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Probabilistic Analysis of LLL-based Decoder of Interleaved Chinese Remainder Codes
Acte de colloque   Open Access

Probabilistic Analysis of LLL-based Decoder of Interleaved Chinese Remainder Codes

Matteo Abbondati, Antoine Afflatet, Eleonora Guerrini et Romain Lebreton
ITW 2023 - IEEE Information Theory Workshop (Saint Malo, France, 23/04/2023–28/04/2023)

Résumé

To date, Li et al. have presented the only decoder for Interleaved Chinese Remainder (ICR) codes [1]. The core of their ICR decoder is to find a short vector in a lattice using the LLL algorithm [2]. However, their analysis of the decoding failure is partially heuristic. In this work, we present a new analysis of their LLL-based decoder that gives a proved upper bound on its decoding failure probability.

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