two families of optimal ternary cyclic codes with minimal distance four	3
New constructions of optimal (r,δ)-LRCs via good polynomials	3
Investigations of c-differential uniformity of permutations with Carlitz rank 3	3
Degree of orthomorphism polynomials over finite fields	3
Editorial Board	3
Goppa codes over the p-adic integers and integers modulo p	3
Linear families of smooth hypersurfaces over finitely generated fields	3
Transverse linear subspaces to hypersurfaces over finite fields	3
Intersecting families of polynomials over finite fields	3
Nilpotent linearized polynomials over finite fields, revisited	3
Super-regular Steiner 2-designs	3
Editorial Board	3
An approach to the moments subset sum problem through systems of diagonal equations over finite fields	3
Representations of group actions and their applications in cryptography	3
An algebraic attack to the Bluetooth stream cipher E0	3
AG codes on flag bundles over a curve	3
On r-primitive k-normal elements with prescribed norm and trace over finite fields	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
The Gross-Koblitz formula and almost circulant matrices related to Jacobi sums	3
On cohomology of generalized Suzuki curves and exponential sums	3
The cross-correlation values of a class of sequences with different lengths	3
Two classes of twisted generalized Reed-Solomon codes with two twists	3
Cyclotomic matrices and hypergeometric functions over finite fields	3
Multislant matrices and Jacobi–Trudi determinants over finite fields	3
Certain diagonal equations and conflict-avoiding codes of prime lengths	3
Denniston partial difference sets exist in the odd prime case	3
Editorial Board	3
The probability of spanning a classical space by two non-degenerate subspaces of complementary dimensions	3
Skew constacyclic codes of lengths p and 2p over F	3
An approach to normal polynomials through symmetrization and symmetric reduction	3
Probabilistic Galois theory in function fields	3
On primitive elements of finite fields avoiding affine hyperplanes	3
On monomial generalized almost perfect nonlinear functions	3
On the functional graph of f(X)=c(X+1 + aX2) over quadratic extensions of finite fields	2
Few-weight codes over a non-chain ring associated with simplicial complexes and their distance optimal Gray image	2
The Bertini irreducibility theorem for higher codimensional slices	2
Characterizations of a class of planar functions over finite fields	2
New Galois hulls of generalized Reed-Solomon codes	2
Genus fields of Kummer extensions of rational function fields	2

Threshold functions for incidence properties in finite vector spaces	2
A Bertini type theorem for pencils over finite fields	2
Near-MDS codes from maximal arcs in PG(2,q)	2
New binary self-dual codes of lengths 56, 58, 64, 80 and 92 from a modification of the four circulant construction	2
The most symmetric smooth cubic surface over a finite field of characteristic 2	2
Polynomial p-adic low-discrepancy sequences	2
Characterising elliptic and hyperbolic hyperplanes of the parabolic quadric Q	2
The weight enumerators of singly-even self-dual [88,44,14] codes and new binary self-dual [68,34,12] and [88,44,14] codes	2
On the distribution of quadratic residues	2
Self-orthogonal quasi-abelian codes are asymptotically good	2
Regular sets of lines in rank 3 polar spaces	2
Grassmannians of codes	2
Design of concatenative complete complementary codes for CCC-CDMA via specific sequences and extended Boolean functions	2
A quasidouble of the affine plane of order 4 and the solution of a problem on additive designs	2
LCD codes from tridiagonal Toeplitz matrices	2
Five infinite families of binary cyclic codes and their related codes with good parameters	2
Construction of ε-ASIC-POVMs via 2-to-1 PN functions and the Li bound	2
Two-point AG codes from the Beelen-Montanucci maximal curve	2
Higher Grassmann codes II	2
Non-standard linear recurring sequence subgroups in finite fields and automorphisms of cyclic codes I	2
On subgroup perfect codes in Cayley sum graphs	2
Irreducible polynomials from a cubic transformation	2
Editorial Board	2
The complexity of elliptic normal bases	2
Partial permutation decoding and PD-sets for Z	2
An analogue of Girstmair's formula in function fields	2
