Papers

(1) Hadamard matrices. (2) Combinatorial Designs. (3) Codes. (4) Latin Squares. (5) Cryptography. (6) Optimization. (7) Graph Theory.

2023

Falcón RM, Álvarez V, Armario JA, Frau MD, Gudiel F and Güemes B (2023). A computational approach to analyze the Hadamard quasigroup product. Electronic Research Archive, 31 (6), 3245-3263. (1)

Armario JA, Egan R, Flannery DL (2023). Generalized partially bent functions, generalized perfect arrays, and cocyclic Butson matrices. Cryptography and Communications. 10.1007/s12095-023-00657-z

Armario JA, Bailera I, Egan R (2023). Butson full propelinear codes. Designs, Codes, and Cryptography, 91(2), pp. 333–351 (3)

2022

Armario JA, Flannery DL (2022). Quasi-orthogonal cocycles, optimal sequences and a conjecture of Littlewood. Journal of Algebraic Combinatorics, 55(1), pp. 15–25

2021

Álvarez V, Armario JA, Frau MD, Gudiel F, Güemes B and Osuna A (2021). Hadamard matrices with cocylic core. Mathematics 9(8), 857. (1)

Armario JA (2021). Boolean functions and permanents of Sylvester Hadamard matrices. Mathematics, 9(2), pp. 1–8, 177

Armario JA, Bailera I, Egan R (2021). Generalized Hadamard full propelinear codes. Designs, Codes and Cryptography 89, 599–615. (3)

Falcón RM (2021). Recognition and analysis of image patterns based on Latin squares by means of Computational Algebraic Geometry. Mathematics 9(6), 666. (4)

Falcón RM, Johnson L, Perkins S (2021). A census of critical sets based on non-trivial autotopisms of Latin squares of order up to five. AIMS Mathematics 6(1), 261–295. (4)

Falcón RM, Venkatachalam M, Gowri S, Nandini G (2021). On the r-dynamic coloring of some fan graph families. Analele Stiintifice ale Universitatii Ovidius Constanta, Seria Matematica 29(3), 151–181. (7)

Falcón RM, Venkatachalam M, Gowri S, Nandini G (2021). On the r-dynamic coloring of the direct product of a path and a k-subdivision of a star graph. Discrete Mathematics, Algorithms and Applications. Online ready. DOI: 10.1142/S1793830921501214. (7)

Falcón RM, Álvarez V, Frau MD, Gudiel F, Güemes MB (2021). Pseudococyclic partial Hadamard matrices over Latin rectangles. Mathematics 9(2) (2021), 113, 20 pp. (1,4)

2020

Álvarez V, Armario JA, Falcón RM et al. (2020). On cocyclic Hadamard matrices over Goethals-Seidel loops. Mathematics 8, 24, 22 pp. (1)

Armario JA, Flannery F (2020). Almost supplementary difference sets and quaternary sequences with optimal autocorrelation. Cryptography and Communications 12, 757–768