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
Achromatic colorings of polarity graphs	22
Editorial Board	15
Editorial Board	15
Extending two families of maximum rank distance codes	15
On linear representation, complexity and inversion of maps over finite fields	15
New singly and doubly even binary [72,36,12] self-dual codes from M2(R)G - group matrix rings	13
Editorial Board	13
Editorial Board	12
An explanation for the similar appearance of two identities involving Dickson polynomials	12
Group LCD and group reversible LCD codes	12
Editorial Board	11
Weight distributions of generalized quasi-cyclic codes over F	11
On a girth–free variant of the Bourgain–Gamburd machine	11
Editorial Board	10
Editorial Board	10
New Wilson-like theorems arising from Dickson polynomials	9
Saturating linear sets of minimal rank	9
A note on bilinear exponential sums in prime fields	9
Editorial Board	9
On dual-containing, almost dual-containing matrix-product codes and related quantum codes	9
On the number of zeros to the equation f(x1)+... + f(x)=a over finite fields	8
Linear codes with few weights over finite fields	8
A formula on the weight distribution of linear codes with applications to AMDS codes	8

On the Rosenhain forms of superspecial curves of genus two	8
On the clique number of Paley graphs of prime power order	8
Circularity in finite fields and solutions of the equations  +  −  = 1	8
Two classes of permutation trinomials over F	8
Binary and ternary leading-systematic LCD codes from special functions	8
Multiplicative orders of Gauss periods and the arithmetic of real quadratic fields	7
Coset-wise affine functions and cycle types of complete mappings	7
On the minimum weights of binary LCD codes and ternary LCD codes	7
Explicit equations for maximal curves as subcovers of the BM curve	7
On the density of irreducible polynomials which generate k-free polynomials over function fields	7
On equivalence between known polynomial APN functions and power APN functions	7
List decoding of maximal order codes over number fields	6
New MDS self-dual codes from GRS codes and extended GRS codes	6
Theory of additive complementary dual codes, constructions and computations	6
On some congruences and exponential sums	6
Three-dimensional Hadamard matrices of Paley type	6
Cyclic locally recoverable LCD codes with the help of cyclotomic polynomials	6
Complete description of measures corresponding to Abelian varieties over finite fields	5
On algebraic degrees of inverted Kloosterman sums	5
Counting roots of fully triangular polynomials over finite fields	5
Equivalence and duality of polycyclic codes associated with trinomials over finite fields	5
The isomorphism problem in the context of PI-theory for two-dimensional Jordan algebras	5
Singleton-optimal LRCs and perfect LRCs via cyclic and constacyclic codes	5
On the proportion of transverse-free plane curves	5
The subspace structure of maximum cliques in pseudo-Paley graphs from unions of cyclotomic classes	5
Constructions of optimal Hermitian self-dual codes from unitary matrices	5
Construction of highly nonlinear permutations on Z	5
Remarks on Catalan's equation over function fields	5
MDS and AMDS symbol-pair codes constructed from repeated-root cyclic codes	5
An explicit expression for Euclidean self-dual cyclic codes of length 2 over Galois ring GR(4,m)	4
Automorphisms of the supersingular isogeny graph	4
Several classes of permutation polynomials over the finite field F	4
On ⁎-clean group rings over finite fields	4
Editorial Board	4
On the constructions of Zp	4
On a generalization of Jacobi sums	4
Sequence subgroups generated by lifting	4
Averages and maximal averages over Product j-varieties in finite fields	4
Higher Grassmann codes	4
Zero testing and equation solving for sparse polynomials on rectangular domains	4
A new construction for q-ary constant weight codes	4
Bounds for two multicolor Ramsey numbers concerning quadrilaterals	4
Improvements of the Hasse-Weil-Serre bound over global function fields	4
Constructing differentially 4-uniform involutions over F	4
On sums and products of combinatorial cubes	4
Cardinal rank metric codes over Galois rings	4
On 2-dimensional insertion-deletion Reed-Solomon codes with optimal asymptotic error-correcting capability	4
Near-MDS codes from maximal arcs in PG(2,q)	4
Constructions of projective linear codes by the intersection and difference of sets	4
Galois lines for the Artin–Schreier–Mumford curve	4

Further results on optimal ternary cyclic codes	4
Repeated-root constacyclic codes of length klp over finite fields	4
On the distribution of multivariate Jacobi sums	4
On diagonal equations over finite fields	4
Triple intersection numbers for the Paley graphs	4
Implicit functions over finite fields and their applications to good cryptographic functions and linear codes	3
An analogue of Girstmair's formula in function fields	3
Editorial Board	3
On cohomology of generalized Suzuki curves and exponential sums	3
Quadratic residue patterns, algebraic curves and a K3 surface	3
The compositional inverses of three classes of permutation polynomials over finite fields	3
Denniston partial difference sets exist in the odd prime case	3
