On the Coding Capacity of Reverse-Complement and Palindromic Duplication-Correcting Codes
December 01, 2023 Β· Declared Dead Β· π Designs, Codes and Cryptography
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Authors
Lev Yohananov, Moshe Schwartz
arXiv ID
2312.00394
Category
cs.IT: Information Theory
Citations
3
Venue
Designs, Codes and Cryptography
Last Checked
4 months ago
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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