Finite Fields and Their Applications

Papers
(The median citation count of Finite Fields and Their Applications is 1. The table below lists those papers that are above that threshold based on CrossRef citation counts [max. 250 papers]. The publications cover those that have been published in the past four years, i.e., from 2021-03-01 to 2025-03-01.)
ArticleCitations
Classification of fractional projective permutations over finite fields35
Classification of spreads of Tits quadrangles of order 6427
Achromatic colorings of polarity graphs22
Extending two families of maximum rank distance codes15
On linear representation, complexity and inversion of maps over finite fields15
Editorial Board15
Editorial Board15
New singly and doubly even binary [72,36,12] self-dual codes from M2(R)G - group matrix rings13
Editorial Board13
An explanation for the similar appearance of two identities involving Dickson polynomials12
Group LCD and group reversible LCD codes12
Editorial Board12
Weight distributions of generalized quasi-cyclic codes over F11
On a girth–free variant of the Bourgain–Gamburd machine11
Editorial Board11
Editorial Board10
Editorial Board10
A note on bilinear exponential sums in prime fields9
Editorial Board9
On dual-containing, almost dual-containing matrix-product codes and related quantum codes9
New Wilson-like theorems arising from Dickson polynomials9
Saturating linear sets of minimal rank9
On the Rosenhain forms of superspecial curves of genus two8
On the clique number of Paley graphs of prime power order8
Circularity in finite fields and solutions of the equations  +  −  = 18
Two classes of permutation trinomials over F8
Binary and ternary leading-systematic LCD codes from special functions8
On the number of zeros to the equation f(x1)+... + f(x)=a over finite fields8
Linear codes with few weights over finite fields8
A formula on the weight distribution of linear codes with applications to AMDS codes8
On the minimum weights of binary LCD codes and ternary LCD codes7
Explicit equations for maximal curves as subcovers of the BM curve7
On the density of irreducible polynomials which generate k-free polynomials over function fields7
On equivalence between known polynomial APN functions and power APN functions7
Multiplicative orders of Gauss periods and the arithmetic of real quadratic fields7
Coset-wise affine functions and cycle types of complete mappings7
Theory of additive complementary dual codes, constructions and computations6
On some congruences and exponential sums6
Three-dimensional Hadamard matrices of Paley type6
Cyclic locally recoverable LCD codes with the help of cyclotomic polynomials6
List decoding of maximal order codes over number fields6
New MDS self-dual codes from GRS codes and extended GRS codes6
Equivalence and duality of polycyclic codes associated with trinomials over finite fields5
The isomorphism problem in the context of PI-theory for two-dimensional Jordan algebras5
Singleton-optimal LRCs and perfect LRCs via cyclic and constacyclic codes5
On the proportion of transverse-free plane curves5
The subspace structure of maximum cliques in pseudo-Paley graphs from unions of cyclotomic classes5
Constructions of optimal Hermitian self-dual codes from unitary matrices5
Construction of highly nonlinear permutations on Z5
Remarks on Catalan's equation over function fields5
MDS and AMDS symbol-pair codes constructed from repeated-root cyclic codes5
Complete description of measures corresponding to Abelian varieties over finite fields5
On algebraic degrees of inverted Kloosterman sums5
Counting roots of fully triangular polynomials over finite fields5
Averages and maximal averages over Product j-varieties in finite fields4
Higher Grassmann codes4
Zero testing and equation solving for sparse polynomials on rectangular domains4
A new construction for q-ary constant weight codes4
Bounds for two multicolor Ramsey numbers concerning quadrilaterals4
Improvements of the Hasse-Weil-Serre bound over global function fields4
Constructing differentially 4-uniform involutions over F4
On sums and products of combinatorial cubes4
Cardinal rank metric codes over Galois rings4
On 2-dimensional insertion-deletion Reed-Solomon codes with optimal asymptotic error-correcting capability4
Near-MDS codes from maximal arcs in PG(2,q)4
Constructions of projective linear codes by the intersection and difference of sets4
Galois lines for the Artin–Schreier–Mumford curve4
Further results on optimal ternary cyclic codes4
Repeated-root constacyclic codes of length klp over finite fields4
On the distribution of multivariate Jacobi sums4
On diagonal equations over finite fields4
Triple intersection numbers for the Paley graphs4
An explicit expression for Euclidean self-dual cyclic codes of length 2 over Galois ring GR(4,m)4
Automorphisms of the supersingular isogeny graph4
Several classes of permutation polynomials over the finite field F4
On ⁎-clean group rings over finite fields4
Editorial Board4
On the constructions of Zp4
On a generalization of Jacobi sums4
Sequence subgroups generated by lifting4
The Bertini irreducibility theorem for higher codimensional slices3
Editorial Board3
Counting the number of the twists of certain polarized abelian varieties3
New classes of optimal p-ary cyclic codes with minimum distance four3
