Lifted Codes and Lattices from Codes Over Finite Chain Rings
Information Theory
2020-07-14 v1 math.IT
Number Theory
Abstract
In this paper we give the generalization of lifted codes over any finite chain ring. This has been done by using the construction of finite chain rings from -adic fields. Further we propose a lattice construction from linear codes over finite chain rings using lifted codes.
Cite
@article{arxiv.2007.05871,
title = {Lifted Codes and Lattices from Codes Over Finite Chain Rings},
author = {Reguia Lamia Bouzara and Kenza Guenda and Edgar Martínez-Moro},
journal= {arXiv preprint arXiv:2007.05871},
year = {2020}
}
Comments
Submitted to Cryptography and Communications