Asymmetric Lee distance codes for DNA-based storage

Ryan Gabrys, Han Mao Kiah, Olgica Milenkovic

Research output: Chapter in Book/Report/Conference proceedingConference contribution


We consider a new family of asymmetric Lee codes that arise in the design and implementation of DNA-based storage systems and systems with parallel string transmission protocols. The codewords are defined over a quaternary alphabet, although the results carry over to other alphabet sizes, and have symbol distances dictated by their underlying binary representation. Our contributions are two-fold. First, we derive upper bounds on the size of the codes under the asymmetric Lee distance measure based on linear programming techniques. Second, we propose code constructions which imply lower bounds.

Original languageEnglish (US)
Title of host publicationProceedings - 2015 IEEE International Symposium on Information Theory, ISIT 2015
PublisherInstitute of Electrical and Electronics Engineers Inc.
Number of pages5
ISBN (Electronic)9781467377041
StatePublished - Sep 28 2015
EventIEEE International Symposium on Information Theory, ISIT 2015 - Hong Kong, Hong Kong
Duration: Jun 14 2015Jun 19 2015

Publication series

NameIEEE International Symposium on Information Theory - Proceedings
ISSN (Print)2157-8095


OtherIEEE International Symposium on Information Theory, ISIT 2015
CountryHong Kong
CityHong Kong


  • Coding for DNA-based storage
  • Coding theory

ASJC Scopus subject areas

  • Theoretical Computer Science
  • Information Systems
  • Modeling and Simulation
  • Applied Mathematics

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