Generalized trigonometry and Chebyshev functions in finite fields	2
Note on Budaghyan and Carlet's almost perfect nonlinear functions	2
New singly and doubly even binary [72,36,12] self-dual codes from M2(R)G - group matrix rings	2
Two-weight or three-weight binary linear codes from cyclotomic mappings	2
Fagundes-Mello conjecture over a finite field	2
Several classes of permutation polynomials over the finite field F	2
Editorial Board	2
Application of Hermitian self-orthogonal GRS codes to some quantum MDS codes	2
The distance function on Coxeter-like graphs and self-dual codes	2
The syndromes decoding algorithm in group codes	2
Embeddings of Ree unitals in a projective plane over a field	2
Primitive normal pairs with prescribed norm and trace	2
On exponential sums of x + λx with p ≡ e(mod d)	2
On the Ding and Helleseth's 7th open problem about optimal ternary cyclic codes	2
Index calculus algorithm for non-planar curves	2
The weight distributions of linear sets in PG(1,q5)	2
Some results on linear subspace codes	2
Self-dual 2-quasi negacyclic codes over finite fields	2
Constructing permutation polynomials over F	2
Exponential sums and rigid cohomology	2
Additive cyclic complementary dual codes over F	2
Configurations of rectangles in F	2
The automorphism group of the p-torsion points of an elliptic curve over a field of characteristic p ≥ 5	2
Extending the GLS endomorphism to speed up GHS Weil descent using Magma	2
Pell hyperbolas in DLP–based cryptosystems	2
Weight distributions of generalized quasi-cyclic codes over F	2
Superzeta functions on function fields	2
A multistep strategy for polynomial system solving over finite fields and a new algebraic attack on the stream cipher Trivium	2
Circularity in finite fields and solutions of the equations  +  −  = 1	2
On permutation quadrinomials from Niho exponents in characteristic two	2
Construction of extremal Type II Z	2
Several families of binary cyclic codes with good parameters	2
Invariant rational functions, linear fractional transformations and irreducible polynomials over finite fields	2
Maximality of Ciani curves over finite fields	2
MDS and AMDS symbol-pair codes constructed from repeated-root cyclic codes	2
Fractional decoding of r-Hermitian codes	2
Almost affinely disjoint subspaces	2
The differential uniformity of the power functions x	2
Partitioned difference families and harmonious linear spaces	2
Semi-regularity of pairs of Boolean polynomials	2
A class of almost MDS codes	2
Constructions of projective linear codes by the intersection and difference of sets	2
A correction and further improvements to the Chevalley-Warning theorems	2
Central and non-central metacyclic codes	2
On diagonal equations over finite fields via walks in NEPS of graphs	1
Four infinite families of ternary cyclic codes with a square-root-like lower bound	1
Additive one-rank hull codes over finite fields	1
Editorial Board	1
On the square code of group codes	1
On the construction of nonbinary LCD quadratic residue and double quadratic residue codes	1
Editorial Board	1
On the distribution of the entries of a fixed-rank random matrix over a finite field	1
Construction of systematic (k + 1,k) memory MDS sliding window codes over embedded fields	1
Maximal curves and Tate-Shafarevich results for quartic and sextic twists	1
Appell series over finite fields and modular forms	1
Several classes of Galois self-orthogonal MDS codes and related applications	1
Editorial Board	1
Further results on optimal ternary cyclic codes	1
Pseudorandom vector generation using elliptic curves and applications to Wiener processes	1
Zeros of a system of diagonal polynomials over finite fields	1
Classification of fractional projective permutations over finite fields	1
Weight enumerators of all cubic-primitive irreducible cyclic codes of odd prime power length	1
On the computation of r-th roots in finite fields	1
Double circulant codes from cubic cyclotomy	1
Complete solution over F	1
Solids in the space of the Veronese surface in even characteristic	1
Two classes of permutation trinomials over F	1
Galois subcovers of the Hermitian curve in characteristic p with respect to subgroups of order p2	1
On the number of k-normal elements and F	1