Finite Fields and Their Applications

Article	Citations
Classification of fractional projective permutations over finite fields	35
Classification of spreads of Tits quadrangles of order 64	27
On the proportion of transverse-free plane curves	21
Multiplicative orders of Gauss periods and the arithmetic of real quadratic fields	18
On the distribution of multivariate Jacobi sums	18
Editorial Board	15
Sequence subgroups generated by lifting	15
Galois lines for the Artin–Schreier–Mumford curve	13
Constructing differentially 4-uniform involutions over F	12
On sums and products of combinatorial cubes	12
Explicit equations for maximal curves as subcovers of the BM curve	12
New singly and doubly even binary [72,36,12] self-dual codes from M2(R)G - group matrix rings	11
Editorial Board	11
On the density of irreducible polynomials which generate k-free polynomials over function fields	11
On diagonal equations over finite fields	10
Editorial Board	10
Triple intersection numbers for the Paley graphs	10
Group LCD and group reversible LCD codes	10
Three-dimensional Hadamard matrices of Paley type	9
Coset-wise affine functions and cycle types of complete mappings	9
Construction of highly nonlinear permutations on Z	9
Automorphisms of the supersingular isogeny graph	9
Theory of additive complementary dual codes, constructions and computations	9
Editorial Board	8
The isomorphism problem in the context of PI-theory for two-dimensional Jordan algebras	8

Remarks on Catalan's equation over function fields	8
An explanation for the similar appearance of two identities involving Dickson polynomials	8
List decoding of maximal order codes over number fields	8
On a girth–free variant of the Bourgain–Gamburd machine	8
Counting roots of fully triangular polynomials over finite fields	8
A new construction for q-ary constant weight codes	7
MDS and AMDS symbol-pair codes constructed from repeated-root cyclic codes	7
Several classes of permutation polynomials over the finite field F	7
Editorial Board	7
Weight distributions of generalized quasi-cyclic codes over F	7
New MDS self-dual codes from GRS codes and extended GRS codes	7
On dual-containing, almost dual-containing matrix-product codes and related quantum codes	6
Editorial Board	6
Saturating linear sets of minimal rank	6
Averages and maximal averages over Product j-varieties in finite fields	6
Zero testing and equation solving for sparse polynomials on rectangular domains	6
New Wilson-like theorems arising from Dickson polynomials	5
Achromatic colorings of polarity graphs	5
On some congruences and exponential sums	5
A note on bilinear exponential sums in prime fields	5
An explicit expression for Euclidean self-dual cyclic codes of length 2 over Galois ring GR(4,m)	5
On linear representation, complexity and inversion of maps over finite fields	5
Cardinal rank metric codes over Galois rings	5
On equivalence between known polynomial APN functions and power APN functions	5
Editorial Board	5
Circularity in finite fields and solutions of the equations  +  −  = 1	5
Higher Grassmann codes	5
A formula on the weight distribution of linear codes with applications to AMDS codes	4
Extending two families of maximum rank distance codes	4
On ⁎-clean group rings over finite fields	4
Constructions of projective linear codes by the intersection and difference of sets	4
On the clique number of Paley graphs of prime power order	4
On the minimum weights of binary LCD codes and ternary LCD codes	4
Repeated-root constacyclic codes of length klp over finite fields	4
Near-MDS codes from maximal arcs in PG(2,q)	4
Singleton-optimal LRCs and perfect LRCs via cyclic and constacyclic codes	4
Further results on optimal ternary cyclic codes	4
On 2-dimensional insertion-deletion Reed-Solomon codes with optimal asymptotic error-correcting capability	4
On the constructions of Zp	4
Constructions of optimal Hermitian self-dual codes from unitary matrices	4
Two classes of permutation trinomials over F	4
Editorial Board	4
Linear codes with few weights over finite fields	4
Binary and ternary leading-systematic LCD codes from special functions	4
Bounds for two multicolor Ramsey numbers concerning quadrilaterals	4
Equivalence and duality of polycyclic codes associated with trinomials over finite fields	4
On the number of zeros to the equation f(x1)+... + f(x)=a over finite fields	4
On the Rosenhain forms of superspecial curves of genus two	4
Complete description of measures corresponding to Abelian varieties over finite fields	4
On a generalization of Jacobi sums	4

