Geometric Orthogonal Codes of Size Larger Than Optical Orthogonal Codes

Yeow Meng Chee, Han Mao Kiah, San Ling, Hengjia Wei

Research output: Contribution to journalArticlepeer-review

4 Scopus citations

Abstract

The class of geometric orthogonal codes (GOCs) was introduced by Doty and Winslow (2016) for more robust macrobonding in DNA origami. They observed that GOCs are closely related to optical orthogonal codes (OOCs). It is possible for GOCs to have size greater than OOCs of corresponding parameters due to slightly more relaxed constraints on correlations. However, the existence of GOCs exceeding the size of optimal OOCs of corresponding parameters has never been demonstrated. This paper gives the first infinite family of GOCs of size greater than optimal OOCs.

Original languageEnglish
Pages (from-to)2883-2895
Number of pages13
JournalIEEE Transactions on Information Theory
Volume64
Issue number4
DOIs
StatePublished - 1 Apr 2018
Externally publishedYes

Keywords

  • Base stacking
  • DNA nanotechnology
  • bonds
  • geometric orthogonal codes
  • optical orthogonal codes
  • optical orthogonal signature pattern codes

ASJC Scopus subject areas

  • Information Systems
  • Computer Science Applications
  • Library and Information Sciences

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