Finite Fields and Their Applications

Article	Citations
LCD codes from tridiagonal Toeplitz matrices	29
On construction and (non)existence of c-(almost) perfect nonlinear functions	25
On a conjecture about a class of permutation quadrinomials	18
A family of permutation trinomials over F	15
Minimal linear codes from Maiorana-McFarland functions	15
Solving x2	15
The parameters of minimal linear codes	14
Optimal cyclic (r,δ) locally repairable codes with unbounded length	14
On equivalence between known families of quadratic APN functions	14
Solving X+1 + X + a = 0 over finite fields	14
The differential spectrum of a ternary power mapping	13
New classes of optimal ternary cyclic codes with minimum distance four	13
Application of Hermitian self-orthogonal GRS codes to some quantum MDS codes	12
Group codes over fields are asymptotically good	12
On the minimum weights of binary LCD codes and ternary LCD codes	11
Flag codes from planar spreads in network coding	11
On oriented supersingular elliptic curves	11
Polycyclic codes as invariant subspaces	11
Asymptotically good Z	10
Additive cyclic complementary dual codes over F	10
More classes of permutation quadrinomials from Niho exponents in characteristic two	10
Existence of primitive 2-normal elements in finite fields	9
Further results on optimal ternary cyclic codes	9
On the constructions of n-cycle permutations	9
Two classes of permutation trinomials with Niho exponents	9

Self-reciprocal and self-conjugate-reciprocal irreducible factors of x − λ and their applications	9
On a type of permutation rational functions over finite fields	8
On the clique number of Paley graphs of prime power order	8
On pencils of cubics on the projective line over finite fields of characteristic >3	8
On planes through points off the twisted cubic in PG(3,q) and multiple covering codes	8
On 2-dimensional insertion-deletion Reed-Solomon codes with optimal asymptotic error-correcting capability	8
A class of almost MDS codes	8
Extending two families of maximum rank distance codes	8
Few-weight codes over a non-chain ring associated with simplicial complexes and their distance optimal Gray image	7
2 Bordered constructions of self-dual codes from group rings	7
New extremal binary self-dual codes of length 68 from generalized neighbors	7
Derivations of group rings for finite and FC groups	7
Some new results on dimension and Bose distance for various classes of BCH codes	7
On trinomials of type X+(1 + AX(−1) + BX(−1)), n, m odd, over F	7
Unitary Cayley graphs of matrix rings over finite commutative rings	7
Two classes of permutation trinomials with Niho exponents over finite fields with even characteristic	7
Two-to-one mappings and involutions without fixed points over F	6
Permutation polynomials of the form x + L(x) over F	6
Investigating the exceptionality of scattered polynomials	6
Classification of fractional projective permutations over finite fields	6
Constructions of near MDS codes which are optimal locally recoverable codes	6
Permutation polynomials of degree 8 over finite fields of characteristic 2	6
Sum-rank product codes and bounds on the minimum distance	6
Several classes of complete permutation polynomials with Niho exponents	6
Two families of optimal ternary cyclic codes with minimal distance four	6
Several classes of permutation polynomials of the form (	5
Weight distributions and weight hierarchies of two classes of binary linear codes	5
On the differential properties of the power mapping x	5
Several classes of linear codes with few weights from the closed butterfly structure	5
A bound on the minimum distance of generalized quasi-twisted codes	5
Resolving sets for higher dimensional projective spaces	5
Duals of non-weakly regular bent functions are not weakly regular and generalization to plateaued functions	5
Classification of quadratic APN functions with coefficients in F	5
Complete solution over F	5
Hulls of cyclic serial codes over a finite chain ring	5
A further study of quadratic APN permutations in dimension nine	5
New point compression method for elliptic F	5
New binary self-dual codes of lengths 56, 58, 64, 80 and 92 from a modification of the four circulant construction	5
On a conjecture on permutation rational functions over finite fields	5
An orbital construction of optimum distance flag codes	5
New Galois hulls of generalized Reed-Solomon codes	5
Some basic results on finite linear recurring sequence subgroups	4
On special pairs of primitive elements over a finite field	4
Intersection distribution, non-hitting index and Kakeya sets in affine planes	4
On intersection density of transitive groups of degree a product of two odd primes	4
New generalized almost perfect nonlinear functions	4
New classes of permutation trinomials over F	4
More results on hulls of some primitive binary and ternary BCH codes	4
Linear sets from projection of Desarguesian spreads	4
Commutative association schemes obtained from twin prime powers, Fermat primes, Mersenne primes	4

