Finite Fields and Their Applications

Article	Citations
LCD codes from tridiagonal Toeplitz matrices	35
On construction and (non)existence of c-(almost) perfect nonlinear functions	27
On oriented supersingular elliptic curves	21
A family of permutation trinomials over F	19
On the minimum weights of binary LCD codes and ternary LCD codes	18
Solving X+1 + X + a = 0 over finite fields	16
The parameters of minimal linear codes	15
More classes of permutation quadrinomials from Niho exponents in characteristic two	15
Flag codes from planar spreads in network coding	14
Application of Hermitian self-orthogonal GRS codes to some quantum MDS codes	13
Polycyclic codes as invariant subspaces	13
Extending two families of maximum rank distance codes	12
Additive cyclic complementary dual codes over F	12
Group codes over fields are asymptotically good	12
Two classes of permutation trinomials with Niho exponents	11
Further results on optimal ternary cyclic codes	11
Constructions of near MDS codes which are optimal locally recoverable codes	11
Few-weight codes over a non-chain ring associated with simplicial complexes and their distance optimal Gray image	11
Permutation polynomials of the form x + L(x) over F	10
Two-to-one mappings and involutions without fixed points over F	10
Existence of primitive 2-normal elements in finite fields	10
On the clique number of Paley graphs of prime power order	10
A class of almost MDS codes	9
On 2-dimensional insertion-deletion Reed-Solomon codes with optimal asymptotic error-correcting capability	9
Weight distributions and weight hierarchies of two classes of binary linear codes	9

Two classes of permutation trinomials with Niho exponents over finite fields with even characteristic	9
Correlation measure, linear complexity and maximum order complexity for families of binary sequences	9
On the constructions of n-cycle permutations	9
New classes of permutation trinomials over F	8
On a type of permutation rational functions over finite fields	8
On pencils of cubics on the projective line over finite fields of characteristic >3	8
Two families of optimal ternary cyclic codes with minimal distance four	8
An orbital construction of optimum distance flag codes	8
Derivations of group rings for finite and FC groups	8
Multi-orbit cyclic subspace codes and linear sets	8
On trinomials of type X+(1 + AX(−1) + BX(−1)), n, m odd, over F	8
On the differential properties of the power mapping x	7
A further study of quadratic APN permutations in dimension nine	7
Investigating the exceptionality of scattered polynomials	7
Classification of fractional projective permutations over finite fields	7
Several classes of permutation polynomials of the form (	7
Several classes of linear codes with few weights from the closed butterfly structure	7
New point compression method for elliptic F	6
Super-regular Steiner 2-designs	6
Several classes of complete permutation polynomials with Niho exponents	6
Two-point AG codes from the Beelen-Montanucci maximal curve	6
Constructions of cyclic codes and extended primitive cyclic codes with their applications	6
Flag codes of maximum distance and constructions using Singer groups	6
On intersection density of transitive groups of degree a product of two odd primes	5
Complete solution over F	5
On a conjecture on permutation rational functions over finite fields	5
On the constructions of Zp	5
The c-differential uniformity and boomerang uniformity of three classes of permutation polynomials over	5
On incidence bounds with Möbius hyperbolae in positive characteristic	5
New binary self-dual codes of lengths 56, 58, 64, 80 and 92 from a modification of the four circulant construction	5
New Galois hulls of generalized Reed-Solomon codes	5
Several classes of complete permutation polynomials over finite fields of even characteristic	5
On eigenfunctions and maximal cliques of generalised Paley graphs of square order	5
Classification of quadratic APN functions with coefficients in F	5
Sum-rank product codes and bounds on the minimum distance	5
Hulls of cyclic serial codes over a finite chain ring	5
On binary locally repairable codes with distance four	4
A multivariate cryptosystem inspired by random linear codes	4
Weierstrass semigroups on the Skabelund maximal curve	4
A necessary and sufficient condition for a class of nonsingular Galois NFSRs	4
