Finite Fields and Their Applications

Article	Citations
Classification of fractional projective permutations over finite fields	38
Classification of spreads of Tits quadrangles of order 64	27
On the p-rank of singular curves and their smooth models	22
New constructions of abelian non-cyclic orbit codes based on parabolic subgroups and tensor products	16
New classes of optimal p-ary cyclic codes with minimum distance four	16
Implicit functions over finite fields and their applications to good cryptographic functions and linear codes	15
The distance function on Coxeter-like graphs and self-dual codes	15
An analogue of Girstmair's formula in function fields	15
Editorial Board	13
New singly and doubly even binary [72,36,12] self-dual codes from M2(R)G - group matrix rings	13
On some congruences and exponential sums	13
Further results on optimal ternary cyclic codes	12
Editorial Board	12
Achromatic colorings of polarity graphs	11
On linear representation, complexity and inversion of maps over finite fields	11
Cyclic locally recoverable LCD codes with the help of cyclotomic polynomials	10
New MDS self-dual codes from GRS codes and extended GRS codes	10
Near-MDS codes from maximal arcs in PG(2,q)	10
On algebraic degrees of inverted Kloosterman sums	9
Theory of additive complementary dual codes, constructions and computations	9
Construction of highly nonlinear permutations on Z	9
Three-dimensional Hadamard matrices of Paley type	9
List decoding of maximal order codes over number fields	9
The subspace structure of maximum cliques in pseudo-Paley graphs from unions of cyclotomic classes	8
Counting roots of fully triangular polynomials over finite fields	8

Equivalence and duality of polycyclic codes associated with trinomials over finite fields	8
Remarks on Catalan's equation over function fields	8
Complete description of measures corresponding to Abelian varieties over finite fields	8
On the proportion of transverse-free plane curves	8
Singleton-optimal LRCs and perfect LRCs via cyclic and constacyclic codes	8
Galois lines for the Artin–Schreier–Mumford curve	7
Constructions of projective linear codes by the intersection and difference of sets	7
On the number of zeros to the equation f(x1)+... + f(x)=a over finite fields	7
Averages and maximal averages over Product j-varieties in finite fields	7
Explicit equations for maximal curves as subcovers of the BM curve	7
Triple intersection numbers for the Paley graphs	7
On the density of irreducible polynomials which generate k-free polynomials over function fields	6
On sums and products of combinatorial cubes	6
On the distribution of multivariate Jacobi sums	6
Cardinal rank metric codes over Galois rings	6
On diagonal equations over finite fields	6
On ⁎-clean group rings over finite fields	6
On a generalization of Jacobi sums	6
Sequence subgroups generated by lifting	6
An explicit expression for Euclidean self-dual cyclic codes of length 2 over Galois ring GR(4,m)	5
Constructing differentially 4-uniform involutions over F	5
A new construction for q-ary constant weight codes	5
Multiplicative orders of Gauss periods and the arithmetic of real quadratic fields	5
Editorial Board	5
Bounds for two multicolor Ramsey numbers concerning quadrilaterals	5
Several classes of permutation polynomials over the finite field F	5
Higher Grassmann codes	5
Automorphisms of the supersingular isogeny graph	5
Coset-wise affine functions and cycle types of complete mappings	5
On the constructions of Zp	5
Zero testing and equation solving for sparse polynomials on rectangular domains	5
Editorial Board	4
Editorial Board	4
Editorial Board	4
Two classes of permutation trinomials over F	4
On the minimum weights of binary LCD codes and ternary LCD codes	4
Improvements of the Hasse-Weil-Serre bound over global function fields	4
MDS and AMDS symbol-pair codes constructed from repeated-root cyclic codes	4
Extending two families of maximum rank distance codes	4
Editorial Board	4
Saturating linear sets of minimal rank	4
On a girth–free variant of the Bourgain–Gamburd machine	4
An explanation for the similar appearance of two identities involving Dickson polynomials	4
Editorial Board	4
A formula on the weight distribution of linear codes with applications to AMDS codes	4
Circularity in finite fields and solutions of the equations  +  −  = 1	4
Repeated-root constacyclic codes of length klp over finite fields	4
Linear codes with few weights over finite fields	4
On the Rosenhain forms of superspecial curves of genus two	4
New Wilson-like theorems arising from Dickson polynomials	4

