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 2021-06-01 to 2025-06-01.)

Article	Citations
Editorial Board	39
Achromatic colorings of polarity graphs	29
New classes of optimal p-ary cyclic codes with minimum distance four	23
A new construction for q-ary constant weight codes	17
Singleton-optimal LRCs and perfect LRCs via cyclic and constacyclic codes	16
Constructing differentially 4-uniform involutions over F	16
Counting roots of fully triangular polynomials over finite fields	16
Linear codes with few weights over finite fields	16
Construction of highly nonlinear permutations on Z	15
On the minimum weights of binary LCD codes and ternary LCD codes	15
Group LCD and group reversible LCD codes	15
A note on the intersection of two distinct constacyclic codes	14
Weight distribution of double cyclic codes over F<	13
Editorial Board	13
Several classes of linear codes with few weights from the closed butterfly structure	12
New classes of permutation trinomials of F	12
The resultant method in higher dimensions	11
Editorial Board	11
Constructions and decoding of GC-balanced codes for edit errors	11
Sum-rank product codes and bounds on the minimum distance	11
Paley-like graphs over finite fields from vector spaces	11
A structure theorem for the restricted sum of four squares	10
Quadratic residue patterns, algebraic curves and a K3 surface	9
On divisors of sums of polynomials	9
Diagonal hypersurfaces and elliptic curves over finite fields and hypergeometric functions	9

New constructions of optimal binary LCD codes	8
Multi-orbit cyclic subspace codes and linear sets	8
Negative Latin square type partial difference sets in nonabelian groups of order 64	8
Oriented supersingular elliptic curves and Eichler orders of prime level	8
A spherical extension theorem and applications in positive characteristic	8
(2p + 1)-class association schemes from the generalized Maiorana-McFarland class	8
How to construct CSIDH on Edwards curves	8
On the Northcott property of zeta functions over function fields	8
Corrigendum to “Artin's primitive root conjecture for function fields revisited” [Finite Fields Appl. 67 (2020) 101713]	8
An infinite family of Griesmer quasi-cyclic self-orthogonal codes	8
Investigating the exceptionality of scattered polynomials	8
Well-covered unitary Cayley graphs of matrix rings over finite fields and applications	8
Bounds in the Lee metric and optimal codes	8
Editorial Board	7
Davenport and Hasse's theorems and lifts of multiplication matrices of Gaussian periods	7
A lower bound on HMOLS with equal sized holes	7
Non-trivial t-intersecting families for symplectic polar spaces	7
Two classes of LCD BCH codes over finite fields	7
Cyclic Sieving for cyclic codes	7
Extending two families of bivariate APN functions	7
Weierstrass semigroups and automorphism group of a maximal curve with the third largest genus	6
A new identity of Dickson polynomials	6
Correlation of shifted values of L-functions in the hyperelliptic ensemble	6
On the number of Diophantine m-tuples in finite fields	6
In Memory of Professor Zhexian Wan	6
Certain character sums, Gaussian hypergeometric series, and their connections to algebraic curves	6
Hulls of double cyclic codes	6
New classes of permutation trinomials over F	6
More classes of permutation pentanomials over finite fields with characteristic two	6
Function field genus theory for non-Kummer extensions	6
Several classes of permutation polynomials of the form (	5
The R-transform as power map and its generalizations to higher degree	5
Linear codes from planar functions and related covering codes	5
Iterative constructions of irreducible polynomials from isogenies	5
On non-monomial APcN permutations over finite fields of even characteristic	5
New constructions of permutation polynomials of the form x5
Small solutions of generic ternary quadratic congruences to general moduli	5
Girth of the algebraic bipartite graph D(k,q)	5
Existence of primitive 2-normal elements in finite fields	5
Counting points on diagonal equations over Galois rings GR(p2,2n)	5
On pencils of cubics on the projective line over finite fields of characteristic >3	5
Energy bounds, bilinear forms and their applications in function fields	5
On a class of permutation polynomials and their inverses	5
Editorial Board	5
A correct justification for the CHMT algorithm for solving underdetermined multivariate systems	5
Generic Newton polygons for L-functions of (A,B)-exponential sums	4
On LCD codes from skew symmetric Toeplitz matrices	4
Editorial Board	4
The isomorphism problem in the context of PI-theory for two-dimensional Jordan algebras	4
A formula on the weight distribution of linear codes with applications to AMDS codes	4