The Bertini irreducibility theorem for higher codimensional slices	3
On the distribution of the entries of a fixed-rank random matrix over a finite field	3
Editorial Board	3
Editorial Board	3
Counting the number of the twists of certain polarized abelian varieties	3
New classes of optimal p-ary cyclic codes with minimum distance four	3
New constructions of abelian non-cyclic orbit codes based on parabolic subgroups and tensor products	3
A note on the intersection of two distinct constacyclic codes	3
Editorial Board	3
Existence of pencils with nonblocking hypersurfaces	3
On the P-construction of algebraic-geometry codes	3
Editorial Board	3
Locally recoverable codes from towers of function fields	3
Maximality of Ciani curves over finite fields	3
Configurations of rectangles in F	3
Some enumeration results on trace forms of low radical over finite fields of characteristic two	3
Pseudorandom vector generation using elliptic curves and applications to Wiener processes	3
Counting irreducible polynomials with prescribed coefficients over a finite field	3
On the p-rank of singular curves and their smooth models	3
Editorial Board	3
Permutation properties of Dickson and Chebyshev polynomials with connections to number theory	3
Irreducible polynomials from a cubic transformation	3
On primitive elements of finite fields avoiding affine hyperplanes	3
On diagonal equations over finite fields via walks in NEPS of graphs	3
On the construction of irreducible and primitive polynomials from F	3
Editorial Board	3
New Galois hulls of generalized Reed-Solomon codes	3
Generalized trigonometry and Chebyshev functions in finite fields	3
On the relative growth rate of the product of consecutive partial quotients in continued fraction expansions of Laurent series	3
The distance function on Coxeter-like graphs and self-dual codes	3
On the boomerang uniformity of permutations of low Carlitz rank	2
Hulls of cyclic serial codes over a finite chain ring	2
Sum-rank product codes and bounds on the minimum distance	2
Goppa codes over the p-adic integers and integers modulo p	2
Relation between o-equivalence and EA-equivalence for Niho bent functions	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
On a conjecture on permutation rational functions over finite fields	2
More on the DLW conjectures	2
Four new families of NMDS codes with dimension 4 and their applications	2
The cross-correlation values of a class of sequences with different lengths	2
Paley-like graphs over finite fields from vector spaces	2
Webs and squabs of conics over finite fields	2
F-valued trace of a finite-dimensional commutative	2
On divisors of sums of polynomials	2
Three proofs of an observation on irreducible polynomials over GF(2)	2
A structure theorem for the restricted sum of four squares	2
On the graph of non-degenerate linear [n,2]2 codes	2
On sums of Betti numbers of affine varieties	2
On the computation of r-th roots in finite fields	2
Critical Problem for codes over finite chain rings	2
On the stopping time of the Collatz map in F	2
Spectral properties of Cayley graphs over M×(F)	2
Quasi-balanced weighing matrices, signed strongly regular graphs and association schemes	2
On the number of k-normal elements and F	2
Galois subcovers of the Hermitian curve in characteristic p with respect to subgroups of order p2	2
New binary self-dual codes of lengths 56, 58, 64, 80 and 92 from a modification of the four circulant construction	2
Stabilizer quantum codes defined by trace-depending polynomials	2
The resultant method in higher dimensions	2
Additive one-rank hull codes over finite fields	2
Pure Gauss sums and skew Hadamard difference sets	2
Several classes of Galois self-orthogonal MDS codes and related applications	2
Appell series over finite fields and modular forms	2
Counting polynomials over finite fields with prescribed leading coefficients and linear factors	2
Construction of systematic (k + 1,k) memory MDS sliding window codes over embedded fields	2
Classifications and constructions of minimum size linear sets on the projective line	2
Index calculus algorithm for non-planar curves	2
On the constructions of MDS self-dual codes via cyclotomy	2
Higher Grassmann codes II	2

New classes of permutation trinomials of F	2
Classification of some quadrinomials over finite fields of odd characteristic	2
Regular sets of lines in rank 3 polar spaces	2
An algorithm for counting arcs in higher-dimensional projective space	2
On the duality of cyclic codes of length p over F	2
A further study of quadratic APN permutations in dimension nine	2
Oriented supersingular elliptic curves and Eichler orders of prime level	2
Editorial Board	2
On binary locally repairable codes with distance four	2
Negative Latin square type partial difference sets in nonabelian groups of order 64	2
On the Grassmann graph of linear codes	2
Two-point AG codes from the Beelen-Montanucci maximal curve	2
A class of power functions with four-valued Walsh transform and related cyclic codes	2
Constructions and decoding of GC-balanced codes for edit errors	2
Weight distribution of double cyclic codes over F<	2
Two-to-one mappings and involutions without fixed points over F	2
