Description
Folded Gabidulin codes were proposed by Mahdavifar and Vardy in 2012. Beside the code construction an interpolation-based decoding scheme that can correct rank errors beyond the unique decoding radius for low code rates was presented.<br/> In this talk we present an efficient interpolation-based decoding algorithm for folded Gabidulin codes that can correct rank errors beyond half the minimum rank distance for any code rate 0 ? R ? 1. The algorithm serves as a list decoder or as a probabilistic unique decoder and improves upon existing schemes, especially for high code rates. A probabilistic unique decoder with adjustable decoding radius is presented that outputs a unique solution with high probability. An upper bound on the average list size of folded Gabidulin codes and on the decoding failure probability of the decoder is presented.<br/> We show how to modify the decoding algorithm by Mahdavifahr and Vardy to use it as a probabilistic unique decoder for low-rate codes.
Next sessions
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Adelic reduction of module lattices
Speaker : Henry Bambury - DGA-MI et Inria Rennes
We give a strict generalisation of the LLL algorithm over number fields, based on the reduction theory of $GL(n)$ over the adele ring of a number field. Our algorithm is free of heuristics, with rigorous bounds on output quality and complexity. -- based on joint work with Seungki Kim, Changmin Lee and Phong Nguyen ---
Cryptography
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European Cyber Week: atelier cryptographie post-quantique
Dans la continuité des éditions 2021, 2022 et 2024, la DGA — en partenariat avec CREACH LABS et avec le soutien de l'ANSSI, de l'IRISA, de l'IRMAR et du Pôle d'Excellence Cyber — organise la 4e édition de l'atelier consacré à la cryptographie post-quantique dans le cadre de l'European Cyber Week 2026. Attention, il faut s'inscrire (gratuitement) au préalable — s'inscrire à la conférence Les[…] -
Post-quantum day of the cryptography seminar
A scientific day devoted to post-quantum cryptography, held in the wake of the European Cyber Week, with talks more technical than those presented at the ECW.