2 papers
cs.CR2024
Fast Multiplication and the PLWE-RLWE Equivalence for an Infinite Family of Maximal Real Subfields of Cyclotomic Fields
Joonas Ahola, Iván Blanco-Chacón, Wilmar Bolaños +3
We prove the equivalence between the Ring Learning With Errors (RLWE) and the Polynomial Learning With Errors (PLWE) problems for the maximal totally real subfield of the …
cs.IT2024
MacWilliams duality for rank metric codes over finite chain rings
Iván Blanco-Chacón, Alberto F. Boix, Marcus Greferath +1
We extend Ravagnani's MacWilliams duality theory to the settings of rank metric codes over finite chain rings, relating the sequences of -binomial moments of a rank metric code…