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 classes of optimal p-ary cyclic codes with minimum distance four	16
New constructions of abelian non-cyclic orbit codes based on parabolic subgroups and tensor products	16
An analogue of Girstmair's formula in function fields	15
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
On some congruences and exponential sums	13
Editorial Board	13
New singly and doubly even binary [72,36,12] self-dual codes from M2(R)G - group matrix rings	13
Editorial Board	12
Further results on optimal ternary cyclic codes	12
Achromatic colorings of polarity graphs	11
On linear representation, complexity and inversion of maps over finite fields	11
New MDS self-dual codes from GRS codes and extended GRS codes	10
Near-MDS codes from maximal arcs in PG(2,q)	10
Cyclic locally recoverable LCD codes with the help of cyclotomic polynomials	10
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
On algebraic degrees of inverted Kloosterman sums	9
Theory of additive complementary dual codes, constructions and computations	9
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
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
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
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
On a generalization of Jacobi sums	6
Sequence subgroups generated by lifting	6
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
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
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
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	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
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
On the distribution of the entries of a fixed-rank random matrix over a finite field	3
Editorial Board	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
Pseudorandom vector generation using elliptic curves and applications to Wiener processes	3
Editorial Board	3
On the graph of non-degenerate linear [n,2]2 codes	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
Irreducible polynomials from a cubic transformation	3
Relation between o-equivalence and EA-equivalence for Niho bent functions	3
The radical of binary dimensional dual hyperovals	3
On the Grassmann graph of linear codes	3
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
A new direction on constructing irreducible polynomials over finite fields	2
Classifications and constructions of minimum size linear sets on the projective line	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
Webs and squabs of conics over finite fields	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
Maximal curves and Tate-Shafarevich results for quartic and sextic twists	2
Primitive normal pairs with prescribed norm and trace	2
Counting polynomials over finite fields with prescribed leading coefficients and linear factors	2
On the number of irreducible factors with a given multiplicity in function fields	2
Appell series over finite fields and modular forms	2
Quasi-balanced weighing matrices, signed strongly regular graphs and association schemes	2
Constructions and decoding of GC-balanced codes for edit errors	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
Stabilizer quantum codes defined by trace-depending polynomials	2
Hulls of cyclic serial codes over a finite chain ring	2
Codes over a ring of order 32 with two Gray maps	2
On binary locally repairable codes with distance four	2
A criterion for the normality of polynomials over finite fields based on their coefficients	2
On the stopping time of the Collatz map in F	2
Investigating the exceptionality of scattered polynomials	2
On the P-construction of algebraic-geometry codes	2
Higher Grassmann codes II	2
A structure theorem for the restricted sum of four squares	2
Editorial Board	2
Pure Gauss sums and skew Hadamard difference sets	2
Denniston partial difference sets exist in the odd prime case	2
On the duality of cyclic codes of length p over F	2
On a conjecture on permutation rational functions over finite fields	2
Several classes of Galois self-orthogonal MDS codes and related applications	2
On the computation of r-th roots in finite fields	2
Critical Problem for codes over finite chain rings	2
Quadratic residue patterns, algebraic curves and a K3 surface	2
On diagonal equations over finite fields via walks in NEPS of graphs	2

On divisors of sums of polynomials	2
The resultant method in higher dimensions	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
Weight distribution of double cyclic codes over F<	2
Classification of some quadrinomials over finite fields of odd characteristic	2
Superzeta functions on function fields	2
F-valued trace of a finite-dimensional commutative	2
Weight enumerators of all cubic-primitive irreducible cyclic codes of odd prime power length	2
On the boomerang uniformity of permutations of low Carlitz rank	2
Some results on similar configurations in subsets of F	2
A class of power functions with four-valued Walsh transform and related cyclic codes	2