Permutation polynomials of the form xh(x−1) over F	4
Multiplicative orders of Gauss periods and the arithmetic of real quadratic fields	4
On codes in the projective linear group PGL(2,q)	4
A further study on the Ness-Helleseth function	4
A note on t-designs in isodual codes	4
Editorial Board	4
Automorphisms of the supersingular isogeny graph	4
On dual-containing, almost dual-containing matrix-product codes and related quantum codes	4
On the number of zeros to the equation f(x1)+... + f(x)=a over finite fields	4
Some new constructions of MDS self-dual codes over finite fields	4
Improvements of the Hasse-Weil-Serre bound over global function fields	4
Complete weight enumerators for several classes of two-weight and three-weight linear codes	4
Rational points of lattice ideals on a toric variety and toric codes	4
On trinomials of type X+(1 + AX(−1) + BX(−1)), n, m odd, over F	4
Extending two families of maximum rank distance codes	4
Coset-wise affine functions and cycle types of complete mappings	4
List decoding of maximal order codes over number fields	4
On sums and products of combinatorial cubes	4
On the Newton polygons of twisted L-functions of binomials	4
On the distribution of multivariate Jacobi sums	4
Fourth power mean of the general s-dimensional Kloosterman sum mod p	4
Further improvements to the Chevalley-Warning theorems	4
On the graph of non-degenerate linear [n,2]2 codes	3
On monomial generalized almost perfect nonlinear functions	3
Spectral properties of Cayley graphs over M×(F)	3
On the sumsets of units and exceptional units in residue class rings	3
Degree of orthomorphism polynomials over finite fields	3
On CCZ-equivalence between the Bracken-Tan-Tan function and power functions	3
On r-primitive k-normal elements with prescribed norm and trace over finite fields	3
An approach to the moments subset sum problem through systems of diagonal equations over finite fields	3
Three proofs of an observation on irreducible polynomials over GF(2)	3
Exceptionality of (X+1)  + (X−1)	3
On the number of irreducible factors with a given multiplicity in function fields	3
List decoding of convolutional codes over integer residue rings	3
Relation between o-equivalence and EA-equivalence for Niho bent functions	3
On the relative growth rate of the product of consecutive partial quotients in continued fraction expansions of Laurent series	3
Two families of optimal ternary cyclic codes with minimal distance four	3
The extended codes of some linear codes	3
Editorial Board	3
The radical of binary dimensional dual hyperovals	3
Cyclotomic matrices and hypergeometric functions over finite fields	3
The Gross-Koblitz formula and almost circulant matrices related to Jacobi sums	3
Probabilistic Galois theory in function fields	3
Linear families of smooth hypersurfaces over finitely generated fields	3
Arithmetic progressions in certain subsets of finite fields	3
An approach to normal polynomials through symmetrization and symmetric reduction	3
On the boomerang uniformity of permutations of low Carlitz rank	3
The cross-correlation values of a class of sequences with different lengths	3
An algebraic attack to the Bluetooth stream cipher E0	3
Existence of pencils with nonblocking hypersurfaces	3
Skew constacyclic codes of lengths p and 2p over F	3
On cohomology of generalized Suzuki curves and exponential sums	3
Fq	3
AG codes on flag bundles over a curve	3
Application of the Cartier operator in coding theory	3
Centralized variant of the Li criterion on functions fields	3
Super-regular Steiner 2-designs	3
On matrix algebras isomorphic to finite fields and planar Dembowski-Ostrom monomials	3
Analysis of generalized continued fraction algorithms over polynomials	3
Transverse linear subspaces to hypersurfaces over finite fields	3
On primitive elements of finite fields avoiding affine hyperplanes	3
New constructions of optimal (r,δ)-LRCs via good polynomials	3
Editorial Board	3
The probability of spanning a classical space by two non-degenerate subspaces of complementary dimensions	3
Denniston partial difference sets exist in the odd prime case	3
Representations of group actions and their applications in cryptography	3
Generalized almost perfect nonlinear binomials and trinomials over fields of prime-square order	3
Investigations of c-differential uniformity of permutations with Carlitz rank 3	3
Editorial Board	3
Goppa codes over the p-adic integers and integers modulo p	3
Two classes of twisted generalized Reed-Solomon codes with two twists	3
Editorial Board	3