Finite Fields and Their Applications

Article	Citations
Linear codes with few weights over finite fields	26
New classes of optimal p-ary cyclic codes with minimum distance four	22
Achromatic colorings of polarity graphs	21
Editorial Board	19
Group LCD and group reversible LCD codes	18
Constructing differentially 4-uniform involutions over F	18
Simple matrix cryptosystem is not broken by Liu's attack	18
A new construction for q-ary constant weight codes	17
Construction of highly nonlinear permutations on Z	16
Singleton-optimal LRCs and perfect LRCs via cyclic and constacyclic codes	16
Counting roots of fully triangular polynomials over finite fields	16
On the minimum weights of binary LCD codes and ternary LCD codes	15
Editorial Board	13
New classes of permutation trinomials of F	13
The resultant method in higher dimensions	13
On divisors of sums of polynomials	12
Editorial Board	11
Weight distribution of double cyclic codes over F<	11
Constructions and decoding of GC-balanced codes for edit errors	11
A structure theorem for the restricted sum of four squares	11
A note on the intersection of two distinct constacyclic codes	10
Paley-like graphs over finite fields from vector spaces	10
Quadratic residue patterns, algebraic curves and a K3 surface	10
Sum-rank product codes and bounds on the minimum distance	10
Stephen D. Cohen's contributions to the finite fields community	10

Several classes of linear codes with few weights from the closed butterfly structure	10
A spherical extension theorem and applications in positive characteristic	9
Non-isomorphic maximal function fields of genus q − 1	9
An infinite family of Griesmer quasi-cyclic self-orthogonal codes	9
(2p + 1)-class association schemes from the generalized Maiorana-McFarland class	9
Oriented supersingular elliptic curves and Eichler orders of prime level	9
Two classes of LCD BCH codes over finite fields	9
Well-covered unitary Cayley graphs of matrix rings over finite fields and applications	9
Diagonal hypersurfaces and elliptic curves over finite fields and hypergeometric functions	8
How to construct CSIDH on Edwards curves	8
Corrigendum to “Artin's primitive root conjecture for function fields revisited” [Finite Fields Appl. 67 (2020) 101713]	8
Negative Latin square type partial difference sets in nonabelian groups of order 64	8
On the Northcott property of zeta functions over function fields	8
New constructions of optimal binary LCD codes	8
Bounds in the Lee metric and optimal codes	8
On the number of Diophantine m-tuples in finite fields	7
In Memory of Professor Zhexian Wan	7
Investigating the exceptionality of scattered polynomials	7
New classes of permutation trinomials over F	7
Non-trivial t-intersecting families for symplectic polar spaces	7
Multi-orbit cyclic subspace codes and linear sets	7
A new identity of Dickson polynomials	7
Hulls of double cyclic codes	7
BRK-type sets over finite fields	7
Extending two families of bivariate APN functions	7
Weierstrass semigroups and automorphism group of a maximal curve with the third largest genus	6
Small solutions of generic ternary quadratic congruences to general moduli	6
Counting points on diagonal equations over Galois rings GR(p2,2n)	6
Iterative constructions of irreducible polynomials from isogenies	6
More classes of permutation pentanomials over finite fields with characteristic two	6
Davenport and Hasse's theorems and lifts of multiplication matrices of Gaussian periods	6
Energy bounds, bilinear forms and their applications in function fields	6
Editorial Board	6
Linear codes from planar functions and related covering codes	6
On a class of permutation polynomials and their inverses	6
A correct justification for the CHMT algorithm for solving underdetermined multivariate systems	6
Editorial Board	5
Several classes of permutation polynomials of the form (	5
Permutation polynomials of the form xh(x−1) over F	5
On dual-containing, almost dual-containing matrix-product codes and related quantum codes	5
Editorial Board	5
On LCD codes from skew symmetric Toeplitz matrices	5
Further improvements to the Chevalley-Warning theorems	5
The R-transform as power map and its generalizations to higher degree	5
Correlation of shifted values of L-functions in the hyperelliptic ensemble	5
A note on t-designs in isodual codes	5
A further study on the Ness-Helleseth function	5
Girth of the algebraic bipartite graph D(k,q)	5
Improvements of the Hasse-Weil-Serre bound over global function fields	5
Editorial Board	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
New constructions of permutation polynomials of the form x5
Function field genus theory for non-Kummer extensions	5
On non-monomial APcN permutations over finite fields of even characteristic	5
On pencils of cubics on the projective line over finite fields of characteristic >3	5
On the Newton polygons of twisted L-functions of binomials	5
Bound on the minimum distance of double circulant cubic residue codes	5
Generic Newton polygons for L-functions of (A,B)-exponential sums	5
Some new constructions of MDS self-dual codes over finite fields	5