On the constructions of MDS self-dual codes via cyclotomy	2
Existence of pencils with nonblocking hypersurfaces	2
On the number of k-normal elements and F	2
The cross-correlation values of a class of sequences with different lengths	2
Partitioned difference families and harmonious linear spaces	2
Spectral properties of Cayley graphs over M×(F)	2
Three proofs of an observation on irreducible polynomials over GF(2)	2
Paley-like graphs over finite fields from vector spaces	2
Index calculus algorithm for non-planar curves	2
An algorithm for counting arcs in higher-dimensional projective space	2
More on the DLW conjectures	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
The compositional inverses of three classes of permutation polynomials over finite fields	2
Galois subcovers of the Hermitian curve in characteristic p with respect to subgroups of order p2	2
Additive one-rank hull codes over finite fields	2
Regular sets of lines in rank 3 polar spaces	2
Complete solution over F	2
New classes of permutation trinomials of F	2
How to construct CSIDH on Edwards curves	2
Editorial Board	2
An infinite family of Griesmer quasi-cyclic self-orthogonal codes	2
Construction of systematic (k + 1,k) memory MDS sliding window codes over embedded fields	2
On some conjectures on generalized quadratic Gauss sums and related problems	1
On the number of rational points on Artin-Schreier hypersurfaces	1
On permutation quadrinomials from Niho exponents in characteristic two	1
Extending two families of bivariate APN functions	1
Matrices in M2	1
Negative Latin square type partial difference sets in nonabelian groups of order 64	1
Plane curves with a large linear automorphism group in characteristic p	1
Diagonal hypersurfaces and elliptic curves over finite fields and hypergeometric functions	1
Symmetric polynomials over finite fields	1
New constructions of optimal binary LCD codes	1
Super-regular Steiner 2-designs	1
On the functional graph of f(X)=c(X+1 + aX2) over quadratic extensions of finite fields	1
Two new classes of projective two-weight linear codes	1
Diophantine approximation with prime denominator in real quadratic function fields	1
Homogenization of binary linear codes and their applications	1
Construction of balanced vectorial Boolean functions with almost optimal nonlinearity and very low differential-linear uniformity	1
Galois LCD codes over mixed alphabets	1
Non-invertible-element constacyclic codes over finite PIRs	1
On trivial cyclically covering subspaces of F	1
New results on n-to-1 mappings over finite fields	1
Two classes of LCD BCH codes over finite fields	1
Arithmetic progressions in certain subsets of finite fields	1
Fractional decoding of r-Hermitian codes	1
Oriented supersingular elliptic curves and Eichler orders of prime level	1
AG codes on flag bundles over a curve	1
An algebraic attack to the Bluetooth stream cipher E0	1
Transverse linear subspaces to hypersurfaces over finite fields	1
Two families of optimal ternary cyclic codes with minimal distance four	1
Local permutation polynomials and the action of e-Klenian groups	1
On some Toeplitz-type matrices over finite fields	1
The number of solutions of diagonal cubic equations over finite fields	1
The number of rational points of a class of superelliptic curves	1
Odd moments for the trace of Frobenius and the Sato–Tate conjecture in arithmetic progressions	1
The syndromes decoding algorithm in group codes	1
On the sumsets of units and exceptional units in residue class rings	1
Cyclotomic matrices and hypergeometric functions over finite fields	1
New constructions of optimal (r,δ)-LRCs via good polynomials	1
On the eigenvalues of the graphs D(5,q)	1
Investigations of c-differential uniformity of permutations with Carlitz rank 3	1
On the differential properties of the power mapping x	1
On bases and the dimensions of twisted centralizer codes	1
MacWilliams duality for rank metric codes over finite chain rings	1
Divisibility on point counting over finite Witt rings	1
A general construction of permutation polynomials of F	1
An approach to the moments subset sum problem through systems of diagonal equations over finite fields	1
Some new constructions of optimal and almost optimal locally repairable codes	1
Two-weight or three-weight binary linear codes from cyclotomic mappings	1
On the error-correcting pair for MDS linear codes with even minimum distance	1
A transform approach to polycyclic and serial codes over rings	1
Well-covered unitary Cayley graphs of matrix rings over finite fields and applications	1
On the number of Diophantine m-tuples in finite fields	1
Maximum number of points on an intersection of a cubic threefold and a non-degenerate Hermitian threefold	1
On the automorphism group of a family of maximal curves not covered by the Hermitian curve	1
On matrix algebras isomorphic to finite fields and planar Dembowski-Ostrom monomials	1
On exponential sums of x + λx with p ≡ e(mod d)	1
A class of almost MDS codes	1
The m-ovoids of W(5,	1
Grassmannians of codes	1
Probabilistic Galois theory in function fields	1