Lifted Codes and Lattices from Codes Over Finite Chain Rings

07/11/2020

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by   Reguia Lamia Bouzara, et al.

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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 p-adic fields. Further we propose a lattice construction from linear codes over finite chain rings using lifted codes.