Construction of single-deletion-correcting DNA codes using CIS codes

We find a method for constructing DNA codes with single-deletion-correcting capability. We first present an explicit algorithm for the construction of the q -ary single-deletion-correcting codes (abbreviated as SDC codes ) using a class of the complementary information set codes (abbreviated as CIS...

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Bibliographic Details
Published inDesigns, codes, and cryptography Vol. 88; no. 12; pp. 2581 - 2596
Main Authors Choi, Whan-Hyuk, Kim, Hyun Jin, Lee, Yoonjin
Format Journal Article
LanguageEnglish
Published New York Springer US 01.12.2020
Springer Nature B.V
Subjects
Algorithms
Coding and Information Theory
Computer Science
Cryptology
Deletion
Deoxyribonucleic acid
Discrete Mathematics in Computer Science
DNA
Encoding-Decoding
Lower bounds
Secondary: 11T71
DNA code
Primary: 94B05
Synchronization-correcting code
Deletion
Insertion
CIS code
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Summary:We find a method for constructing DNA codes with single-deletion-correcting capability. We first present an explicit algorithm for the construction of the q -ary single-deletion-correcting codes (abbreviated as SDC codes ) using a class of the complementary information set codes (abbreviated as CIS codes ), where q is a power of a prime. We then show that the encoding/decoding scheme of the CIS codes with single-deletion-correcting capability has a simple deterministic algorithm. Finally, applying our algorithm to the generated DNA codes with appropriate modification, we obtain the DNA codes with single-deletion-correcting capability. We present some various examples of such DNA codes, and we also obtain some lower bounds on the maximum size of the single-deletion-correcting DNA codes.
ISSN:0925-1022
1573-7586
DOI:10.1007/s10623-020-00802-2