Finite Fields and Their Applications

Article	Citations
Achromatic colorings of polarity graphs	28
Editorial Board	22
Construction of highly nonlinear permutations on Z	21
A new construction for q-ary constant weight codes	20
Counting roots of fully triangular polynomials over finite fields	20
Linear codes with few weights over finite fields	17
New classes of optimal p-ary cyclic codes with minimum distance four	14
Simple matrix cryptosystem is not broken by Liu's attack	14
Group LCD and group reversible LCD codes	13
Editorial Board	12
Singleton-optimal LRCs and perfect LRCs via cyclic and constacyclic codes	12
On divisors of sums of polynomials	12
Weight distribution of double cyclic codes over F<	12
The resultant method in higher dimensions	12
Brocard-Ramanujan problem for polynomials over finite fields	12
Editorial Board	11
Decoding up to Hartmann–Tzeng and Roos bounds for rank codes	11
A structure theorem for the restricted sum of four squares	11
A note on the intersection of two distinct constacyclic codes	11
Paley-like graphs over finite fields from vector spaces	11
Trace duality and additive complementary pairs of additive cyclic codes over finite chain rings	11
Corrigendum to “Higher Grassmann codes II” [Finite Fields Appl. 89 (2023) 102211]	10
New classes of permutation trinomials of F	10
Quadratic residue patterns, algebraic curves and a K3 surface	10
Constructions and decoding of GC-balanced codes for edit errors	9

Oriented supersingular elliptic curves and Eichler orders of prime level	8
Normal and primitive normal elements with prescribed traces in intermediate extensions of finite fields	8
Bounds on the size of (r,δ)-locally repairable codes for fixed values q and d	8
Non-isomorphic maximal function fields of genus q − 1	8
Sum-rank product codes and bounds on the minimum distance	8
Editorial Board	8
Stephen D. Cohen's contributions to the finite fields community	8
Linear l-intersection pairs of matrix-product codes and their applications	8
How to construct CSIDH on Edwards curves	7
Well-covered unitary Cayley graphs of matrix rings over finite fields and applications	7
Counting irreducible polynomials with restricted coefficients	7
Diagonal hypersurfaces and elliptic curves over finite fields and hypergeometric functions	7
Bounds in the Lee metric and optimal codes	7
Two classes of LCD BCH codes over finite fields	7
On quadratic character sums over quartics	7
Negative Latin square type partial difference sets in nonabelian groups of order 64	7
A spherical extension theorem and applications in positive characteristic	7
(2p + 1)-class association schemes from the generalized Maiorana-McFarland class	7
The Erdős-Rado sunflower problem for vector spaces	6
New constructions of optimal binary LCD codes	6
A new identity of Dickson polynomials	6
New classes of permutation trinomials over F	6
On the number of Diophantine m-tuples in finite fields	6
On the Northcott property of zeta functions over function fields	6
BRK-type sets over finite fields	6
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
Editorial Board	6
Extending two families of bivariate APN functions	6
Multi-orbit cyclic subspace codes and linear sets	6
In Memory of Professor Zhexian Wan	6
Davenport and Hasse's theorems and lifts of multiplication matrices of Gaussian periods	6
Hulls of double cyclic codes	6
A note on t-designs in isodual codes	5
On the Newton polygons of twisted L-functions of binomials	5
Further improvements to the Chevalley-Warning theorems	5
Small solutions of generic ternary quadratic congruences to general moduli	5
Products of involutions in symplectic groups over general fields (II): Finite fields	5
On a class of permutation polynomials and their inverses	5
Linear codes arising from the point-hyperplane geometry-Part I: The Segre embedding	5
Energy bounds, bilinear forms and their applications in function fields	5
A further study on the Ness-Helleseth function	5
On certain F	5
Transverse-freeness in finite geometries	5
Construction of Galois self-orthogonal MDS codes with larger dimensions	5
Linear codes from planar functions and related covering codes	5
Iterative constructions of irreducible polynomials from isogenies	5
Girth of the algebraic bipartite graph D(k,q)	5
The R-transform as power map and its generalizations to higher degree	5
Counting points on diagonal equations over Galois rings GR(p2,2n)	5

Upper bounds for L-functions in positive characteristic	5
New constructions of permutation polynomials of the form x5
A correct justification for the CHMT algorithm for solving underdetermined multivariate systems	5
Function field genus theory for non-Kummer extensions	5
On non-monomial APcN permutations over finite fields of even characteristic	5
A family of optimal dual-containing and reversible linear codes over	4
Construction of (n,n)-functions with low differential-linear uniformity	4
An unusual family of supersingular curves of genus five in characteristic two	4
The cross-correlation values of a class of sequences with different lengths	4
