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
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
Brocard-Ramanujan problem for polynomials over finite fields	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
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
Oriented supersingular elliptic curves and Eichler orders of prime level	8
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
(2p + 1)-class association schemes from the generalized Maiorana-McFarland class	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
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
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
The Gross-Koblitz formula and almost circulant matrices related to Jacobi sums	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
On the number of irreducible factors with a given multiplicity in function fields	4
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
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
Existence of pencils with nonblocking hypersurfaces	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
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
Cardinality-consistent flag codes with larger cardinality	4
On the graph of non-degenerate linear [n,2]2 codes	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
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
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
Maximality of Ciani curves over finite fields	2
On subgroup perfect codes in Cayley sum graphs	2
The Bertini irreducibility theorem for higher codimensional slices	2
Two classes of NMDS codes from Roth-Lempel codes	2
Fagundes-Mello conjecture over a finite field	2
Quantum MDS codes induced by the projective linear transformation	2
The most symmetric smooth cubic surface over a finite field of characteristic 2	2
Near-MDS codes from maximal arcs in PG(2,q)	2
Editorial Board	2
On the Ding and Helleseth's 7th open problem about optimal ternary cyclic codes	2
Several classes of permutation polynomials over the finite field F	2
Non-standard linear recurring sequence subgroups in finite fields and automorphisms of cyclic codes I	2
Decoding GAG codes beyond half the Özbudak–Stichtenoth bound	2
Construction of three class of at most four-weight binary linear codes and their applications	2
New Galois hulls of generalized Reed-Solomon codes	2
Central and non-central metacyclic codes	2
Galois lines for a space model of the quotient of the Hermitian curve by an involution in odd characteristic	2
One-weight codes in the sum-rank metric	2
Characterizations of a class of planar functions over finite fields	2
Threshold functions for incidence properties in finite vector spaces	2
Generalized trigonometry and Chebyshev functions in finite fields	2
Certain diagonal equations and conflict-avoiding codes of prime lengths	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
Weierstrass semigroups and automorphism group of a maximal function field with the third largest possible genus, q ≡ 1 (mod 3)	2
Editorial Board	2
Partial permutation decoding and PD-sets for Z	2
Pell hyperbolas in DLP–based cryptosystems	2
A multistep strategy for polynomial system solving over finite fields and a new algebraic attack on the stream cipher Trivium	2
Computing the minimum distance of the C(	2
On an Erdős-type conjecture on F	2
Construction of ε-ASIC-POVMs via 2-to-1 PN functions and the Li bound	2
Two absolutely irreducible polynomials over F	2
An analogue of Girstmair's formula in function fields	2
The differential uniformity of the power functions	2
On permutation quadrinomials from Niho exponents in characteristic two	2
Explicit representatives and sizes of cyclotomic cosets and their application to cyclic codes over finite fields	2
A characterization and an explicit description of all primitive polynomials of degree two	2
The complexity of elliptic normal bases	2
Weight distributions of generalized quasi-cyclic codes over F	2
Superzeta functions on function fields	2
On the PGL2(q)-orbits of lines of PG(3,q) and binary quartic forms in characteristic three	2
The automorphism group of the p-torsion points of an elliptic curve over a field of characteristic p ≥ 5	2
Editorial Board	2
Index calculus algorithm for non-planar curves	2
Partitioned difference families and harmonious linear spaces	2
Additive cyclic complementary dual codes over F	2
Higher Grassmann codes II	2
MDS and AMDS symbol-pair codes constructed from repeated-root cyclic codes	2
Some results on linear subspace codes	2
Construction of extremal Type II Z	2
Circularity in finite fields and solutions of the equations  +  −  = 1	2
Note on Budaghyan and Carlet's almost perfect nonlinear functions	2
Decoding algorithms in group codes	2
Some counterexamples for a version of Springer's theorem on forms of higher degree	2
Polynomial p-adic low-discrepancy sequences	2
Self-dual 2-quasi negacyclic codes over finite fields	2
The distance function on Coxeter-like graphs and self-dual codes	2
On the distribution of quadratic residues	2
Mean value theorems for short rational exponential sums	2
Constructions of projective linear codes by the intersection and difference of sets	2
Binary linear codes with at most three weights from cyclotomic mappings	2
Irreducible polynomials from a cubic transformation	2
Several families of binary cyclic codes with good parameters	2
Two-weight or three-weight binary linear codes from cyclotomic mappings	2
Configurations of rectangles in F	2
Application of the Cartier operator in coding theory	2
Regular sets of lines in rank 3 polar spaces	2
Poncelet triangles and tetragons over finite fields	1
Several new classes of p-ary weakly regular plateaued functions and minimal codes with several weights	1
Construction of systematic (k + 1,k) memory MDS sliding window codes over embedded fields	1
Double circulant codes from cubic cyclotomy	1
On self-dual completely regular codes with covering radius ρ ≤ 3	1
On a girth–free variant of the Bourgain–Gamburd machine	1
Classification of fractional projective permutations over finite fields	1
Editorial Board	1
Zeros of a system of diagonal polynomials over finite fields	1
Square values of several polynomials over a finite field	1
On the distribution of the entries of a fixed-rank random matrix over a finite field	1
Galois subcovers of the Hermitian curve in characteristic p with respect to subgroups of order p2	1
Four infinite families of ternary cyclic codes with a square-root-like lower bound	1
Two classes of permutation trinomials over F	1
Permutation polynomials of finite fields of even characteristic from character sums	1
Pseudorandom vector generation using elliptic curves and applications to Wiener processes	1
Permutation polynomials and involutions over the finite field	1
Additive one-rank hull codes over finite fields	1
Appell series over finite fields and modular forms	1
Maximal curves and Tate-Shafarevich results for quartic and sextic twists	1
On the constructions of Zp	1
On the Rosenhain forms of superspecial curves of genus two	1
Function-correcting codes with homogeneous distance	1
Several classes of Galois self-orthogonal MDS codes and related applications	1