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 2021-09-01 to 2025-09-01.)

Article	Citations
Editorial Board	40
Achromatic colorings of polarity graphs	24
New classes of optimal p-ary cyclic codes with minimum distance four	20
A new construction for q-ary constant weight codes	19
Singleton-optimal LRCs and perfect LRCs via cyclic and constacyclic codes	17
Counting roots of fully triangular polynomials over finite fields	17
Linear codes with few weights over finite fields	17
Construction of highly nonlinear permutations on Z	16
Constructing differentially 4-uniform involutions over F	16
Group LCD and group reversible LCD codes	16
A note on the intersection of two distinct constacyclic codes	15
On the minimum weights of binary LCD codes and ternary LCD codes	15
Editorial Board	15
Weight distribution of double cyclic codes over F<	14
Several classes of linear codes with few weights from the closed butterfly structure	13
Editorial Board	12
Paley-like graphs over finite fields from vector spaces	12
Quadratic residue patterns, algebraic curves and a K3 surface	12
The resultant method in higher dimensions	11
Constructions and decoding of GC-balanced codes for edit errors	11
A structure theorem for the restricted sum of four squares	10
Stephen D. Cohen's contributions to the finite fields community	9
New classes of permutation trinomials of F	9
Investigating the exceptionality of scattered polynomials	9
Diagonal hypersurfaces and elliptic curves over finite fields and hypergeometric functions	9

On divisors of sums of polynomials	9
Non-isomorphic maximal function fields of genus q − 1	9
Sum-rank product codes and bounds on the minimum distance	9
Oriented supersingular elliptic curves and Eichler orders of prime level	8
An infinite family of Griesmer quasi-cyclic self-orthogonal codes	8
A spherical extension theorem and applications in positive characteristic	8
On the Northcott property of zeta functions over function fields	8
Bounds in the Lee metric and optimal codes	8
Two classes of LCD BCH codes over finite fields	8
(2p + 1)-class association schemes from the generalized Maiorana-McFarland class	8
Corrigendum to “Artin's primitive root conjecture for function fields revisited” [Finite Fields Appl. 67 (2020) 101713]	8
Well-covered unitary Cayley graphs of matrix rings over finite fields and applications	8
Davenport and Hasse's theorems and lifts of multiplication matrices of Gaussian periods	7
New constructions of optimal binary LCD codes	7
Editorial Board	7
Non-trivial t-intersecting families for symplectic polar spaces	7
How to construct CSIDH on Edwards curves	7
Multi-orbit cyclic subspace codes and linear sets	7
Negative Latin square type partial difference sets in nonabelian groups of order 64	7
Function field genus theory for non-Kummer extensions	6
BRK-type sets over finite fields	6
New classes of permutation trinomials over F	6
On the number of Diophantine m-tuples in finite fields	6
Hulls of double cyclic codes	6
In Memory of Professor Zhexian Wan	6
A new identity of Dickson polynomials	6
Correlation of shifted values of L-functions in the hyperelliptic ensemble	6
A lower bound on HMOLS with equal sized holes	6
Extending two families of bivariate APN functions	6
More classes of permutation pentanomials over finite fields with characteristic two	6
Weierstrass semigroups and automorphism group of a maximal curve with the third largest genus	6
Girth of the algebraic bipartite graph D(k,q)	5
Linear codes from planar functions and related covering codes	5
A correct justification for the CHMT algorithm for solving underdetermined multivariate systems	5
A note on t-designs in isodual codes	5
The R-transform as power map and its generalizations to higher degree	5
A further study on the Ness-Helleseth function	5
On a class of permutation polynomials and their inverses	5
Several classes of permutation polynomials of the form (	5
On non-monomial APcN permutations over finite fields of even characteristic	5
Further improvements to the Chevalley-Warning theorems	5
New constructions of permutation polynomials of the form x5
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
Iterative constructions of irreducible polynomials from isogenies	5
Editorial Board	5
Small solutions of generic ternary quadratic congruences to general moduli	5
Generic Newton polygons for L-functions of (A,B)-exponential sums	5
Counting points on diagonal equations over Galois rings GR(p2,2n)	5
List decoding of maximal order codes over number fields	4

