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 2022-05-01 to 2026-05-01.)

Article	Citations
Achromatic colorings of polarity graphs	28
Editorial Board	22
Construction of highly nonlinear permutations on Z	21
A new construction for q-ary constant weight codes	20
Counting roots of fully triangular polynomials over finite fields	20
Linear codes with few weights over finite fields	17
Simple matrix cryptosystem is not broken by Liu's attack	14
New classes of optimal p-ary cyclic codes with minimum distance four	14
Group LCD and group reversible LCD codes	13
On divisors of sums of polynomials	12
Weight distribution of double cyclic codes over F<	12
The resultant method in higher dimensions	12
Brocard-Ramanujan problem for polynomials over finite fields	12
Editorial Board	12
Singleton-optimal LRCs and perfect LRCs via cyclic and constacyclic codes	12
A structure theorem for the restricted sum of four squares	11
A note on the intersection of two distinct constacyclic codes	11
Paley-like graphs over finite fields from vector spaces	11
Trace duality and additive complementary pairs of additive cyclic codes over finite chain rings	11
Editorial Board	11
Decoding up to Hartmann–Tzeng and Roos bounds for rank codes	11
Quadratic residue patterns, algebraic curves and a K3 surface	10
Corrigendum to “Higher Grassmann codes II” [Finite Fields Appl. 89 (2023) 102211]	10
New classes of permutation trinomials of F	10
Constructions and decoding of GC-balanced codes for edit errors	9

Editorial Board	8
Stephen D. Cohen's contributions to the finite fields community	8
Linear l-intersection pairs of matrix-product codes and their applications	8
Oriented supersingular elliptic curves and Eichler orders of prime level	8
Normal and primitive normal elements with prescribed traces in intermediate extensions of finite fields	8
Bounds on the size of (r,δ)-locally repairable codes for fixed values q and d	8
Non-isomorphic maximal function fields of genus q − 1	8
Sum-rank product codes and bounds on the minimum distance	8
Two classes of LCD BCH codes over finite fields	7
On quadratic character sums over quartics	7
Negative Latin square type partial difference sets in nonabelian groups of order 64	7
A spherical extension theorem and applications in positive characteristic	7
(2p + 1)-class association schemes from the generalized Maiorana-McFarland class	7
How to construct CSIDH on Edwards curves	7
Well-covered unitary Cayley graphs of matrix rings over finite fields and applications	7
Counting irreducible polynomials with restricted coefficients	7
Diagonal hypersurfaces and elliptic curves over finite fields and hypergeometric functions	7
Bounds in the Lee metric and optimal codes	7
BRK-type sets over finite fields	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
Editorial Board	6
Extending two families of bivariate APN functions	6
Multi-orbit cyclic subspace codes and linear sets	6
In Memory of Professor Zhexian Wan	6
Davenport and Hasse's theorems and lifts of multiplication matrices of Gaussian periods	6
Hulls of double cyclic codes	6
The Erdős-Rado sunflower problem for vector spaces	6
New constructions of optimal binary LCD codes	6
A new identity of Dickson polynomials	6
New classes of permutation trinomials over F	6
On the number of Diophantine m-tuples in finite fields	6
On the Northcott property of zeta functions over function fields	6
Linear codes from planar functions and related covering codes	5
Iterative constructions of irreducible polynomials from isogenies	5
Girth of the algebraic bipartite graph D(k,q)	5
The R-transform as power map and its generalizations to higher degree	5
Counting points on diagonal equations over Galois rings GR(p2,2n)	5
Upper bounds for L-functions in positive characteristic	5
New constructions of permutation polynomials of the form x5
A correct justification for the CHMT algorithm for solving underdetermined multivariate systems	5
Function field genus theory for non-Kummer extensions	5
On non-monomial APcN permutations over finite fields of even characteristic	5
A note on t-designs in isodual codes	5
On the Newton polygons of twisted L-functions of binomials	5
Further improvements to the Chevalley-Warning theorems	5
Small solutions of generic ternary quadratic congruences to general moduli	5
Products of involutions in symplectic groups over general fields (II): Finite fields	5
On a class of permutation polynomials and their inverses	5
Linear codes arising from the point-hyperplane geometry-Part I: The Segre embedding	5