Products of involutions in symplectic groups over general fields (II): Finite fields	5
Fq	4
Automorphisms of the supersingular isogeny graph	4
Coset-wise affine functions and cycle types of complete mappings	4
On sums and products of combinatorial cubes	4
The isomorphism problem in the context of PI-theory for two-dimensional Jordan algebras	4
On the graph of non-degenerate linear [n,2]2 codes	4
On the relative growth rate of the product of consecutive partial quotients in continued fraction expansions of Laurent series	4
Denniston partial difference sets exist in the odd prime case	4
Editorial Board	4
List decoding of maximal order codes over number fields	4
Extending two families of maximum rank distance codes	4
On the number of zeros to the equation f(x1)+... + f(x)=a over finite fields	4
On cohomology of generalized Suzuki curves and exponential sums	4
An approach to normal polynomials through symmetrization and symmetric reduction	4
On the number of irreducible factors with a given multiplicity in function fields	4
The radical of binary dimensional dual hyperovals	4
The Gross-Koblitz formula and almost circulant matrices related to Jacobi sums	4
Goppa codes over the p-adic integers and integers modulo p	4
Editorial Board	4
A formula on the weight distribution of linear codes with applications to AMDS codes	4
The cross-correlation values of a class of sequences with different lengths	4
Generalized almost perfect nonlinear binomials and trinomials over fields of prime-square order	4
On primitive elements of finite fields avoiding affine hyperplanes	4
Existence of pencils with nonblocking hypersurfaces	4
Three proofs of an observation on irreducible polynomials over GF(2)	4
Two classes of twisted generalized Reed-Solomon codes with two twists	3
On subgroup perfect codes in Cayley sum graphs	3
New constructions of optimal (r,δ)-LRCs via good polynomials	3
Constructing permutation polynomials over F	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
Application of the Cartier operator in coding theory	3
The extended codes of some linear codes	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
Intersecting families of polynomials over finite fields	3
Editorial Board	3
The automorphism group of the p-torsion points of an elliptic curve over a field of characteristic p ≥ 5	3
(σ,τ)-derivations of group rings with applications	3
Some results on linear subspace codes	3
Cyclotomic matrices and hypergeometric functions over finite fields	3
Permutation binomials of the form x(x−1 + a) over F	3
On CCZ-equivalence between the Bracken-Tan-Tan function and power functions	3
Multislant matrices and Jacobi–Trudi determinants over finite fields	3
On the sumsets of units and exceptional units in residue class rings	3
Few-weight codes over a non-chain ring associated with simplicial complexes and their distance optimal Gray image	3
Super-regular Steiner 2-designs	3
Nilpotent linearized polynomials over finite fields, revisited	3
Linear families of smooth hypersurfaces over finitely generated fields	3
Spectral properties of Cayley graphs over M×(F)	3
On the boomerang uniformity of permutations of low Carlitz rank	3
Editorial Board	3
Genus fields of Kummer extensions of rational function fields	3
Probabilistic Galois theory in function fields	3
The most symmetric smooth cubic surface over a finite field of characteristic 2	3
Arithmetic progressions in certain subsets of finite fields	3
Central and non-central metacyclic codes	3
Transverse linear subspaces to hypersurfaces over finite fields	3
A multistep strategy for polynomial system solving over finite fields and a new algebraic attack on the stream cipher Trivium	3
On matrix algebras isomorphic to finite fields and planar Dembowski-Ostrom monomials	3
On cyclic algebraic-geometry codes	3
Two families of optimal ternary cyclic codes with minimal distance four	3
Additive cyclic complementary dual codes over F	3
Editorial Board	3
The probability of spanning a classical space by two non-degenerate subspaces of complementary dimensions	3
Exceptionality of (X+1)  + (X−1)	3
An approach to the moments subset sum problem through systems of diagonal equations over finite fields	3
On monomial generalized almost perfect nonlinear functions	3
Skew constacyclic codes of lengths p and 2p over F	3

Construction of extremal Type II Z	3
Representations of group actions and their applications in cryptography	3
Fagundes-Mello conjecture over a finite field	3
AG codes on flag bundles over a curve	3
Certain diagonal equations and conflict-avoiding codes of prime lengths	3
On permutation quadrinomials from Niho exponents in characteristic two	2
A note on (2,2)-isogenies via theta coordinates	2
An analogue of Girstmair's formula in function fields	2
Several classes of permutation polynomials based on the AGW criterion over the finite field	2
Several families of binary cyclic codes with good parameters	2
The weight distributions of linear sets in PG(1,q5)	2
A Bertini type theorem for pencils over finite fields	2
On the Ding and Helleseth's 7th open problem about optimal ternary cyclic codes	2
