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- W4300486925 abstract "Given a finite ring $A$ which is a free left module over a subring $R$ of $A$, two types of $R$-bases, pseudo-self-dual bases (similar to trace orthogonal bases) and symmetric bases, are defined which in turn are used to define duality preserving maps from codes over $A$ to codes over $R$. Both types of bases are generalizations of similar concepts for fields. Many illustrative examples are given to shed light on the advantages to such mappings as well as their abundance." @default.
- W4300486925 created "2022-10-03" @default.
- W4300486925 creator A5001204810 @default.
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- W4300486925 date "2015-05-27" @default.
- W4300486925 modified "2023-09-23" @default.
- W4300486925 title "Duality Preserving Gray Maps for Codes over Rings" @default.
- W4300486925 doi "https://doi.org/10.48550/arxiv.1505.07493" @default.
- W4300486925 hasPublicationYear "2015" @default.
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