4 papers
New advances in permutation decoding of first-order Reed-Muller codes
José Joaquín Bernal, Juan Jacobo Simón
In this paper we describe a variation of the classical permutation decoding algorithm that can be applied to any affine-invariant code with respect to certain type of information s…
Decoding up to 4 errors in Hyperbolic-like Abelian Codes by the Sakata Algorithm
José Joaquín Bernal, Juan Jacobo Simón
We deal with two problems related with the use of the Sakata's algorithm in a specific class of bivariate codes. The first one is to improve the general framework of locator decodi…
Globalization of group cohomology in the sense of Alvares-Alves-Redondo
Mikhailo Dokuchaev, Mykola Khrypchenko, Juan Jacobo Simón
Recently E. R. Alvares, M. M. Alves and M. J. Redondo introduced a cohomology for a group with values in a module over the partial group algebra , which is…
Globalization of partial cohomology of groups
Mikhailo Dokuchaev, Mykola Khrypchenko, Juan Jacobo Simón
We study the relations between partial and global group cohomology with values in a commutative unital ring . In particular, for a unital partial action of a group …