On Duplication-Free Codes for Disjoint or Equal-Length Errors

Author:

Yu Wenjun1,Schwartz Moshe1

Affiliation:

1. Ben-Gurion University of the Negev

Abstract

Abstract Motivated by applications in DNA storage, we study a setting in which strings are affected by tandem-duplication errors. In particular, we look at two settings: disjoint tandem-duplication errors, and equal-length tandem-duplication errors. We construct codes, with positive asymptotic rate, for the two settings, as well as for their combination. Our constructions are duplication-free codes, comprising codewords that do not contain tandem duplications of specific lengths. Additionally, our codes generalize previous constructions, containing them as special cases. MSC Classification: 68R15 , 94B25 , 94B35

Publisher

Research Square Platform LLC

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