On the Hardness of the Lee Syndrome Decoding Problem

Autor:	Weger, Violetta, Khathuria, Karan, Horlemann, Anna-Lena, Battaglioni, Massimo, Santini, Paolo, Persichetti, Edoardo
Rok vydání:	2020
Předmět:	Computer Science - Information Theory Computer Science - Cryptography and Security
Druh dokumentu:	Working Paper
Popis:	In this paper we study the hardness of the syndrome decoding problem over finite rings endowed with the Lee metric. We first prove that the decisional version of the problem is NP-complete, by a reduction from the $3$-dimensional matching problem. Then, we study the complexity of solving the problem, by translating the best known solvers in the Hamming metric over finite fields to the Lee metric over finite rings, as well as proposing some novel solutions. For the analyzed algorithms, we assess the computational complexity in the asymptotic regime and compare it to the corresponding algorithms in the Hamming metric. Comment: Part of this work appeared as preliminary results in arXiv:2001.08425
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2002.12785 Zobrazit plný text záznamu View this record from Arxiv