Finite Fields and Their Applications

Article	Citations
Editorial Board	39
Achromatic colorings of polarity graphs	29
New classes of optimal p-ary cyclic codes with minimum distance four	23
A new construction for q-ary constant weight codes	17
Counting roots of fully triangular polynomials over finite fields	16
Linear codes with few weights over finite fields	16
Singleton-optimal LRCs and perfect LRCs via cyclic and constacyclic codes	16
Constructing differentially 4-uniform involutions over F	16
Group LCD and group reversible LCD codes	15
Construction of highly nonlinear permutations on Z	15
On the minimum weights of binary LCD codes and ternary LCD codes	15
A note on the intersection of two distinct constacyclic codes	14
Editorial Board	13
Weight distribution of double cyclic codes over F<	13
New classes of permutation trinomials of F	12
Several classes of linear codes with few weights from the closed butterfly structure	12
Paley-like graphs over finite fields from vector spaces	11
The resultant method in higher dimensions	11
Editorial Board	11
Constructions and decoding of GC-balanced codes for edit errors	11
Sum-rank product codes and bounds on the minimum distance	11
A structure theorem for the restricted sum of four squares	10
Diagonal hypersurfaces and elliptic curves over finite fields and hypergeometric functions	9
Quadratic residue patterns, algebraic curves and a K3 surface	9
On divisors of sums of polynomials	9

How to construct CSIDH on Edwards curves	8
On the Northcott property of zeta functions over function fields	8
Corrigendum to “Artin's primitive root conjecture for function fields revisited” [Finite Fields Appl. 67 (2020) 101713]	8
An infinite family of Griesmer quasi-cyclic self-orthogonal codes	8
Investigating the exceptionality of scattered polynomials	8
Well-covered unitary Cayley graphs of matrix rings over finite fields and applications	8
Bounds in the Lee metric and optimal codes	8
New constructions of optimal binary LCD codes	8
Multi-orbit cyclic subspace codes and linear sets	8
Negative Latin square type partial difference sets in nonabelian groups of order 64	8
Oriented supersingular elliptic curves and Eichler orders of prime level	8
A spherical extension theorem and applications in positive characteristic	8
(2p + 1)-class association schemes from the generalized Maiorana-McFarland class	8
Two classes of LCD BCH codes over finite fields	7
Cyclic Sieving for cyclic codes	7
Extending two families of bivariate APN functions	7
Editorial Board	7
Davenport and Hasse's theorems and lifts of multiplication matrices of Gaussian periods	7
A lower bound on HMOLS with equal sized holes	7
Non-trivial t-intersecting families for symplectic polar spaces	7
New classes of permutation trinomials over F	6
More classes of permutation pentanomials over finite fields with characteristic two	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
A new identity of Dickson polynomials	6
Correlation of shifted values of L-functions in the hyperelliptic ensemble	6
On the number of Diophantine m-tuples in finite fields	6
In Memory of Professor Zhexian Wan	6
Certain character sums, Gaussian hypergeometric series, and their connections to algebraic curves	6
Hulls of double cyclic codes	6
Girth of the algebraic bipartite graph D(k,q)	5
Existence of primitive 2-normal elements in finite fields	5
Counting points on diagonal equations over Galois rings GR(p2,2n)	5
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
On a class of permutation polynomials and their inverses	5
Editorial Board	5
A correct justification for the CHMT algorithm for solving underdetermined multivariate systems	5
Several classes of permutation polynomials of the form (	5
The R-transform as power map and its generalizations to higher degree	5
Linear codes from planar functions and related covering codes	5
Iterative constructions of irreducible polynomials from isogenies	5
On non-monomial APcN permutations over finite fields of even characteristic	5
New constructions of permutation polynomials of the form x5
Small solutions of generic ternary quadratic congruences to general moduli	5
Some new constructions of MDS self-dual codes over finite fields	4
On trinomials of type X+(1 + AX(−1) + BX(−1)), n, m odd, over F	4
Complete weight enumerators for several classes of two-weight and three-weight linear codes	4
Extending two families of maximum rank distance codes	4
Rational points of lattice ideals on a toric variety and toric codes	4

Coset-wise affine functions and cycle types of complete mappings	4
List decoding of maximal order codes over number fields	4
On sums and products of combinatorial cubes	4
On the distribution of multivariate Jacobi sums	4
Generic Newton polygons for L-functions of (A,B)-exponential sums	4
On the Newton polygons of twisted L-functions of binomials	4
On LCD codes from skew symmetric Toeplitz matrices	4
Fourth power mean of the general s-dimensional Kloosterman sum mod p	4
Editorial Board	4
Further improvements to the Chevalley-Warning theorems	4
The isomorphism problem in the context of PI-theory for two-dimensional Jordan algebras	4
