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	19
A new construction for q-ary constant weight codes	18
Singleton-optimal LRCs and perfect LRCs via cyclic and constacyclic codes	17
Counting roots of fully triangular polynomials over finite fields	17
Construction of highly nonlinear permutations on Z	16
Constructing differentially 4-uniform involutions over F	16
On the minimum weights of binary LCD codes and ternary LCD codes	16
Linear codes with few weights over finite fields	16
A note on the intersection of two distinct constacyclic codes	15
Group LCD and group reversible LCD codes	15
Editorial Board	14
Several classes of linear codes with few weights from the closed butterfly structure	13
Weight distribution of double cyclic codes over F<	13
Editorial Board	12
Constructions and decoding of GC-balanced codes for edit errors	12
Paley-like graphs over finite fields from vector spaces	12
The resultant method in higher dimensions	12
On divisors of sums of polynomials	11
A structure theorem for the restricted sum of four squares	11
New classes of permutation trinomials of F	10
Quadratic residue patterns, algebraic curves and a K3 surface	10
An infinite family of Griesmer quasi-cyclic self-orthogonal codes	9
(2p + 1)-class association schemes from the generalized Maiorana-McFarland class	9

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

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

Permutation binomials of the form x(x−1 + a) over F	3
Maximality of Ciani curves over finite fields	2
A class of almost MDS codes	2
Some results on linear subspace codes	2
Pell hyperbolas in DLP–based cryptosystems	2
The most symmetric smooth cubic surface over a finite field of characteristic 2	2
Self-dual 2-quasi negacyclic codes over finite fields	2
LCD codes from tridiagonal Toeplitz matrices	2
Exponential sums and rigid cohomology	2
A multistep strategy for polynomial system solving over finite fields and a new algebraic attack on the stream cipher Trivium	2
Extending the GLS endomorphism to speed up GHS Weil descent using Magma	2
Several classes of permutation polynomials over the finite field F	2
Configurations of rectangles in F	2
Application of Hermitian self-orthogonal GRS codes to some quantum MDS codes	2
On 2-dimensional insertion-deletion Reed-Solomon codes with optimal asymptotic error-correcting capability	2
Two-weight or three-weight binary linear codes from cyclotomic mappings	2
Higher Grassmann codes II	2
Fractional decoding of r-Hermitian codes	2
The moments and statistical distribution of class number of primes over function fields	2
Index calculus algorithm for non-planar curves	2
Almost affinely disjoint subspaces	2
Two-point AG codes from the Beelen-Montanucci maximal curve	2
Semi-regularity of pairs of Boolean polynomials	2
A Bertini type theorem for pencils over finite fields	2
A quasidouble of the affine plane of order 4 and the solution of a problem on additive designs	2
Editorial Board	2
Construction of extremal Type II Z	2
The distance function on Coxeter-like graphs and self-dual codes	2
The Hurwitz curve over a finite field and its Weierstrass points for the morphism of lines	2
Fagundes-Mello conjecture over a finite field	2
Five infinite families of binary cyclic codes and their related codes with good parameters	2
Several families of binary cyclic codes with good parameters	2
Generalized trigonometry and Chebyshev functions in finite fields	2
Circularity in finite fields and solutions of the equations  +  −  = 1	2
The Bertini irreducibility theorem for higher codimensional slices	2
Threshold functions for incidence properties in finite vector spaces	2
Constructions of projective linear codes by the intersection and difference of sets	2
Invariant rational functions, linear fractional transformations and irreducible polynomials over finite fields	2
Polynomial p-adic low-discrepancy sequences	2
Self-orthogonal quasi-abelian codes are asymptotically good	2
Characterising elliptic and hyperbolic hyperplanes of the parabolic quadric Q	2
Primitive normal pairs with prescribed norm and trace	2
Grassmannians of codes	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
Design of concatenative complete complementary codes for CCC-CDMA via specific sequences and extended Boolean functions	2
Regular sets of lines in rank 3 polar spaces	2
The differential uniformity of the power functions x	2
Near-MDS codes from maximal arcs in PG(2,q)	2
On the Ding and Helleseth's 7th open problem about optimal ternary cyclic codes	2
Genus fields of Kummer extensions of rational function fields	2
Partial permutation decoding and PD-sets for Z	2
Note on Budaghyan and Carlet's almost perfect nonlinear functions	2
On the functional graph of f(X)=c(X+1 + aX2) over quadratic extensions of finite fields	2
Construction of ε-ASIC-POVMs via 2-to-1 PN functions and the Li bound	2
Non-standard linear recurring sequence subgroups in finite fields and automorphisms of cyclic codes I	2
An analogue of Girstmair's formula in function fields	2
The complexity of elliptic normal bases	2
Weight distributions of generalized quasi-cyclic codes over F	2
New binary self-dual codes of lengths 56, 58, 64, 80 and 92 from a modification of the four circulant construction	2
Editorial Board	2
On ⁎-clean group rings over finite fields	2
New Galois hulls of generalized Reed-Solomon codes	2
On the distribution of quadratic residues	2
The syndromes decoding algorithm in group codes	2
On permutation quadrinomials from Niho exponents in characteristic two	2
Partitioned difference families and harmonious linear spaces	2
Embeddings of Ree unitals in a projective plane over a field	2
On special pairs of primitive elements over a finite field	2
New singly and doubly even binary [72,36,12] self-dual codes from M2(R)G - group matrix rings	2
On exponential sums of x + λx with p ≡ e(mod d)	2
MDS and AMDS symbol-pair codes constructed from repeated-root cyclic codes	2
Irreducible polynomials from a cubic transformation	2
Galois subcovers of the Hermitian curve in characteristic p with respect to subgroups of order p2	1
Construction of systematic (k + 1,k) memory MDS sliding window codes over embedded fields	1
On the computation of r-th roots in finite fields	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
On a girth–free variant of the Bourgain–Gamburd machine	1
On the clique number of Paley graphs of prime power order	1
Editorial Board	1
On the distribution of the entries of a fixed-rank random matrix over a finite field	1
On the number of k-normal elements and F	1
Appell series over finite fields and modular forms	1
Double circulant codes from cubic cyclotomy	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
On self-dual completely regular codes with covering radius ρ ≤ 3	1
Several classes of Galois self-orthogonal MDS codes and related applications	1
Additive one-rank hull codes over finite fields	1
On diagonal equations over finite fields via walks in NEPS of graphs	1
Editorial Board	1
On the constructions of Zp	1
Two classes of permutation trinomials over F	1