A quasidouble of the affine plane of order 4 and the solution of a problem on additive designs	2
Constructions of projective linear codes by the intersection and difference of sets	2
Two-weight or three-weight binary linear codes from cyclotomic mappings	2
Polynomial p-adic low-discrepancy sequences	2
The differential uniformity of the power functions x	2
Weight distributions of generalized quasi-cyclic codes over F	2
Invariant rational functions, linear fractional transformations and irreducible polynomials over finite fields	2
Index calculus algorithm for non-planar curves	2
Threshold functions for incidence properties in finite vector spaces	2
Exponential sums and rigid cohomology	2
Two-point AG codes from the Beelen-Montanucci maximal curve	2
A new family of 2-scattered subspaces and related MRD codes	2
Grassmannians of codes	2
Regular sets of lines in rank 3 polar spaces	2
Partitioned difference families and harmonious linear spaces	2
A correction and further improvements to the Chevalley-Warning theorems	2
The complexity of elliptic normal bases	2
Three new classes of spreading sequence sets with low correlation and PAPR	2
The Bertini irreducibility theorem for higher codimensional slices	2
Hausdorff dimension for sets of continued fractions of formal Laurent series	2
MDS and AMDS symbol-pair codes constructed from repeated-root cyclic codes	2
Correlation measure, linear complexity and maximum order complexity for families of binary sequences	2
Pell hyperbolas in DLP–based cryptosystems	2
Fast hashing to G2	2
Partial permutation decoding and PD-sets for Z	2
The syndromes decoding algorithm in group codes	2
Multi-twisted additive self-orthogonal and ACD codes are asymptotically good	2
Construction of ε-ASIC-POVMs via 2-to-1 PN functions and the Li bound	2
Self-dual 2-quasi negacyclic codes over finite fields	2
The distance function on Coxeter-like graphs and self-dual codes	2
Five infinite families of binary cyclic codes and their related codes with good parameters	2
New singly and doubly even binary [72,36,12] self-dual codes from M2(R)G - group matrix rings	2
A class of almost MDS codes	2
Irreducible polynomials from a cubic transformation	2
Semi-regularity of pairs of Boolean polynomials	2
Fractional decoding of r-Hermitian codes	2
Higher Grassmann codes II	2
Designs with a simple automorphism group	2
New Galois hulls of generalized Reed-Solomon codes	2
Maximality of Ciani curves over finite fields	2
On the cyclotomic field Q(<	2
On the distribution of quadratic residues	2
On the functional graph of f(X)=c(X+1 + aX2) over quadratic extensions of finite fields	2
Near-MDS codes from maximal arcs in PG(2,q)	2
Superzeta functions on function fields	2
Editorial Board	2
Some results on complete permutation polynomials and mutually orthogonal Latin squares	2
Characterizations of a class of planar functions over finite fields	2
Classification of some permutation quadrinomials from self reciprocal polynomials over	2
Note on Budaghyan and Carlet's almost perfect nonlinear functions	2
Application of Hermitian self-orthogonal GRS codes to some quantum MDS codes	2
Circularity in finite fields and solutions of the equations  +  −  = 1	2
Design of concatenative complete complementary codes for CCC-CDMA via specific sequences and extended Boolean functions	2
Several classes of permutation polynomials over the finite field F	2
On exponential sums of x + λx with p ≡ e(mod d)	2
Some counterexamples for a version of Springer's theorem on forms of higher degree	2
Computing the minimum distance of the C(	2
Self-orthogonal quasi-abelian codes are asymptotically good	2
Configurations of rectangles in F	2
Characterising elliptic and hyperbolic hyperplanes of the parabolic quadric Q	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
Binary sequence family with both small cross-correlation and large family complexity	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
Primitive normal pairs with prescribed norm and trace	2
Neighborhood of vertices in the isogeny graph of principally polarized superspecial abelian surfaces	2
On the square code of group codes	1
Solids in the space of the Veronese surface in even characteristic	1
A criterion for the normality of polynomials over finite fields based on their coefficients	1
A class of double-twisted generalized Reed-Solomon codes	1
Self-orthogonal codes over Z4	1
On the construction of nonbinary LCD quadratic residue and double quadratic residue codes	1
Enumeration of self-reciprocal irreducible monic polynomials with prescribed leading coefficients over a finite field	1
Construction of systematic (k + 1,k) memory MDS sliding window codes over embedded fields	1
Few-weight linear codes over Fp<	1
Non-Abelian extensions of degree p3 and p4 in characteristic p > 2	1
Complete solution over F	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
Some results on similar configurations in subsets of F	1
Transformations for Appell series over finite fields and traces of Frobenius for elliptic curves	1
The number of solutions of diagonal cubic equations over finite fields	1