3 papers
math.CO2025
An algebraic approach to Latin squares of prime power order by local permutation polynomials
Raúl M. Falcón, Jaime Gutiérrez, Jorge Jiménez Urroz
Every Latin square of prime power order is uniquely described by a local permutation polynomial (LPP) in the polynomial ring . Despite this equivalence, one…
math.CO2024
Heffter arrays over partial loops
Raúl M. Falcón, Lorenzo Mella
A Heffter array over an additive group is any partially filled array satisfying that: (1) each one of its rows and columns sum to zero in , and (2) if $i\in G\setminus\{…
math.CO2024
The Hadamard multiary quasigroup product
Raúl M. Falcón, L. Mella, P. VojtÄchovský
The Hadamard quasigroup product has recently been introduced as a natural generalization of the classical Hadamard product of matrices. It is defined as the superposition operator…