arXiv Open Access 2023

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

Lev Yohananov Moshe Schwartz
Lihat Sumber

Abstrak

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.

Topik & Kata Kunci

Penulis (2)

L

Lev Yohananov

M

Moshe Schwartz

Format Sitasi

Yohananov, L., Schwartz, M. (2023). On the Coding Capacity of Reverse-Complement and Palindromic Duplication-Correcting Codes. https://arxiv.org/abs/2312.00394

Akses Cepat

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2023
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en
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arXiv
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Open Access ✓