On algebraic degrees of inverted Kloosterman sums	4
Four infinite families of ternary cyclic codes with a square-root-like lower bound	3
On the constructions of MDS self-dual codes via cyclotomy	3
The cross-correlation values of a class of sequences with different lengths	3
Counting the number of the twists of certain polarized abelian varieties	3
Maximality of Ciani curves over finite fields	3
Galois subcovers of the Hermitian curve in characteristic p with respect to subgroups of order p2	3
Four new families of NMDS codes with dimension 4 and their applications	3
On the number of k-normal elements and F	3
Permutation properties of Dickson and Chebyshev polynomials with connections to number theory	3
The subspace structure of maximum cliques in pseudo-Paley graphs from unions of cyclotomic classes	3
An algorithm for counting arcs in higher-dimensional projective space	3
Sum-rank product codes and bounds on the minimum distance	3
On the construction of irreducible and primitive polynomials from F	3
Some enumeration results on trace forms of low radical over finite fields of characteristic two	3
Pure Gauss sums and skew Hadamard difference sets	3
Quasi-balanced weighing matrices, signed strongly regular graphs and association schemes	3
On divisors of sums of polynomials	3
Additive one-rank hull codes over finite fields	3
F-valued trace of a finite-dimensional commutative	3
A further study of quadratic APN permutations in dimension nine	3
An orbital construction of optimum distance flag codes	3
New Galois hulls of generalized Reed-Solomon codes	3
Editorial Board	3
On the relative growth rate of the product of consecutive partial quotients in continued fraction expansions of Laurent series	3
Primitive normal pairs with prescribed norm and trace	3
Hulls of cyclic serial codes over a finite chain ring	3
Counting polynomials over finite fields with prescribed leading coefficients and linear factors	3
A class of power functions with four-valued Walsh transform and related cyclic codes	3
Counting irreducible polynomials with prescribed coefficients over a finite field	3
Paley-like graphs over finite fields from vector spaces	3
On the P-construction of algebraic-geometry codes	3
Improvements of the Hasse-Weil-Serre bound over global function fields	3
On cohomology of generalized Suzuki curves and exponential sums	3
Editorial Board	3
Cyclic locally recoverable LCD codes with the help of cyclotomic polynomials	3
The Bertini irreducibility theorem for higher codimensional slices	3
On binary locally repairable codes with distance four	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
Construction of systematic (k + 1,k) memory MDS sliding window codes over embedded fields	2
Three proofs of an observation on irreducible polynomials over GF(2)	2
On primitive elements of finite fields avoiding affine hyperplanes	2
A structure theorem for the restricted sum of four squares	2
Editorial Board	2
Two-to-one mappings and involutions without fixed points over F	2
Pseudorandom vector generation using elliptic curves and applications to Wiener processes	2
Several classes of linear codes with few weights from the closed butterfly structure	2
On the number of irreducible factors with a given multiplicity in function fields	2
A note on the distribution of weights of fixed-rank matrices over the binary field	2
Application of Hermitian self-orthogonal GRS codes to some quantum MDS codes	2
On the distribution of the entries of a fixed-rank random matrix over a finite field	2
Extending the GLS endomorphism to speed up GHS Weil descent using Magma	2
Editorial Board	2
The radical of binary dimensional dual hyperovals	2
Self-orthogonal codes over Z4	2
Editorial Board	2
Jacobsthal sums and permutations of biquadratic residues	2
Irreducible polynomials from a cubic transformation	2
The compositional inverses of three classes of permutation polynomials over finite fields	2
Maximal curves and Tate-Shafarevich results for quartic and sextic twists	2
Webs and squabs of conics over finite fields	2
Higher Grassmann codes II	2
Generalized almost perfect nonlinear binomials and trinomials over fields of prime-square order	2
On a conjecture on permutation rational functions over finite fields	2
New classes of permutation trinomials of F	2
A note on the intersection of two distinct constacyclic codes	2
Two-point AG codes from the Beelen-Montanucci maximal curve	2
Partitioned difference families and harmonious linear spaces	2
Denniston partial difference sets exist in the odd prime case	2
Existence of pencils with nonblocking hypersurfaces	2
More on the DLW conjectures	2
Complete solution over F	2
Stabilizer quantum codes defined by trace-depending polynomials	2
A new direction on constructing irreducible polynomials over finite fields	2
Subconstituents of unitary Cayley graph of matrix algebras	2
Generalized trigonometry and Chebyshev functions in finite fields	2
Characterising elliptic and hyperbolic hyperplanes of the parabolic quadric Q	2
Editorial Board	2
A family of permutation trinomials over F	2
Relation between o-equivalence and EA-equivalence for Niho bent functions	2

On LCD, self dual and isodual cyclic codes over finite chain rings	2
Index calculus algorithm for non-planar curves	2
Classification of some quadrinomials over finite fields of odd characteristic	2
Critical Problem for codes over finite chain rings	2
Constructions and decoding of GC-balanced codes for edit errors	2
On diagonal equations over finite fields via walks in NEPS of graphs	2
Weight distribution of double cyclic codes over F<	2
Editorial Board	2
On the graph of non-degenerate linear [n,2]2 codes	2
Appell series over finite fields and modular forms	2
Goppa codes over the p-adic integers and integers modulo p	2
The resultant method in higher dimensions	2
A structural attack to the DME-(3,2,q) cryptosystem	2
Configurations of rectangles in F	2
Degree of orthomorphism polynomials over finite fields	2
Locally recoverable codes from towers of function fields	2
Classifications and constructions of minimum size linear sets on the projective line	2
Classifying planar monomials over fields of order a prime cubed	2
Several classes of Galois self-orthogonal MDS codes and related applications	2
Finite period vectors and Gauss sums	2
On the Grassmann graph of linear codes	2
Quadratic residue patterns, algebraic curves and a K3 surface	2