The isomorphism problem in the context of PI-theory for two-dimensional Jordan algebras	4
List decoding of maximal order codes over number fields	4
Improvements of the Hasse-Weil-Serre bound over global function fields	4
Rational points of lattice ideals on a toric variety and toric codes	4
On LCD codes from skew symmetric Toeplitz matrices	4
Permutation polynomials of the form xh(x−1) over F	4
On two conjectures of the duals of AMDS BCH codes	4
Editorial Board	4
Generator polynomial matrices of the Galois hulls of multi-twisted codes	4
Extending two families of maximum rank distance codes	4
Kneser's theorem for codes and ℓ-divisible set families	4
Editorial Board	4
Editorial Board	4
On the study of semi-involutory and semi-orthogonal matrices	4
Fourth power mean of the general s-dimensional Kloosterman sum mod p	4
On dual-containing, almost dual-containing matrix-product codes and related quantum codes	4
On cohomology of generalized Suzuki curves and exponential sums	4
Goppa codes over the p-adic integers and integers modulo p	4
On the number of irreducible factors with a given multiplicity in function fields	4
Coset-wise affine functions and cycle types of complete mappings	4
Existence of pencils with nonblocking hypersurfaces	4
Automorphisms of the supersingular isogeny graph	4
Bound on the minimum distance of double circulant cubic residue codes	4
Editorial Board	4
Two families of self-orthogonal codes with applications in LCD codes and optimally extendable codes	4
(σ,τ)-derivations of group rings with applications	3
Nilpotent linearized polynomials over finite fields, revisited	3
Editorial Board	3
Partial difference sets from unions of cyclotomic classes	3
Probabilistic Galois theory in function fields	3
Two classes of twisted generalized Reed-Solomon codes with two twists	3
Arithmetic progressions in certain subsets of finite fields	3
Super-regular Steiner 2-designs	3
Transverse linear subspaces to hypersurfaces over finite fields	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
Fq	3
The third generalized covering radius for binary primitive double-error-correcting BCH codes	3
Generalized almost perfect nonlinear binomials and trinomials over fields of prime-square order	3
The probability of spanning a classical space by two non-degenerate subspaces of complementary dimensions	3
Exceptionality of (X+1)  + (X−1)	3
Intersecting families of polynomials over finite fields	3
Skew constacyclic codes of lengths p and 2p over F	3
On the graph of non-degenerate linear [n,2]2 codes	3
Primality proving using elliptic curves with complex multiplication by imaginary quadratic fields of class number three	3
The extended codes of some linear codes	3
Cyclotomic matrices and hypergeometric functions over finite fields	3
Linear families of smooth hypersurfaces over finitely generated fields	3
On CCZ-equivalence between the Bracken-Tan-Tan function and power functions	3
Denniston partial difference sets exist in the odd prime case	3
New constructions of optimal (r,δ)-LRCs via good polynomials	3
The Gross-Koblitz formula and almost circulant matrices related to Jacobi sums	3
Three proofs of an observation on irreducible polynomials over GF(2)	3
A new family of maximum linear symmetric rank-distance codes	3
On matrix algebras isomorphic to finite fields and planar Dembowski-Ostrom monomials	3
Almost Steiner systems in finite classical polar spaces	3
Editorial Board	3
On the sumsets of units and exceptional units in residue class rings	3
An algebraic attack to the Bluetooth stream cipher E0	3
AG codes on flag bundles over a curve	3
On the boomerang uniformity of permutations of low Carlitz rank	3
On monomial generalized almost perfect nonlinear functions	3
On r-primitive k-normal elements with prescribed norm and trace over finite fields	3
Investigations of c-differential uniformity of permutations with Carlitz rank 3	3
An approach to normal polynomials through symmetrization and symmetric reduction	3
Cardinality-consistent flag codes with larger cardinality	3
The radical of binary dimensional dual hyperovals	3
Spectral properties of Cayley graphs over M×(F)	3
Several families of binary cyclic codes with good parameters	2
Weight distributions of generalized quasi-cyclic codes over F	2
Application of the Cartier operator in coding theory	2

An analogue of Girstmair's formula in function fields	2
Constructing permutation polynomials over F	2
Index calculus algorithm for non-planar curves	2
Deep holes of twisted Reed-Solomon codes	2
The distance function on Coxeter-like graphs and self-dual codes	2
A multistep strategy for polynomial system solving over finite fields and a new algebraic attack on the stream cipher Trivium	2
A characterization and an explicit description of all primitive polynomials of degree two	2
Weierstrass semigroups and automorphism group of a maximal function field with the third largest possible genus, q ≡ 1 (mod 3)	2
Construction of extremal Type II Z	2
Threshold functions for incidence properties in finite vector spaces	2
Some counterexamples for a version of Springer's theorem on forms of higher degree	2