Five infinite families of binary cyclic codes and their related codes with good parameters	4
Investigations of c-differential uniformity of permutations with Carlitz rank 3	4
Some basic results on finite linear recurring sequence subgroups	4
Extending two families of bivariate APN functions	4
On special pairs of primitive elements over a finite field	4
On the Grassmann graph of linear codes	4
On non-monomial APcN permutations over finite fields of even characteristic	4
Elliptic curves overFp<	4
Bases of Riemann–Roch spaces from Kummer extensions and algebraic geometry codes	4
Almost affinely disjoint subspaces	4

Hulls of double cyclic codes	4
On r-primitive k-normal elements over finite fields	4
Newton polygons of L-functions associated to Deligne polynomials	4
On the number of zeros to the equation f(x1)+... + f(x)=a over finite fields	4
Simplified isogeny formulas on twisted Jacobi quartic curves	4
Splitting subspaces of linear operators over finite fields	4
New generalized almost perfect nonlinear functions	4
Two new classes of projective two-weight linear codes	4
More results on hulls of some primitive binary and ternary BCH codes	4
Galois hulls of special Goppa codes and related codes with application to EAQECCs	4
Linear sets from projection of Desarguesian spreads	4
An infinite family of Griesmer quasi-cyclic self-orthogonal codes	3
Classifications and constructions of minimum size linear sets on the projective line	3
Primitive normal pairs with prescribed norm and trace	3
Partially scattered linearized polynomials and rank metric codes	3
A formula on the weight distribution of linear codes with applications to AMDS codes	3
On diagonal equations over finite fields	3
A Bertini type theorem for pencils over finite fields	3
Linearity and classification of Z	3
On equivalence between known polynomial APN functions and power APN functions	3
Counting solutions of special linear equations over finite fields	3
Hamming weight enumerators of multi-twisted codes with at most two non-zero constituents	3
The minimal polynomials of modified de Bruijn sequences revisited	3
Frames over finite fields: Basic theory and equiangular lines in unitary geometry	3
Doubly and triply extended MSRD codes	3
The number of solutions of diagonal cubic equations over finite fields	3
On enumeration of irreducible polynomials and related objects over a finite field with respect to their trace and norm	3
On diagonal equations over finite fields via walks in NEPS of graphs	3
New examples of maximal curves with low genus	3
New results on permutation binomials of finite fields	3
Hasse polynomials of L-functions of certain exponential sums	3
Explicit equations for maximal curves as subcovers of the BM curve	3
Primitive elements with prescribed traces	3
Additive G-codes over Fq	3
Weight distributions of generalized quasi-cyclic codes over F	3
A structure theorem for finite fields	3
Some sum-product estimates in matrix rings over finite fields	3
Roos bound for skew cyclic codes in Hamming and rank metric	3
On the error-correcting pair for MDS linear codes with even minimum distance	3
On a classification of the automorphism groups of polarized abelian surfaces over finite fields	3
The probability of spanning a classical space by two non-degenerate subspaces of complementary dimensions	3
Subconstituents of unitary Cayley graph of matrix algebras	3
Counting irreducible polynomials with prescribed coefficients over a finite field	3
On ⁎-clean group rings over finite fields	3
An asymptotically optimal construction of almost affinely disjoint subspaces	3
New Wilson-like theorems arising from Dickson polynomials	3
Solving X2	3
Classification of 9-dimensional trilinear alternating forms over GF(2)	3
Coset-wise affine functions and cycle types of complete mappings	3
Analogues of Alladi's formula over global function fields	3
New differentially 4-uniform permutations from modifications of the inverse function	3
Metrical properties for continued fractions of formal Laurent series	3
On some conjectures on generalized quadratic Gauss sums and related problems	3
A general construction of permutation polynomials of F	3
Divisibility on point counting over finite Witt rings	2
On a generalization of Jacobi sums	2
Solving some affine equations over finite fields	2
Several families of binary cyclic codes with good parameters	2
Bounds for two multicolor Ramsey numbers concerning quadrilaterals	2
