Finite Fields and Their Applications

Article	Citations
Linear codes with few weights over finite fields	22
Achromatic colorings of polarity graphs	22
Editorial Board	21
Constructing differentially 4-uniform involutions over F	19
A new construction for q-ary constant weight codes	18
Construction of highly nonlinear permutations on Z	18
Singleton-optimal LRCs and perfect LRCs via cyclic and constacyclic codes	16
Counting roots of fully triangular polynomials over finite fields	16
Group LCD and group reversible LCD codes	14
New classes of optimal p-ary cyclic codes with minimum distance four	14
Simple matrix cryptosystem is not broken by Liu's attack	14
Editorial Board	13
New classes of permutation trinomials of F	13
Decoding up to Hartmann–Tzeng and Roos bounds for rank codes	12
Editorial Board	11
The resultant method in higher dimensions	11
Constructions and decoding of GC-balanced codes for edit errors	11
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
Sum-rank product codes and bounds on the minimum distance	10
A note on the intersection of two distinct constacyclic codes	10
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
Oriented supersingular elliptic curves and Eichler orders of prime level	9
Non-isomorphic maximal function fields of genus q − 1	9
Editorial Board	9
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
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
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
Investigating the exceptionality of scattered polynomials	7
Negative Latin square type partial difference sets in nonabelian groups of order 64	7
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
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
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
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
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
A formula on the weight distribution of linear codes with applications to AMDS codes	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
Goppa codes over the p-adic integers and integers modulo p	4
On the graph of non-degenerate linear [n,2]2 codes	4
The cross-correlation values of a class of sequences with different lengths	4
Three proofs of an observation on irreducible polynomials over GF(2)	4
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
On cohomology of generalized Suzuki curves and exponential sums	4
The radical of binary dimensional dual hyperovals	4
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
Editorial Board	3
Spectral properties of Cayley graphs over M×(F)	3
Nilpotent linearized polynomials over finite fields, revisited	3
Two classes of twisted generalized Reed-Solomon codes with two twists	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
Editorial Board	3
Two families of optimal ternary cyclic codes with minimal distance four	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
On CCZ-equivalence between the Bracken-Tan-Tan function and power functions	3
An approach to the moments subset sum problem through systems of diagonal equations over finite fields	3
Intersecting families of polynomials over finite fields	3
The extended codes of some linear codes	3
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
Constructions of projective linear codes by the intersection and difference of sets	2
A quasidouble of the affine plane of order 4 and the solution of a problem on additive designs	2
The distance function on Coxeter-like graphs and self-dual codes	2
The differential uniformity of the power functions	2
Exponential sums and rigid cohomology	2
Two-weight or three-weight binary linear codes from cyclotomic mappings	2
On the distribution of quadratic residues	2
Fractional decoding of r-Hermitian codes	2
Index calculus algorithm for non-planar curves	2
On an Erdős-type conjecture on F	2
Two absolutely irreducible polynomials over F	2
The Bertini irreducibility theorem for higher codimensional slices	2
Some results on linear subspace codes	2
The complexity of elliptic normal bases	2
Weierstrass semigroups and automorphism group of a maximal function field with the third largest possible genus, q ≡ 1 (mod 3)	2
Threshold functions for incidence properties in finite vector spaces	2
Partial permutation decoding and PD-sets for Z	2
Construction of ε-ASIC-POVMs via 2-to-1 PN functions and the Li bound	2
A multistep strategy for polynomial system solving over finite fields and a new algebraic attack on the stream cipher Trivium	2
Genus fields of Kummer extensions of rational function fields	2
Editorial Board	2
Irreducible polynomials from a cubic transformation	2
Polynomial p-adic low-discrepancy sequences	2
The syndromes decoding algorithm in group codes	2
Weight distributions of generalized quasi-cyclic codes over F	2
Self-orthogonal quasi-abelian codes are asymptotically good	2
Grassmannians of codes	2
Invariant rational functions, linear fractional transformations and irreducible polynomials over finite fields	2
Regular sets of lines in rank 3 polar spaces	2
Design of concatenative complete complementary codes for CCC-CDMA via specific sequences and extended Boolean functions	2
Partitioned difference families and harmonious linear spaces	2
Near-MDS codes from maximal arcs in PG(2,q)	2
Superzeta functions on function fields	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
A Bertini type theorem for pencils over finite fields	2
On permutation quadrinomials from Niho exponents in characteristic two	2
Editorial Board	2
New Galois hulls of generalized Reed-Solomon codes	2
Note on Budaghyan and Carlet's almost perfect nonlinear functions	2
The most symmetric smooth cubic surface over a finite field of characteristic 2	2
Several families of binary cyclic codes with good parameters	2
Fagundes-Mello conjecture over a finite field	2
Circularity in finite fields and solutions of the equations  +  −  = 1	2
Configurations of rectangles in F	2
Several classes of permutation polynomials over the finite field F	2
Primitive normal pairs with prescribed norm and trace	2
Semi-regularity of pairs of Boolean polynomials	2
On the Ding and Helleseth's 7th open problem about optimal ternary cyclic codes	2
MDS and AMDS symbol-pair codes constructed from repeated-root cyclic codes	2
Non-standard linear recurring sequence subgroups in finite fields and automorphisms of cyclic codes I	2
Generalized trigonometry and Chebyshev functions in finite fields	2
Decoding algorithms in group codes	2
Self-dual 2-quasi negacyclic codes over finite fields	2
Maximality of Ciani curves over finite fields	2
Computing the minimum distance of the C(	2
A characterization and an explicit description of all primitive polynomials of degree two	2
Higher Grassmann codes II	2
Construction of extremal Type II Z	2
Editorial Board	2
Characterizations of a class of planar functions over finite fields	2
Characterising elliptic and hyperbolic hyperplanes of the parabolic quadric Q	2
An analogue of Girstmair's formula in function fields	2
The automorphism group of the p-torsion points of an elliptic curve over a field of characteristic p ≥ 5	2
Pell hyperbolas in DLP–based cryptosystems	2
Two-point AG codes from the Beelen-Montanucci maximal curve	2
Some counterexamples for a version of Springer's theorem on forms of higher degree	2
On the construction of nonbinary LCD quadratic residue and double quadratic residue codes	1
On the constructions of Zp	1
On self-dual completely regular codes with covering radius ρ ≤ 3	1
On the clique number of Paley graphs of prime power order	1
Several new classes of p-ary weakly regular plateaued functions and minimal codes with several weights	1
Several classes of Galois self-orthogonal MDS codes and related applications	1
Additive one-rank hull codes over finite fields	1
Double circulant codes from cubic cyclotomy	1
New advances in permutation decoding of first-order Reed-Muller codes	1
Four infinite families of ternary cyclic codes with a square-root-like lower bound	1
Permutation polynomials of finite fields of even characteristic from character sums	1
Square values of several polynomials over a finite field	1
Two classes of permutation trinomials over F	1
Editorial Board	1
On the distribution of the entries of a fixed-rank random matrix over a finite field	1
Pseudorandom vector generation using elliptic curves and applications to Wiener processes	1
Weight enumerators of all cubic-primitive irreducible cyclic codes of odd prime power length	1
Galois subcovers of the Hermitian curve in characteristic p with respect to subgroups of order p2	1
On a girth–free variant of the Bourgain–Gamburd machine	1
On the Rosenhain forms of superspecial curves of genus two	1
On the number of k-normal elements and F	1
Appell series over finite fields and modular forms	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