Energy bounds, bilinear forms and their applications in function fields	5
A further study on the Ness-Helleseth function	5
On certain F	5
Transverse-freeness in finite geometries	5
Construction of Galois self-orthogonal MDS codes with larger dimensions	5
A family of optimal dual-containing and reversible linear codes over	4
Extending two families of maximum rank distance codes	4
Construction of (n,n)-functions with low differential-linear uniformity	4
Kneser's theorem for codes and ℓ-divisible set families	4
An unusual family of supersingular curves of genus five in characteristic two	4
List decoding of maximal order codes over number fields	4
Improvements of the Hasse-Weil-Serre bound over global function fields	4
Rational points of lattice ideals on a toric variety and toric codes	4
On LCD codes from skew symmetric Toeplitz matrices	4
On the number of irreducible factors with a given multiplicity in function fields	4
Permutation polynomials of the form xh(x−1) over F	4
Coset-wise affine functions and cycle types of complete mappings	4
On two conjectures of the duals of AMDS BCH codes	4
Existence of pencils with nonblocking hypersurfaces	4
Editorial Board	4
Editorial Board	4
Editorial Board	4
On the study of semi-involutory and semi-orthogonal matrices	4
Fourth power mean of the general s-dimensional Kloosterman sum mod p	4
The cross-correlation values of a class of sequences with different lengths	4
On dual-containing, almost dual-containing matrix-product codes and related quantum codes	4
The isomorphism problem in the context of PI-theory for two-dimensional Jordan algebras	4
On cohomology of generalized Suzuki curves and exponential sums	4
Goppa codes over the p-adic integers and integers modulo p	4
Automorphisms of the supersingular isogeny graph	4
Bound on the minimum distance of double circulant cubic residue codes	4
Editorial Board	4
Two families of self-orthogonal codes with applications in LCD codes and optimally extendable codes	4
Generator polynomial matrices of the Galois hulls of multi-twisted codes	4
(σ,τ)-derivations of group rings with applications	3
Nilpotent linearized polynomials over finite fields, revisited	3
Editorial Board	3
Probabilistic Galois theory in function fields	3
Partial difference sets from unions of cyclotomic classes	3
Two classes of twisted generalized Reed-Solomon codes with two twists	3
Arithmetic progressions in certain subsets of finite fields	3
Super-regular Steiner 2-designs	3
Transverse linear subspaces to hypersurfaces over finite fields	3
An approach to the moments subset sum problem through systems of diagonal equations over finite fields	3
Representations of group actions and their applications in cryptography	3
Fq	3
The third generalized covering radius for binary primitive double-error-correcting BCH codes	3
Generalized almost perfect nonlinear binomials and trinomials over fields of prime-square order	3
The probability of spanning a classical space by two non-degenerate subspaces of complementary dimensions	3
Exceptionality of (X+1)  + (X−1)	3
Intersecting families of polynomials over finite fields	3
Skew constacyclic codes of lengths p and 2p over F	3
Primality proving using elliptic curves with complex multiplication by imaginary quadratic fields of class number three	3
On the graph of non-degenerate linear [n,2]2 codes	3
The extended codes of some linear codes	3
Cyclotomic matrices and hypergeometric functions over finite fields	3
Linear families of smooth hypersurfaces over finitely generated fields	3
On CCZ-equivalence between the Bracken-Tan-Tan function and power functions	3
Denniston partial difference sets exist in the odd prime case	3
New constructions of optimal (r,δ)-LRCs via good polynomials	3
The Gross-Koblitz formula and almost circulant matrices related to Jacobi sums	3
Three proofs of an observation on irreducible polynomials over GF(2)	3
A new family of maximum linear symmetric rank-distance codes	3
On matrix algebras isomorphic to finite fields and planar Dembowski-Ostrom monomials	3
Almost Steiner systems in finite classical polar spaces	3
Editorial Board	3
On the sumsets of units and exceptional units in residue class rings	3
AG codes on flag bundles over a curve	3
An algebraic attack to the Bluetooth stream cipher E0	3
On the boomerang uniformity of permutations of low Carlitz rank	3
On monomial generalized almost perfect nonlinear functions	3
On r-primitive k-normal elements with prescribed norm and trace over finite fields	3
Investigations of c-differential uniformity of permutations with Carlitz rank 3	3
An approach to normal polynomials through symmetrization and symmetric reduction	3
Cardinality-consistent flag codes with larger cardinality	3
The radical of binary dimensional dual hyperovals	3
Spectral properties of Cayley graphs over M×(F)	3