OOIR: Observatory of International Research

Papers

(The TQCC of Finite Fields and Their Applications is 3. 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 2020-05-01 to 2024-05-01.)

Article	Citations
LCD codes from tridiagonal Toeplitz matrices	32
On construction and (non)existence of c-(almost) perfect nonlinear functions	26
On a conjecture about a class of permutation quadrinomials	18
Solving X+1 + X + a = 0 over finite fields	16
Minimal linear codes from Maiorana-McFarland functions	15
A family of permutation trinomials over F	15
On equivalence between known families of quadratic APN functions	14
The parameters of minimal linear codes	14
On the minimum weights of binary LCD codes and ternary LCD codes	13
New classes of optimal ternary cyclic codes with minimum distance four	13
The differential spectrum of a ternary power mapping	13
Application of Hermitian self-orthogonal GRS codes to some quantum MDS codes	13
On oriented supersingular elliptic curves	12
Flag codes from planar spreads in network coding	12
Group codes over fields are asymptotically good	12
More classes of permutation quadrinomials from Niho exponents in characteristic two	11
Additive cyclic complementary dual codes over F	11
Existence of primitive 2-normal elements in finite fields	10
Polycyclic codes as invariant subspaces	10
Extending two families of maximum rank distance codes	9
Two classes of permutation trinomials with Niho exponents	9
Some new results on dimension and Bose distance for various classes of BCH codes	9
On the constructions of n-cycle permutations	9
Further results on optimal ternary cyclic codes	9
On pencils of cubics on the projective line over finite fields of characteristic >3	8

Permutation polynomials of the form x + L(x) over F	8
On a type of permutation rational functions over finite fields	8
On the clique number of Paley graphs of prime power order	8
Few-weight codes over a non-chain ring associated with simplicial complexes and their distance optimal Gray image	8
Unitary Cayley graphs of matrix rings over finite commutative rings	8
Two classes of permutation trinomials with Niho exponents over finite fields with even characteristic	8
Constructions of near MDS codes which are optimal locally recoverable codes	8
A class of almost MDS codes	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
Derivations of group rings for finite and FC groups	7
Investigating the exceptionality of scattered polynomials	7
On trinomials of type X+(1 + AX(−1) + BX(−1)), n, m odd, over F	7
Several classes of permutation polynomials of the form (	6
Two families of optimal ternary cyclic codes with minimal distance four	6
Two-to-one mappings and involutions without fixed points over F	6
New extremal binary self-dual codes of length 68 from generalized neighbors	6
Permutation polynomials of degree 8 over finite fields of characteristic 2	6
2 Bordered constructions of self-dual codes from group rings	6
An orbital construction of optimum distance flag codes	6
Several classes of complete permutation polynomials with Niho exponents	6
Sum-rank product codes and bounds on the minimum distance	6
Classification of fractional projective permutations over finite fields	6
Correlation measure, linear complexity and maximum order complexity for families of binary sequences	5
On the differential properties of the power mapping x	5
Complete solution over F	5
Several classes of linear codes with few weights from the closed butterfly structure	5
New Galois hulls of generalized Reed-Solomon codes	5
Constructions of cyclic codes and extended primitive cyclic codes with their applications	5
Weight distributions and weight hierarchies of two classes of binary linear codes	5
Classification of quadratic APN functions with coefficients in F	5
Hulls of cyclic serial codes over a finite chain ring	5
A further study of quadratic APN permutations in dimension nine	5
On some determinants involving Jacobi symbols	5
New point compression method for elliptic F	5
New classes of permutation trinomials over F	5
Multi-orbit cyclic subspace codes and linear sets	5
On a conjecture on permutation rational functions over finite fields	5
A bound on the minimum distance of generalized quasi-twisted codes	5
Resolving sets for higher dimensional projective spaces	5
On the Grassmann graph of linear codes	4
On the constructions of Zp	4
A necessary and sufficient condition for a class of nonsingular Galois NFSRs	4
New generalized almost perfect nonlinear functions	4
Hulls of double cyclic codes	4
More results on hulls of some primitive binary and ternary BCH codes	4
Linear sets from projection of Desarguesian spreads	4
On special pairs of primitive elements over a finite field	4
Intersection distribution, non-hitting index and Kakeya sets in affine planes	4
Complete weight enumerators for several classes of two-weight and three-weight linear codes	4

