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arXiv · 2312.00394

On the Coding Capacity of Reverse-Complement and Palindromic Duplication-Correcting Codes

Lev Yohananov·Moshe Schwartz
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Abstract

We derive the coding capacity for duplication-correcting codes capable of correcting any number of duplications. We do so both for reverse-complement duplications, as well as palindromic (reverse) duplications. We show that except for duplication-length $1$, the coding capacity is $0$. When the duplication length is $1$, the coding capacity depends on the alphabet size, and we construct optimal codes.

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Lev Yohananov, Moshe Schwartz. 2023-12-01. On the Coding Capacity of Reverse-Complement and Palindromic Duplication-Correcting Codes. https://arxiv.org/abs/2312.00394

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