On the combinatorics of circular codes
Aleksandr Serdiukov, Andrei Smolensky
TL;DR
This paper explores the combinatorial structure of 216 maximal C^3 circular codes, revealing new insights that facilitate their construction and potentially relate to genetic sequence stability.
Contribution
It introduces a simplified method to construct all maximal C^3 circular codes and analyzes their internal combinatorial structure.
Findings
New observations on the internal structure of circular codes
A simplified construction method for all maximal C^3 circular codes
Insights into the connection between circularity and genetic stability
Abstract
The present paper is devoted to the study of the combinatorics of 216 maximal circular codes --- a particular type of structure arising in the analysis of genomic sequences. Their circularity property is believed to be intimately connected to the protection against the reading frame shift in the process of RNA translation. We present some new observations concerning the internal structure of circular codes, which give a way to construct all of them in a relatively simple manner.
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Taxonomy
TopicsRNA and protein synthesis mechanisms · RNA Research and Splicing · Advanced biosensing and bioanalysis techniques