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cs.IT2017
Attaining Capacity with Algebraic Geometry Codes through the Construction and Koetter-Vardy Soft Decoding
Irene Marquez-Corbella, Jean-Pierre Tillich
In this paper we show how to attain the capacity of discrete symmetric channels with polynomial time decoding complexity by considering iterated constructions with Reed-S…
cs.IT2012
On the Composition of Secret Sharing Schemes Related to Codes
Irene Márquez-Corbella, Edgar Martínez-Moro, Emilio Suárez-Canedo
In this paper we construct a subclass of the composite access structure introduced by Martínez et al. based on schemes realizing the structure given by the set of codewords of mini…
cs.IT2012
On the ideal associated to a linear code
Irene Márquez-Corbella, Edgar Martínez-Moro, Emilio Suárez-Canedo
This article aims to explore the bridge between the algebraic structure of a linear code and the complete decoding process. To this end, we associate a specific binomial ideal $I_+…