Construction of ε-ASIC-POVMs via 2-to-1 PN functions and the Li bound	2
Fagundes-Mello conjecture over a finite field	2
One-weight codes in the sum-rank metric	2
Some results on linear subspace codes	2
The Bertini irreducibility theorem for higher codimensional slices	2
Characterizations of a class of planar functions over finite fields	2
Explicit representatives and sizes of cyclotomic cosets and their application to cyclic codes over finite fields	2
Few-weight codes over a non-chain ring associated with simplicial complexes and their distance optimal Gray image	2
On the distribution of quadratic residues	2
Multislant matrices and Jacobi–Trudi determinants over finite fields	2
Configurations of rectangles in F	2
On subgroup perfect codes in Cayley sum graphs	2
Maximality of Ciani curves over finite fields	2
Polynomial p-adic low-discrepancy sequences	2
Quantum MDS codes induced by the projective linear transformation	2
Partitioned difference families and harmonious linear spaces	2
The automorphism group of the p-torsion points of an elliptic curve over a field of characteristic p ≥ 5	2
Superzeta functions on function fields	2
Irreducible polynomials from a cubic transformation	2
Two classes of NMDS codes from Roth-Lempel codes	2
Several classes of permutation polynomials over the finite field F	2
Higher Grassmann codes II	2
Decoding algorithms in group codes	2
Circularity in finite fields and solutions of the equations  +  −  = 1	2
New Galois hulls of generalized Reed-Solomon codes	2
Additive cyclic complementary dual codes over F	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
Editorial Board	2
MDS and AMDS symbol-pair codes constructed from repeated-root cyclic codes	2
Certain diagonal equations and conflict-avoiding codes of prime lengths	2
Regular sets of lines in rank 3 polar spaces	2
On cyclic algebraic-geometry codes	2
Generalized trigonometry and Chebyshev functions in finite fields	2
Further results on permutation pentanomials over	2
On an Erdős-type conjecture on F	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
Near-MDS codes from maximal arcs in PG(2,q)	2
The complexity of elliptic normal bases	2
Pell hyperbolas in DLP–based cryptosystems	2
Two-weight or three-weight binary linear codes from cyclotomic mappings	2
Two-point AG codes from the Beelen-Montanucci maximal curve	2
Computing the minimum distance of the C(	2
On permutation quadrinomials from Niho exponents in characteristic two	2
On the PGL2(q)-orbits of lines of PG(3,q) and binary quartic forms in characteristic three	2
Editorial Board	2
Central and non-central metacyclic codes	2
Editorial Board	2
Partial permutation decoding and PD-sets for Z	2
Constructions of projective linear codes by the intersection and difference of sets	2
Editorial Board	1
On self-dual completely regular codes with covering radius ρ ≤ 3	1
Maximal curves and Tate-Shafarevich results for quartic and sextic twists	1
Several new classes of p-ary weakly regular plateaued functions and minimal codes with several weights	1
The number of solutions of diagonal cubic equations over finite fields	1
Permutation polynomials of finite fields of even characteristic from character sums	1
Editorial Board	1
The study on three classes of permutation quadrinomials over finite fields of odd characteristic	1
On the square code of group codes	1
More constructions of n-cycle permutations	1
On the Rosenhain forms of superspecial curves of genus two	1
Complete description of measures corresponding to Abelian varieties over finite fields	1
Classification of fractional projective permutations over finite fields	1
Double circulant codes from cubic cyclotomy	1
On the number of k-normal elements and F	1
Permutation polynomials and involutions over the finite field	1
On the computation of r-th roots in finite fields	1
New advances in permutation decoding of first-order Reed-Muller codes	1
Non-Abelian extensions of degree p3 and p4 in characteristic p > 2	1
Several classes of Galois self-orthogonal MDS codes and related applications	1
On the differential spectrum of a differentially 3-uniform power function	1
On linear representation, complexity and inversion of maps over finite fields	1
Implicit functions over finite fields and their applications to good cryptographic functions and linear codes	1
Repeated-root constacyclic codes of length klp over finite fields	1
On the constructions of Zp	1
The explicit values of the UBCT, the LBCT and the DBCT of the inverse function	1
Few-weight linear codes over Fp<	1
On a girth–free variant of the Bourgain–Gamburd machine	1
Several classes of exponential sums and three-valued Walsh spectrums over finite fields	1
Codes and pseudo-geometric designs from the ternary m-sequences with Welch-type decimation d = 2 ⋅ 3(−1)/2 + 1	1
Construction of systematic (k + 1,k) memory MDS sliding window codes over embedded fields	1
Editorial Board	1
On the existence of Galois self-dual GRS and TGRS codes	1
Cyclic locally recoverable LCD codes with the help of cyclotomic polynomials	1