Duals of non-weakly regular bent functions are not weakly regular and generalization to plateaued functions	4
Elliptic curves over Fp	4
Systematic maximum sum rank codes	4
Some basic results on finite linear recurring sequence subgroups	4
New binary self-dual codes of lengths 56, 58, 64, 80 and 92 from a modification of the four circulant construction	4
On the size of primitive sets in function fields	4
A multivariate cryptosystem inspired by random linear codes	4
On eigenfunctions and maximal cliques of generalised Paley graphs of square order	4
Intersections between the norm-trace curve and some low degree curves	4
On intersection density of transitive groups of degree a product of two odd primes	4
Galois hulls of special Goppa codes and related codes with application to EAQECCs	4
Some sum-product estimates in matrix rings over finite fields	4
Super-regular Steiner 2-designs	4
On r-primitive k-normal elements over finite fields	4
On a classification of the automorphism groups of polarized abelian surfaces over finite fields	3
Subconstituents of unitary Cayley graph of matrix algebras	3
Two-point AG codes from the Beelen-Montanucci maximal curve	3
A Bertini type theorem for pencils over finite fields	3
Construction of reversible self-dual codes	3
Explicit equations for maximal curves as subcovers of the BM curve	3
Almost perfect nonlinear families which are not equivalent to permutations	3
New Wilson-like theorems arising from Dickson polynomials	3
Cameron-Liebler line classes in AG(3,q)	3
On diagonal equations over finite fields	3
Locally recoverable J-affine variety codes	3
Counting solutions of special linear equations over finite fields	3
Investigations of c-differential uniformity of permutations with Carlitz rank 3	3
Almost affinely disjoint subspaces	3
Five infinite families of binary cyclic codes and their related codes with good parameters	3
An infinite family of Griesmer quasi-cyclic self-orthogonal codes	3
On enumeration of irreducible polynomials and related objects over a finite field with respect to their trace and norm	3
The graph of 4-ary simplex codes of dimension 2	3
Primitive normal pairs with prescribed norm and trace	3
Weierstrass semigroups on the Skabelund maximal curve	3
On subfields of the second generalization of the GK maximal function field	3
A formula on the weight distribution of linear codes with applications to AMDS codes	3
A refinement of Müller's cube root algorithm	3
Several classes of complete permutation polynomials over finite fields of even characteristic	3
Additive G-codes over Fq	3
On the number of zeros to the equation f(x1)+... + f(x)=a over finite fields	3
A structure theorem for finite fields	3
Flag codes of maximum distance and constructions using Singer groups	3
Roos bound for skew cyclic codes in Hamming and rank metric	3
Frames over finite fields: Basic theory and equiangular lines in unitary geometry	3
A class of linear sets in PG(1,q5)	3
Newton polygons of L-functions associated to Deligne polynomials	3
On binary locally repairable codes with distance four	3
Primitive elements with prescribed traces	3
Counting irreducible polynomials with prescribed coefficients over a finite field	3
On diagonal equations over finite fields via walks in NEPS of graphs	3
The c-differential uniformity and boomerang uniformity of three classes of permutation polynomials over	3
Weight distributions of generalized quasi-cyclic codes over F	3
Algebraic structure of additive conjucyclic codes over F	3
Hasse polynomials of L-functions of certain exponential sums	3
On incidence bounds with Möbius hyperbolae in positive characteristic	3
Splitting subspaces of linear operators over finite fields	3
Metrical properties for continued fractions of formal Laurent series	3
On the error-correcting pair for MDS linear codes with even minimum distance	3
New differentially 4-uniform permutations from modifications of the inverse function	3