1 citations · 1 across the 3 of their papers we have counts for
4 papers
On decoding hyperbolic codes
Eduardo Camps-Moreno, Ignacio García-Marco, Hiram H. López +3
This work studies several decoding algorithms for hyperbolic codes. We use some previous ideas to describe how to decode a hyperbolic code using the largest Reed-Muller code contai…
Free Resolutions and Generalized Hamming Weights of binary linear codes
Ignacio García-Marco, Irene Márquez-Corbella, Edgar Martínez-Moro +1
In this work, we explore the relationship between free resolution of some monomial ideals and Generalized Hamming Weights (GHWs) of binary codes. More precisely, we look for a stru…
Factorizations of the same length in abelian monoids
Evelia R. García Barroso, Ignacio García-Marco, Irene Márquez-Corbella
Let be a finitely generated and reduced monoid. In this paper we develop a general strategy to study the set of elements in …
Cryptanalysis of public-key cryptosystems that use subcodes of algebraic geometry codes
Alain Couvreur, Irene Márquez-Corbella, Ruud Pellikaan
We give a polynomial time attack on the McEliece public key cryptosystem based on subcodes of algebraic geometry (AG) codes. The proposed attack reposes on the distinguishability o…