A formula on the weight distribution of linear codes with applications to AMDS codes	4
Multiplicative orders of Gauss periods and the arithmetic of real quadratic fields	4
Permutation polynomials of the form xh(x−1) over F	4
A note on t-designs in isodual codes	4
On codes in the projective linear group PGL(2,q)	4
Editorial Board	4
A further study on the Ness-Helleseth function	4
Automorphisms of the supersingular isogeny graph	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
Improvements of the Hasse-Weil-Serre bound over global function fields	4
The Gross-Koblitz formula and almost circulant matrices related to Jacobi sums	3
Probabilistic Galois theory in function fields	3
Linear families of smooth hypersurfaces over finitely generated fields	3
Arithmetic progressions in certain subsets of finite fields	3
An approach to normal polynomials through symmetrization and symmetric reduction	3
On the boomerang uniformity of permutations of low Carlitz rank	3
The cross-correlation values of a class of sequences with different lengths	3
An algebraic attack to the Bluetooth stream cipher E0	3
Existence of pencils with nonblocking hypersurfaces	3
Skew constacyclic codes of lengths p and 2p over F	3
On cohomology of generalized Suzuki curves and exponential sums	3
Fq	3
AG codes on flag bundles over a curve	3
Application of the Cartier operator in coding theory	3
Centralized variant of the Li criterion on functions fields	3
Super-regular Steiner 2-designs	3
On matrix algebras isomorphic to finite fields and planar Dembowski-Ostrom monomials	3
Analysis of generalized continued fraction algorithms over polynomials	3
Transverse linear subspaces to hypersurfaces over finite fields	3
On primitive elements of finite fields avoiding affine hyperplanes	3
New constructions of optimal (r,δ)-LRCs via good polynomials	3
Editorial Board	3
The probability of spanning a classical space by two non-degenerate subspaces of complementary dimensions	3
Denniston partial difference sets exist in the odd prime case	3
Representations of group actions and their applications in cryptography	3
Generalized almost perfect nonlinear binomials and trinomials over fields of prime-square order	3
Investigations of c-differential uniformity of permutations with Carlitz rank 3	3
Editorial Board	3
Goppa codes over the p-adic integers and integers modulo p	3
Two classes of twisted generalized Reed-Solomon codes with two twists	3
Editorial Board	3
On monomial generalized almost perfect nonlinear functions	3
On the graph of non-degenerate linear [n,2]2 codes	3
Spectral properties of Cayley graphs over M×(F)	3
On the sumsets of units and exceptional units in residue class rings	3
Degree of orthomorphism polynomials over finite fields	3
On CCZ-equivalence between the Bracken-Tan-Tan function and power functions	3
On r-primitive k-normal elements with prescribed norm and trace over finite fields	3
An approach to the moments subset sum problem through systems of diagonal equations over finite fields	3
Three proofs of an observation on irreducible polynomials over GF(2)	3
Exceptionality of (X+1)  + (X−1)	3
On the number of irreducible factors with a given multiplicity in function fields	3
List decoding of convolutional codes over integer residue rings	3
Relation between o-equivalence and EA-equivalence for Niho bent functions	3
On the relative growth rate of the product of consecutive partial quotients in continued fraction expansions of Laurent series	3
Two families of optimal ternary cyclic codes with minimal distance four	3
The extended codes of some linear codes	3
Editorial Board	3
Cyclotomic matrices and hypergeometric functions over finite fields	3
The radical of binary dimensional dual hyperovals	3
Pell hyperbolas in DLP–based cryptosystems	2
Two-weight or three-weight binary linear codes from cyclotomic mappings	2
Threshold functions for incidence properties in finite vector spaces	2
The distance function on Coxeter-like graphs and self-dual codes	2
An analogue of Girstmair's formula in function fields	2
Invariant rational functions, linear fractional transformations and irreducible polynomials over finite fields	2
New singly and doubly even binary [72,36,12] self-dual codes from M2(R)G - group matrix rings	2
Some basic results on finite linear recurring sequence subgroups	2

Constructions of projective linear codes by the intersection and difference of sets	2
Non-standard linear recurring sequence subgroups in finite fields and automorphisms of cyclic codes I	2
The most symmetric smooth cubic surface over a finite field of characteristic 2	2
On special pairs of primitive elements over a finite field	2
Regular sets of lines in rank 3 polar spaces	2
Nilpotent linearized polynomials over finite fields, revisited	2
Multislant matrices and Jacobi–Trudi determinants over finite fields	2
Index calculus algorithm for non-planar curves	2
Additive cyclic complementary dual codes over F	2
Primitive normal pairs with prescribed norm and trace	2
On the non-trivial minimal blocking sets in binary projective spaces	2
Configurations of rectangles in F	2
A Bertini type theorem for pencils over finite fields	2