New constructions of abelian non-cyclic orbit codes based on parabolic subgroups and tensor products3
A note on the intersection of two distinct constacyclic codes3
Editorial Board3
Existence of pencils with nonblocking hypersurfaces3
Locally recoverable codes from towers of function fields3
Configurations of rectangles in F3
On the P-construction of algebraic-geometry codes3
Pseudorandom vector generation using elliptic curves and applications to Wiener processes3
Editorial Board3
Maximality of Ciani curves over finite fields3
Some enumeration results on trace forms of low radical over finite fields of characteristic two3
Counting irreducible polynomials with prescribed coefficients over a finite field3
On the p-rank of singular curves and their smooth models3
Editorial Board3
Permutation properties of Dickson and Chebyshev polynomials with connections to number theory3
Irreducible polynomials from a cubic transformation3
On primitive elements of finite fields avoiding affine hyperplanes3
Editorial Board3
Generalized trigonometry and Chebyshev functions in finite fields3
On diagonal equations over finite fields via walks in NEPS of graphs3
On the construction of irreducible and primitive polynomials from F3
New Galois hulls of generalized Reed-Solomon codes3
On the relative growth rate of the product of consecutive partial quotients in continued fraction expansions of Laurent series3
The distance function on Coxeter-like graphs and self-dual codes3
Implicit functions over finite fields and their applications to good cryptographic functions and linear codes3
An analogue of Girstmair's formula in function fields3
Editorial Board3
On cohomology of generalized Suzuki curves and exponential sums3
Denniston partial difference sets exist in the odd prime case3
Quadratic residue patterns, algebraic curves and a K3 surface3
On the distribution of the entries of a fixed-rank random matrix over a finite field3
Editorial Board3
The compositional inverses of three classes of permutation polynomials over finite fields3
A structure theorem for the restricted sum of four squares2
On the graph of non-degenerate linear [n,2]2 codes2
Stabilizer quantum codes defined by trace-depending polynomials2
On sums of Betti numbers of affine varieties2
Pure Gauss sums and skew Hadamard difference sets2
On the computation of r-th roots in finite fields2
Counting polynomials over finite fields with prescribed leading coefficients and linear factors2
On the stopping time of the Collatz map in F2
Critical Problem for codes over finite chain rings2
Spectral properties of Cayley graphs over M×(F)2
Quasi-balanced weighing matrices, signed strongly regular graphs and association schemes2
Galois subcovers of the Hermitian curve in characteristic p with respect to subgroups of order p22
On the number of k-normal elements and F2
The resultant method in higher dimensions2
New binary self-dual codes of lengths 56, 58, 64, 80 and 92 from a modification of the four circulant construction2
Several classes of Galois self-orthogonal MDS codes and related applications2
Additive one-rank hull codes over finite fields2
Construction of systematic (k + 1,k) memory MDS sliding window codes over embedded fields2
Appell series over finite fields and modular forms2
Classifications and constructions of minimum size linear sets on the projective line2
Index calculus algorithm for non-planar curves2
On the constructions of MDS self-dual codes via cyclotomy2
Higher Grassmann codes II2
New classes of permutation trinomials of F2
Classification of some quadrinomials over finite fields of odd characteristic2
A class of power functions with four-valued Walsh transform and related cyclic codes2
Regular sets of lines in rank 3 polar spaces2
Two-to-one mappings and involutions without fixed points over F2
On the duality of cyclic codes of length p over F2
An algorithm for counting arcs in higher-dimensional projective space2
Oriented supersingular elliptic curves and Eichler orders of prime level2
A further study of quadratic APN permutations in dimension nine2
Editorial Board2
On binary locally repairable codes with distance four2
On the Grassmann graph of linear codes2
Negative Latin square type partial difference sets in nonabelian groups of order 642
Constructions and decoding of GC-balanced codes for edit errors2
Two-point AG codes from the Beelen-Montanucci maximal curve2
On the number of irreducible factors with a given multiplicity in function fields2
Weight distribution of double cyclic codes over F<2
Maximal curves and Tate-Shafarevich results for quartic and sextic twists2
Generalized almost perfect nonlinear binomials and trinomials over fields of prime-square order2
Partitioned difference families and harmonious linear spaces2
A new direction on constructing irreducible polynomials over finite fields2
A note on the distribution of weights of fixed-rank matrices over the binary field2
The radical of binary dimensional dual hyperovals2
Goppa codes over the p-adic integers and integers modulo p2
Several classes of linear codes with few weights from the closed butterfly structure2
On a conjecture on permutation rational functions over finite fields2
On the distribution of quadratic residues2
