2 papers
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…
math.RA2019
Some remarks on non projective Frobenius algebras and linear codes
José Gómez-Torrecillas, Erik Hieta-aho, F. J. Lobillo +2
With a small suitable modification, dropping the projectivity condition, we extend the notion of a Frobenius algebra to grant that a Frobenius algebra over a Frobenius commutative…