How to obtain lattices from (f,σ,δ)-codes via a generalization of Construction A

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How to obtain lattices from (f,σ,δ)-codes via a generalization of Construction A

We show how cyclic (f,σ,δ)-codes over finite rings canonically induce a Z-lattice in RN by using certain quotients of orders in nonassociative division algebras defined using the skew polynomial f. This construction generalizes the one using certain σ-constacyclic codes by Ducoat and Oggier, which u...

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Bibliographic Details
Main Author:	Pumpluen, Susanne
Format:	Article
Published:	Springer 2018
Subjects:	Space-time block code linear ((f σ δ)-code; nonassociative algebra; coset coding wiretap coding; Construction A; order; skew polynomial ring
Online Access:	https://eprints.nottingham.ac.uk/46898/

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