Genus fields of Kummer extensions of rational function fields	2
Application of Hermitian self-orthogonal GRS codes to some quantum MDS codes	2
A multistep strategy for polynomial system solving over finite fields and a new algebraic attack on the stream cipher Trivium	2
Irreducible polynomials from a cubic transformation	2
Construction of long MDS self-dual codes from short codes	2
Extending the GLS endomorphism to speed up GHS Weil descent using Magma	2
On permutation quadrinomials from Niho exponents in characteristic two	2
On ⁎-clean group rings over finite fields	2
Self-dual 2-quasi negacyclic codes over finite fields	2
Superzeta functions on function fields	2
Partial permutation decoding and PD-sets for Z	2
On bases and the dimensions of twisted centralizer codes	2
Construction of extremal Type II Z	2
The complexity of elliptic normal bases	2
The moments and statistical distribution of class number of primes over function fields	2
Several classes of permutation polynomials over the finite field F	2
Primality proving using elliptic curves with complex multiplication by imaginary quadratic fields of class number three	2
Higher Grassmann codes II	2
Intersecting families of polynomials over finite fields	2
New Galois hulls of generalized Reed-Solomon codes	2
On subgroup perfect codes in Cayley sum graphs	2
Maximality of Ciani curves over finite fields	2
Characterizations of a class of planar functions over finite fields	2
Generalized trigonometry and Chebyshev functions in finite fields	2
Note on Budaghyan and Carlet's almost perfect nonlinear functions	2
Permutation binomials of the form x(x−1 + a) over F	2
Construction of ε-ASIC-POVMs via 2-to-1 PN functions and the Li bound	2
New binary self-dual codes of lengths 56, 58, 64, 80 and 92 from a modification of the four circulant construction	2
Near-MDS codes from maximal arcs in PG(2,q)	2
On 2-dimensional insertion-deletion Reed-Solomon codes with optimal asymptotic error-correcting capability	2
Characterising elliptic and hyperbolic hyperplanes of the parabolic quadric Q	2
Editorial Board	2
MDS and AMDS symbol-pair codes constructed from repeated-root cyclic codes	2
The Hurwitz curve over a finite field and its Weierstrass points for the morphism of lines	2
Circularity in finite fields and solutions of the equations  +  −  = 1	2
On exponential sums of x + λx with p ≡ e(mod d)	2
On cyclic algebraic-geometry codes	2
Exponential sums and rigid cohomology	2
On the distribution of quadratic residues	2
Certain diagonal equations and conflict-avoiding codes of prime lengths	2
Few-weight codes over a non-chain ring associated with simplicial complexes and their distance optimal Gray image	2
Partitioned difference families and harmonious linear spaces	2
Some results on linear subspace codes	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
Constructing permutation polynomials over F	2
The Bertini irreducibility theorem for higher codimensional slices	2
LCD codes from tridiagonal Toeplitz matrices	2
Editorial Board	2
Two-point AG codes from the Beelen-Montanucci maximal curve	2
Several families of binary cyclic codes with good parameters	2
Weight distributions of generalized quasi-cyclic codes over F	2
Twisted group algebras of Abelian groups	1
Galois lines for the Artin–Schreier–Mumford curve	1
Complete description of measures corresponding to Abelian varieties over finite fields	1
On a girth–free variant of the Bourgain–Gamburd machine	1
On the constructions of Zp	1
Galois subcovers of the Hermitian curve in characteristic p with respect to subgroups of order p2	1
On the distribution of the entries of a fixed-rank random matrix over a finite field	1
Four infinite families of ternary cyclic codes with a square-root-like lower bound	1
Maximal curves and Tate-Shafarevich results for quartic and sextic twists	1
Editorial Board	1
Some results on similar configurations in subsets of F	1
Several classes of Galois self-orthogonal MDS codes and related applications	1
On the Rosenhain forms of superspecial curves of genus two	1
Repeated-root constacyclic codes of length klp over finite fields	1
Two classes of permutation trinomials over F	1
On diagonal equations over finite fields	1
On the number of k-normal elements and F	1
Double circulant codes from cubic cyclotomy	1
On diagonal equations over finite fields via walks in NEPS of graphs	1
Construction of systematic (k + 1,k) memory MDS sliding window codes over embedded fields	1
Asymptotic distributions of the number of zeros of random polynomials in Hayes equivalence class over a finite field	1
On the computation of r-th roots in finite fields	1
On binary locally repairable codes with distance four	1
Cyclic locally recoverable LCD codes with the help of cyclotomic polynomials	1
On the clique number of Paley graphs of prime power order	1
Classification of fractional projective permutations over finite fields	1
Further results on optimal ternary cyclic codes	1
Pseudorandom vector generation using elliptic curves and applications to Wiener processes	1
Appell series over finite fields and modular forms	1
Additive one-rank hull codes over finite fields	1
Editorial Board	1