On exponential sums of x + λx with p ≡ e(mod d)	2
A new class of generalized almost perfect nonlinear power function	2
On monomial generalized almost perfect nonlinear functions	2
Dynamics on the number of prime divisors for additive arithmetic semigroups	2
An algebraic attack to the Bluetooth stream cipher E0	2
Some new constructions of MDS self-dual codes over finite fields	2
Bounds in the Lee metric and optimal codes	2
Classification of flocks of the quadratic cone in PG(3,64)	2
On the boomerang uniformity of permutations of low Carlitz rank	2
On a family of 2-automatic sequences generating algebraic continued fractions in characteristic 2	2
F-valued trace of a finite-dimensional commutative	2
Rédei permutations with the same cycle structure	2
Jacobsthal sums and permutations of biquadratic residues	2
On subgroup perfect codes in Cayley sum graphs	2
Permutation binomials of the form x(x−1 + a) over F	2
On the constructions of MDS self-dual codes via cyclotomy	2
Centralized variant of the Li criterion on functions fields	2
Paley-like graphs over finite fields from vector spaces	2
A tight upper bound on the number of non-zero weights of a constacyclic code	2
On the number of Diophantine m-tuples in finite fields	2
Near-MDS codes from maximal arcs in PG(2,q)	2

Point-line incidence on Grassmannians and majority logic decoding of Grassmann codes	2
Complete weight enumerators for several classes of two-weight and three-weight linear codes	2
An explicit expression for Euclidean self-dual cyclic codes of length 2 over Galois ring GR(4,m)	2
A new identity of Dickson polynomials	2
Further improvements to the Chevalley-Warning theorems	2
Symmetric polynomials over finite fields	2
The additive index of polynomials over finite fields	2
Invariant rational functions, linear fractional transformations and irreducible polynomials over finite fields	2
Completing the determination of the next-to-minimal weights of affine cartesian codes	2
A structural attack to the DME-(3,2,q) cryptosystem	2
Generic Newton polygons for L-functions of (A,B)-exponential sums	2
Four infinite families of ternary cyclic codes with a square-root-like lower bound	2
On the differential spectrum of a differentially 3-uniform power function	2
Classification of some quadrinomials over finite fields of odd characteristic	2
Energy bounds, bilinear forms and their applications in function fields	2
Stabilizer quantum codes defined by trace-depending polynomials	2
On additive MDS codes with linear projections	2
A class of linear sets in PG(1,q5)	2
Pure Gauss sums and skew Hadamard difference sets	2
The syndromes decoding algorithm in group codes	2
Del Pezzo surfaces over finite fields	2
Permutation properties of Dickson and Chebyshev polynomials with connections to number theory	2
Perfect linear complexity profile and apwenian sequences	2
Constructions of optimal Hermitian self-dual codes from unitary matrices	2
Covers of generalized quadrangles, 2. Kantor-Knuth covers and embedded ovoids	2
Character sums over elements of extensions of finite fields with restricted coordinates	2
On sums and products of combinatorial cubes	2
Cyclotomic matrices and hypergeometric functions over finite fields	2
Linear codes associated to symmetric determinantal varieties: Even rank case	2
Moments of quadratic Dirichlet L-functions over function fields	2
On the subset sum problem for finite fields	2
Enumeration of self-reciprocal irreducible monic polynomials with prescribed leading coefficients over a finite field	2
A note on character sums in function fields	2
Hamming distances of constacyclic codes of length 3p and optimal codes with respect to the Griesmer and Singleton bounds	2
Necessary and sufficient conditions of two classes of permutation polynomials	2
Appell series over finite fields and modular forms	2
Completely characterizing a class of permutation quadrinomials	2
Several classes of Galois self-orthogonal MDS codes and related applications	2
Character sums over affine spaces and applications	2
Algebraic geometry codes over abelian surfaces containing no absolutely irreducible curves of low genus	2
Configurations of rectangles in F	2
A new result on irreducible NFSRs with respect to cascade connection	2
A note on semi-orthogonal (G-matrix) and semi-involutory MDS matrices	2
On nested code pairs from the Hermitian curve	2
Fractional decoding of r-Hermitian codes	2