A Database of $\mathbb{Z}_4$ Codes
Nuh Aydin, Tsvetan Asamov
TL;DR
This paper introduces a comprehensive database of quaternary codes over , along with a novel genetic code search algorithm, to facilitate research and discovery of new codes.
Contribution
It provides the first extensive database of -codes and proposes a new genetic algorithm for searching optimal codes.
Findings
New quaternary codes discovered using GCS
Database of best known -codes created
GCS outperforms previous search methods
Abstract
There has been much research on codes over , sometimes called quaternary codes, for over a decade. Yet, no database is available for best known quaternary codes. This work introduces a new database for quaternary codes. It also presents a new search algorithm called genetic code search (GCS), as well as new quaternary codes obtained by existing and new search methods.
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Taxonomy
TopicsCoding theory and cryptography · Error Correcting Code Techniques · DNA and Biological Computing