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 $q$ is uniquely described by a local permutation polynomial (LPP) in the polynomial ring ${\mathbb{F}}_q[x,y]$. Despite this equivalence, one…