On the number of irreducible factors with a given multiplicity in function fields	2
Generalized almost perfect nonlinear binomials and trinomials over fields of prime-square order	2
Maximal curves and Tate-Shafarevich results for quartic and sextic twists	2
Partitioned difference families and harmonious linear spaces	2
A new direction on constructing irreducible polynomials over finite fields	2
A note on the distribution of weights of fixed-rank matrices over the binary field	2
The radical of binary dimensional dual hyperovals	2
Several classes of linear codes with few weights from the closed butterfly structure	2
On the distribution of quadratic residues	2
An orbital construction of optimum distance flag codes	2
Four infinite families of ternary cyclic codes with a square-root-like lower bound	2
Primitive normal pairs with prescribed norm and trace	2
Odd moments for the trace of Frobenius and the Sato–Tate conjecture in arithmetic progressions	2
p-Adic valuations associated to fibers and images of polynomial functions	1
Diagonal hypersurfaces and elliptic curves over finite fields and hypergeometric functions	1
New families of flag-transitive linear spaces	1
Exponential sums and rigid cohomology	1
Cyclic arcs of Singer type and strongly regular Cayley graphs over finite fields	1
Erasure list-decodable codes and Turán hypercube problems	1
Maximum number of points on an intersection of a cubic threefold and a non-degenerate Hermitian threefold	1
Editorial Board	1
A spherical extension theorem and applications in positive characteristic	1
An approach to normal polynomials through symmetrization and symmetric reduction	1
Fq	1
Newton polygons of L-functions associated to Deligne polynomials	1
Doubly and triply extended MSRD codes	1
Classifying planar monomials over fields of order a prime cubed	1
On the proportion of locally soluble superelliptic curves	1
Threshold functions for incidence properties in finite vector spaces	1
In Memory of Professor Zhexian Wan	1
An algebraic attack to the Bluetooth stream cipher E0	1
Enveloping sieve related to the Hardy-Littlewood irreducible tuple conjecture in a function field	1
Invariant rational functions, linear fractional transformations and irreducible polynomials over finite fields	1
On monomial generalized almost perfect nonlinear functions	1
New advances in permutation decoding of first-order Reed-Muller codes	1
Frames over finite fields: Basic theory and equiangular lines in unitary geometry	1
(2p + 1)-class association schemes from the generalized Maiorana-McFarland class	1
Self-orthogonal codes over Z4	1
The moments and statistical distribution of class number of primes over function fields	1
The crooked property	1
The number of solutions of diagonal cubic equations over finite fields	1
Weierstrass semigroups and automorphism group of a maximal curve with the third largest genus	1
Finite period vectors and Gauss sums	1
The Gross-Koblitz formula and almost circulant matrices related to Jacobi sums	1
Low-lying zeros in families of elliptic curve L-functions over function fields	1
Linear sets from projection of Desarguesian spreads	1
On a classification of the automorphism groups of polarized abelian surfaces over finite fields	1
Analysis of generalized continued fraction algorithms over polynomials	1
Cyclic 2-spreads in V(6,q) and flag-transitive linear spaces	1
Bounds in the Lee metric and optimal codes	1
Editorial Board	1
The probability of spanning a classical space by two non-degenerate subspaces of complementary dimensions	1
Hulls of double cyclic codes	1
An approach to the moments subset sum problem through systems of diagonal equations over finite fields	1
On CCZ-equivalence between the Bracken-Tan-Tan function and power functions	1
More classes of permutation quadrinomials from Niho exponents in characteristic two	1
Editorial Board	1
The complexity of elliptic normal bases	1
A new identity of Dickson polynomials	1
Well-covered unitary Cayley graphs of matrix rings over finite fields and applications	1
Subconstituents of unitary Cayley graph of matrix algebras	1
Application of Hermitian self-orthogonal GRS codes to some quantum MDS codes	1
A modular equality for Cameron-Liebler line classes in projective and affine spaces of odd dimension	1
Characterising elliptic and hyperbolic hyperplanes of the parabolic quadric Q	1
On the construction of nonbinary LCD quadratic residue and double quadratic residue codes	1
On the Northcott property of zeta functions over function fields	1
MacWilliams duality for rank metric codes over finite chain rings	1
Few-weight linear codes over Fp<	1
A structural attack to the DME-(3,2,q) cryptosystem	1
Polycyclic codes overF	1
On construction and (non)existence of c-(almost) perfect nonlinear functions	1
Editorial Board	1
On LCD, self dual and isodual cyclic codes over finite chain rings	1
Skew constacyclic codes of lengths p and 2p over F	1
On the existence and construction of maximum distance profile convolutional codes	1
On the square code of group codes	1
Local permutation polynomials and the action of e-Klenian groups	1
Semi-regularity of pairs of Boolean polynomials	1
Multi-orbit cyclic subspace codes and linear sets	1