7 citations · 8 across the 4 of their papers we have counts for
4 papers
Using Reed-Solomon codes in the construction and an application to cryptography
Irene Márquez-Corbella, Jean-Pierre Tillich
In this paper we present a modification of Reed-Solomon codes that beats the Guruwami-Sudan decoding radius of Reed-Solomon codes at low rates . The idea is to choo…
Cryptanalysis of McEliece Cryptosystem Based on Algebraic Geometry Codes and their subcodes
Alain Couvreur, Irene Márquez-Corbella, Ruud Pellikaan
We give polynomial time attacks on the McEliece public key cryptosystem based either on algebraic geometry (AG) codes or on small codimensional subcodes of AG codes. These attacks…
Computing coset leaders and leader codewords of binary codes
M. Borges-Quintana, M. A. Borges-Trenard, I. Márquez-Corbella +1
In this paper we use the Gröbner representation of a binary linear code to give efficient algorithms for computing the whole set of coset leaders, denoted by $\mathrm{…
An Algebraic View to Gradient Descent Decoding
M. Borges Quintana, M. A. Borges Trenard, I. Marquez-Corbella +1
There are two gradient descent decoding procedures for binary codes proposed independently by Liebler and by Ashikhmin and Barg. Liebler in his paper mentions that both algorithms…