2 papers
cs.CR2026
Critical sets of Latin squares based on autoparatopisms
Manuel González-Regadera, Raúl M. Falcón, María Dolores Frau
In cryptography, critical sets of Latin squares have particularly been implemented to design secret sharing schemes. A main problem in these cryptographic protocols arises from abs…
math.CO2026
Fundamentals of the cocyclic development of Hadamard matrices over loops
Raúl M. Falcón, Manuel González-Regadera, Félix Gudiel
This paper establishes a formal framework for the cocyclic development of Hadamard matrices over loops based on a novel cohomology theory with associativity obstructions. In this c…