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- Title
Duality preserving Gray maps for codes over rings.
- Authors
Szabo, Steve; Ulmer, Felix
- Abstract
Given a finite ring which is a free left module over a subring of , two types of -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 to codes over . 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.
- Subjects
DUALITY (Logic); CODING theory; MATHEMATICAL symmetry; RING theory; GENERALIZATION; MATHEMATICAL mappings
- Publication
Journal of Algebra & Its Applications, 2017, Vol 16, Issue 9, p-1
- ISSN
0219-4988
- Publication type
Article
- DOI
10.1142/S0219498817501614