Lifted Codes and Lattices from Codes Over Finite Chain Rings

July 11, 2020 Β· Declared Dead Β· πŸ› Cryptography and Communications

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Authors Reguia Lamia Bouzara, Kenza Guenda, Edgar MartΓ­nez-Moro arXiv ID 2007.05871 Category cs.IT: Information Theory Cross-listed math.NT Citations 2 Venue Cryptography and Communications Last Checked 4 months ago
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 $p$-adic fields. Further we propose a lattice construction from linear codes over finite chain rings using lifted codes.
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