Editorial Board	4
Weight distributions of generalized quasi-cyclic codes over F	4
Group LCD and group reversible LCD codes	4
Binary and ternary leading-systematic LCD codes from special functions	4
On dual-containing, almost dual-containing matrix-product codes and related quantum codes	4
Editorial Board	4
On 2-dimensional insertion-deletion Reed-Solomon codes with optimal asymptotic error-correcting capability	4
On the clique number of Paley graphs of prime power order	4
The isomorphism problem in the context of PI-theory for two-dimensional Jordan algebras	4
A note on bilinear exponential sums in prime fields	4
Editorial Board	3
Counting the number of the twists of certain polarized abelian varieties	3
New Galois hulls of generalized Reed-Solomon codes	3
On the relative growth rate of the product of consecutive partial quotients in continued fraction expansions of Laurent series	3
Four infinite families of ternary cyclic codes with a square-root-like lower bound	3
On cohomology of generalized Suzuki curves and exponential sums	3
Counting irreducible polynomials with prescribed coefficients over a finite field	3
On primitive elements of finite fields avoiding affine hyperplanes	3
Editorial Board	3
Irreducible polynomials from a cubic transformation	3
Locally recoverable codes from towers of function fields	3
Configurations of rectangles in F	3
The Bertini irreducibility theorem for higher codimensional slices	3
Editorial Board	3
On the construction of irreducible and primitive polynomials from F	3
Sum-rank product codes and bounds on the minimum distance	3
Permutation properties of Dickson and Chebyshev polynomials with connections to number theory	3
A note on the intersection of two distinct constacyclic codes	3
Editorial Board	3
On the graph of non-degenerate linear [n,2]2 codes	3
On the distribution of the entries of a fixed-rank random matrix over a finite field	3
Editorial Board	3
Generalized trigonometry and Chebyshev functions in finite fields	3
Maximality of Ciani curves over finite fields	3
Some enumeration results on trace forms of low radical over finite fields of characteristic two	3
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	3
On the distribution of quadratic residues	3
Constructions of optimal Hermitian self-dual codes from unitary matrices	3
Editorial Board	3
Relation between o-equivalence and EA-equivalence for Niho bent functions	3
Pseudorandom vector generation using elliptic curves and applications to Wiener processes	3
The radical of binary dimensional dual hyperovals	3
On the Grassmann graph of linear codes	3
New classes of permutation trinomials of F	2
Denniston partial difference sets exist in the odd prime case	2
Complete solution over F	2
Several classes of Galois self-orthogonal MDS codes and related applications	2
How to construct CSIDH on Edwards curves	2
Quadratic residue patterns, algebraic curves and a K3 surface	2
Editorial Board	2
The resultant method in higher dimensions	2
Construction of systematic (k + 1,k) memory MDS sliding window codes over embedded fields	2
An infinite family of Griesmer quasi-cyclic self-orthogonal codes	2
A new direction on constructing irreducible polynomials over finite fields	2
A classification of the automorphism groups of polarized abelian threefolds over finite fields	2
Two-to-one mappings and involutions without fixed points over F	2
Solids in the space of the Veronese surface in even characteristic	2
Goppa codes over the p-adic integers and integers modulo p	2
Primitive normal pairs with prescribed norm and trace	2
Counting polynomials over finite fields with prescribed leading coefficients and linear factors	2
Appell series over finite fields and modular forms	2
Quasi-balanced weighing matrices, signed strongly regular graphs and association schemes	2
Two-point AG codes from the Beelen-Montanucci maximal curve	2
Generalized almost perfect nonlinear binomials and trinomials over fields of prime-square order	2
Four new families of NMDS codes with dimension 4 and their applications	2
Hulls of cyclic serial codes over a finite chain ring	2
Existence of pencils with nonblocking hypersurfaces	2
Stabilizer quantum codes defined by trace-depending polynomials	2
On binary locally repairable codes with distance four	2
Partitioned difference families and harmonious linear spaces	2
Codes over a ring of order 32 with two Gray maps	2
Paley-like graphs over finite fields from vector spaces	2
A criterion for the normality of polynomials over finite fields based on their coefficients	2
More on the DLW conjectures	2
On the stopping time of the Collatz map in F	2
The compositional inverses of three classes of permutation polynomials over finite fields	2
On the P-construction of algebraic-geometry codes	2
Investigating the exceptionality of scattered polynomials	2
Higher Grassmann codes II	2
Editorial Board	2

Pure Gauss sums and skew Hadamard difference sets	2
On the duality of cyclic codes of length p over F	2
On a conjecture on permutation rational functions over finite fields	2
On the computation of r-th roots in finite fields	2
Critical Problem for codes over finite chain rings	2
On diagonal equations over finite fields via walks in NEPS of graphs	2
On divisors of sums of polynomials	2
Several classes of linear codes with few weights from the closed butterfly structure	2
An orbital construction of optimum distance flag codes	2
On sums of Betti numbers of affine varieties	2
Classifications and constructions of minimum size linear sets on the projective line	2
Classification of some quadrinomials over finite fields of odd characteristic	2
Webs and squabs of conics over finite fields	2
Weight distribution of double cyclic codes over F<	2
F-valued trace of a finite-dimensional commutative	2
Maximal curves and Tate-Shafarevich results for quartic and sextic twists	2
Superzeta functions on function fields	2
On the number of irreducible factors with a given multiplicity in function fields	2
Weight enumerators of all cubic-primitive irreducible cyclic codes of odd prime power length	2
Constructions and decoding of GC-balanced codes for edit errors	2
On the boomerang uniformity of permutations of low Carlitz rank	2
A class of power functions with four-valued Walsh transform and related cyclic codes	2
Some results on similar configurations in subsets of F	2
On the constructions of MDS self-dual codes via cyclotomy	2
On the number of k-normal elements and F	2
The cross-correlation values of a class of sequences with different lengths	2
Spectral properties of Cayley graphs over M×(F)	2
Three proofs of an observation on irreducible polynomials over GF(2)	2
Index calculus algorithm for non-planar curves	2
An algorithm for counting arcs in higher-dimensional projective space	2
A further study of quadratic APN permutations in dimension nine	2
A note on the distribution of weights of fixed-rank matrices over the binary field	2
Galois subcovers of the Hermitian curve in characteristic p with respect to subgroups of order p2	2
Regular sets of lines in rank 3 polar spaces	2
A structure theorem for the restricted sum of four squares	2
Additive one-rank hull codes over finite fields	2