Constructing new differentially 4-uniform permutations from known ones	4
Complete weight enumerators for several classes of two-weight and three-weight linear codes	4
New stabilizer codes from the construction of dual-containing matrix-product codes	4
Hulls of double cyclic codes	4
Systematic maximum sum rank codes	4
On r-primitive k-normal elements over finite fields	4
On the Grassmann graph of linear codes	4
On some determinants involving Jacobi symbols	4
Intersections between the norm-trace curve and some low degree curves	4
Correlation measure, linear complexity and maximum order complexity for families of binary sequences	4
Some sum-product estimates in matrix rings over finite fields	4
Metrical properties for continued fractions of formal Laurent series	3
Galois hulls of special Goppa codes and related codes with application to EAQECCs	3
Investigations of c-differential uniformity of permutations with Carlitz rank 3	3
On a classification of the automorphism groups of polarized abelian surfaces over finite fields	3
Multi-orbit cyclic subspace codes and linear sets	3
Counting irreducible polynomials with prescribed coefficients over a finite field	3
An infinite family of m-ovoids of Q(4,q)	3
The c-differential uniformity and boomerang uniformity of three classes of permutation polynomials over	3
On subfields of the second generalization of the GK maximal function field	3
On eigenfunctions and maximal cliques of generalised Paley graphs of square order	3
New Wilson-like theorems arising from Dickson polynomials	3
Constructions of cyclic codes and extended primitive cyclic codes with their applications	3
A multivariate cryptosystem inspired by random linear codes	3
A necessary and sufficient condition for a class of nonsingular Galois NFSRs	3
A structure theorem for finite fields	3
Roos bound for skew cyclic codes in Hamming and rank metric	3
Almost affinely disjoint subspaces	3
Frames over finite fields: Basic theory and equiangular lines in unitary geometry	3
Super-regular Steiner 2-designs	3
On enumeration of irreducible polynomials and related objects over a finite field with respect to their trace and norm	3
Construction of reversible self-dual codes	3
Almost perfect nonlinear families which are not equivalent to permutations	3
On diagonal equations over finite fields	3
Primitive elements with prescribed traces	3
Two-point AG codes from the Beelen-Montanucci maximal curve	3
A refinement of Müller's cube root algorithm	3
Explicit equations for maximal curves as subcovers of the BM curve	3
Cameron-Liebler line classes in AG(3,q)	3
Several classes of complete permutation polynomials over finite fields of even characteristic	3
Elliptic curves over Fp	3
Counting solutions of special linear equations over finite fields	3
On the error-correcting pair for MDS linear codes with even minimum distance	3
A class of linear sets in PG(1,q5)	3
New differentially 4-uniform permutations from modifications of the inverse function	3
Subconstituents of unitary Cayley graph of matrix algebras	3
On diagonal equations over finite fields via walks in NEPS of graphs	3
A Bertini type theorem for pencils over finite fields	3
Weierstrass semigroups on the Skabelund maximal curve	3
On the size of primitive sets in function fields	3
On the number of zeros to the equation f(x1)+... + f(x)=a over finite fields	3
The graph of 4-ary simplex codes of dimension 2	3
Weight distributions of generalized quasi-cyclic codes over F	3
Algebraic structure of additive conjucyclic codes over F	3
On the constructions of Zp	3
On incidence bounds with Möbius hyperbolae in positive characteristic	3
Hasse polynomials of L-functions of certain exponential sums	3
Splitting subspaces of linear operators over finite fields	3
Moments of Dirichlet L–functions with prime conductors over function fields	2
Jacobsthal sums and permutations of biquadratic residues	2
Homogeneous metric and matrix product codes over finite commutative principal ideal rings	2
Locally recoverable J-affine variety codes	2
A note on the stability of trinomials over finite fields	2
Five infinite families of binary cyclic codes and their related codes with good parameters	2
An explicit expression for Euclidean self-dual cyclic codes of length 2 over Galois ring GR(4,m)	2
A new class of generalized almost perfect nonlinear power function	2
A new identity of Dickson polynomials	2
New singly and doubly even binary [72,36,12] self-dual codes from M2(R)G - group matrix rings	2
Divisibility on point counting over finite Witt rings	2
On the subset sum problem for finite fields	2
Point-line incidence on Grassmannians and majority logic decoding of Grassmann codes	2
Completing the determination of the next-to-minimal weights of affine cartesian codes	2
Artin's primitive root conjecture for function fields revisited	2
Energy bounds, bilinear forms and their applications in function fields	2
On the boomerang uniformity of permutations of low Carlitz rank	2
Hamming weight enumerators of multi-twisted codes with at most two non-zero constituents	2
Classification of some quadrinomials over finite fields of odd characteristic	2
On the constructions of MDS self-dual codes via cyclotomy	2
New examples of maximal curves with low genus	2
Completely characterizing a class of permutation quadrinomials	2

Primitive normal pairs with prescribed norm and trace	2
Classification of 9-dimensional trilinear alternating forms over GF(2)	2
A formula on the weight distribution of linear codes with applications to AMDS codes	2
Linear codes associated to symmetric determinantal varieties: Even rank case	2
On monomial generalized almost perfect nonlinear functions	2
Coset-wise affine functions and cycle types of complete mappings	2
Simplified isogeny formulas on twisted Jacobi quartic curves	2
Flag codes of maximum distance and constructions using Singer groups	2
On equivalence between known polynomial APN functions and power APN functions	2
Del Pezzo surfaces over finite fields	2
A new extension theorem for ternary linear codes and its application	2
Solving some affine equations over finite fields	2
Algebraic geometry codes over abelian surfaces containing no absolutely irreducible curves of low genus	2
Classifying planar monomials over fields of order a prime cubed	2
A family of planar binomials in characteristic 2	2
The probability of spanning a classical space by two non-degenerate subspaces of complementary dimensions	2
Stabilizer quantum codes defined by trace-depending polynomials	2
Pure Gauss sums and skew Hadamard difference sets	2
On nested code pairs from the Hermitian curve	2
Analogues of Alladi's formula over global function fields	2
On the equational graphs over finite fields	2
A link between two classes of permutation polynomials	2
Constructions of projective linear codes by the intersection and difference of sets	2
An asymptotically optimal construction of almost affinely disjoint subspaces	2
Extending two families of bivariate APN functions	2
On ⁎-clean group rings over finite fields	2
Some new constructions of MDS self-dual codes over finite fields	2
Covers of generalized quadrangles, 2. Kantor-Knuth covers and embedded ovoids	2
On exponential sums of x + λx with p ≡ e(mod d)	2
A note on character sums in function fields	2
Perfect linear complexity profile and apwenian sequences	2
On non-monomial APcN permutations over finite fields of even characteristic	2
Newton polygons of L-functions associated to Deligne polynomials	2
Additive G-codes over Fq	2
An infinite family of Griesmer quasi-cyclic self-orthogonal codes	2
On binary locally repairable codes with distance four	2