The cross-correlation values of a class of sequences with different lengths2
Four infinite families of ternary cyclic codes with a square-root-like lower bound2
An orbital construction of optimum distance flag codes2
Odd moments for the trace of Frobenius and the Sato–Tate conjecture in arithmetic progressions2
Primitive normal pairs with prescribed norm and trace2
Hulls of cyclic serial codes over a finite chain ring2
On the boomerang uniformity of permutations of low Carlitz rank2
Relation between o-equivalence and EA-equivalence for Niho bent functions2
Sum-rank product codes and bounds on the minimum distance2
More on the DLW conjectures2
The weight enumerators of singly-even self-dual [88,44,14] codes and new binary self-dual [68,34,12] and [88,44,14] codes2
Paley-like graphs over finite fields from vector spaces2
Four new families of NMDS codes with dimension 4 and their applications2
Webs and squabs of conics over finite fields2
F-valued trace of a finite-dimensional commutative 2
On divisors of sums of polynomials2
Three proofs of an observation on irreducible polynomials over GF(2)2
The moments and statistical distribution of class number of primes over function fields1
The crooked property1
The number of solutions of diagonal cubic equations over finite fields1
Weierstrass semigroups and automorphism group of a maximal curve with the third largest genus1
Finite period vectors and Gauss sums1
The Gross-Koblitz formula and almost circulant matrices related to Jacobi sums1
Low-lying zeros in families of elliptic curve L-functions over function fields1
Linear sets from projection of Desarguesian spreads1
On a classification of the automorphism groups of polarized abelian surfaces over finite fields1
Analysis of generalized continued fraction algorithms over polynomials1
Bounds in the Lee metric and optimal codes1
Cyclic 2-spreads in V(6,q) and flag-transitive linear spaces1
The probability of spanning a classical space by two non-degenerate subspaces of complementary dimensions1
Editorial Board1
An approach to the moments subset sum problem through systems of diagonal equations over finite fields1
Hulls of double cyclic codes1
More classes of permutation quadrinomials from Niho exponents in characteristic two1
On CCZ-equivalence between the Bracken-Tan-Tan function and power functions1
Editorial Board1
The complexity of elliptic normal bases1
Subconstituents of unitary Cayley graph of matrix algebras1
A new identity of Dickson polynomials1
Well-covered unitary Cayley graphs of matrix rings over finite fields and applications1
Application of Hermitian self-orthogonal GRS codes to some quantum MDS codes1
A modular equality for Cameron-Liebler line classes in projective and affine spaces of odd dimension1
Characterising elliptic and hyperbolic hyperplanes of the parabolic quadric Q1
On the construction of nonbinary LCD quadratic residue and double quadratic residue codes1
On the Northcott property of zeta functions over function fields1
MacWilliams duality for rank metric codes over finite chain rings1
Few-weight linear codes over Fp<1
A structural attack to the DME-(3,2,q) cryptosystem1
Polycyclic codes overF1
On construction and (non)existence of c-(almost) perfect nonlinear functions1
On LCD, self dual and isodual cyclic codes over finite chain rings1
Editorial Board1
On the existence and construction of maximum distance profile convolutional codes1
Skew constacyclic codes of lengths p and 2p over F1
Local permutation polynomials and the action of e-Klenian groups1
On the square code of group codes1
Multi-orbit cyclic subspace codes and linear sets1
Semi-regularity of pairs of Boolean polynomials1
p-Adic valuations associated to fibers and images of polynomial functions1
Diagonal hypersurfaces and elliptic curves over finite fields and hypergeometric functions1
New families of flag-transitive linear spaces1
Exponential sums and rigid cohomology1
Cyclic arcs of Singer type and strongly regular Cayley graphs over finite fields1
Erasure list-decodable codes and Turán hypercube problems1
Maximum number of points on an intersection of a cubic threefold and a non-degenerate Hermitian threefold1
Editorial Board1
A spherical extension theorem and applications in positive characteristic1
An approach to normal polynomials through symmetrization and symmetric reduction1
Fq1
Newton polygons of L-functions associated to Deligne polynomials1
Classifying planar monomials over fields of order a prime cubed1
Doubly and triply extended MSRD codes1
Threshold functions for incidence properties in finite vector spaces1
On the proportion of locally soluble superelliptic curves1
An algebraic attack to the Bluetooth stream cipher E01
In Memory of Professor Zhexian Wan1
Invariant rational functions, linear fractional transformations and irreducible polynomials over finite fields1
Enveloping sieve related to the Hardy-Littlewood irreducible tuple conjecture in a function field1
New advances in permutation decoding of first-order Reed-Muller codes1
On monomial generalized almost perfect nonlinear functions1
Self-orthogonal codes over Z41
Frames over finite fields: Basic theory and equiangular lines in unitary geometry1
(2p + 1)-class association schemes from the generalized Maiorana-McFarland class1
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