Automorphisms of the supersingular isogeny graph	4
On dual-containing, almost dual-containing matrix-product codes and related quantum codes	4
On sums and products of combinatorial cubes	4
Editorial Board	4
Editorial Board	4
Complete weight enumerators for several classes of two-weight and three-weight linear codes	4
Bound on the minimum distance of double circulant cubic residue codes	4
On codes in the projective linear group PGL(2,q)	4
On the number of zeros to the equation f(x1)+... + f(x)=a over finite fields	4
On the relative growth rate of the product of consecutive partial quotients in continued fraction expansions of Laurent series	4
Extending two families of maximum rank distance codes	4
Editorial Board	4
Permutation polynomials of the form xh(x−1) over F	4
The isomorphism problem in the context of PI-theory for two-dimensional Jordan algebras	4
On the number of irreducible factors with a given multiplicity in function fields	4
Fourth power mean of the general s-dimensional Kloosterman sum mod p	4
The radical of binary dimensional dual hyperovals	4
On LCD codes from skew symmetric Toeplitz matrices	4
Some new constructions of MDS self-dual codes over finite fields	4
Three proofs of an observation on irreducible polynomials over GF(2)	4
A formula on the weight distribution of linear codes with applications to AMDS codes	4
Improvements of the Hasse-Weil-Serre bound over global function fields	4
Coset-wise affine functions and cycle types of complete mappings	4
Editorial Board	4
Generalized almost perfect nonlinear binomials and trinomials over fields of prime-square order	4
On the Newton polygons of twisted L-functions of binomials	4
Rational points of lattice ideals on a toric variety and toric codes	4
On the graph of non-degenerate linear [n,2]2 codes	4
Multislant matrices and Jacobi–Trudi determinants over finite fields	3
Certain diagonal equations and conflict-avoiding codes of prime lengths	3
Editorial Board	3
Denniston partial difference sets exist in the odd prime case	3
The probability of spanning a classical space by two non-degenerate subspaces of complementary dimensions	3
Skew constacyclic codes of lengths p and 2p over F	3
An approach to normal polynomials through symmetrization and symmetric reduction	3
Probabilistic Galois theory in function fields	3
On primitive elements of finite fields avoiding affine hyperplanes	3
On monomial generalized almost perfect nonlinear functions	3
Spectral properties of Cayley graphs over M×(F)	3
Existence of pencils with nonblocking hypersurfaces	3
Exceptionality of (X+1)  + (X−1)	3
On CCZ-equivalence between the Bracken-Tan-Tan function and power functions	3
Permutation binomials of the form x(x−1 + a) over F	3
Primality proving using elliptic curves with complex multiplication by imaginary quadratic fields of class number three	3
Application of the Cartier operator in coding theory	3
On the boomerang uniformity of permutations of low Carlitz rank	3
On cyclic algebraic-geometry codes	3
The extended codes of some linear codes	3
Fq	3
Arithmetic progressions in certain subsets of finite fields	3
Two families of optimal ternary cyclic codes with minimal distance four	3
New constructions of optimal (r,δ)-LRCs via good polynomials	3
Degree of orthomorphism polynomials over finite fields	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
Linear families of smooth hypersurfaces over finitely generated fields	3
Transverse linear subspaces to hypersurfaces over finite fields	3
Intersecting families of polynomials over finite fields	3
Nilpotent linearized polynomials over finite fields, revisited	3
Editorial Board	3
Super-regular Steiner 2-designs	3
Representations of group actions and their applications in cryptography	3
An approach to the moments subset sum problem through systems of diagonal equations over finite fields	3
An algebraic attack to the Bluetooth stream cipher E0	3
AG codes on flag bundles over a curve	3
On r-primitive k-normal elements with prescribed norm and trace over finite fields	3
On matrix algebras isomorphic to finite fields and planar Dembowski-Ostrom monomials	3
The Gross-Koblitz formula and almost circulant matrices related to Jacobi sums	3
On the sumsets of units and exceptional units in residue class rings	3
On cohomology of generalized Suzuki curves and exponential sums	3
The cross-correlation values of a class of sequences with different lengths	3
Two classes of twisted generalized Reed-Solomon codes with two twists	3
Cyclotomic matrices and hypergeometric functions over finite fields	3