Geometric Orthogonal Codes of Size Larger Than Optical Orthogonal Codes

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

doi:10.1109/TIT.2017.2788140

Geometric Orthogonal Codes of Size Larger Than Optical Orthogonal Codes

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

Research output: Contribution to journal › Article › peer-review

5 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 language	English
Pages (from-to)	2883-2895
Number of pages	13
Journal	IEEE Transactions on Information Theory
Volume	64
Issue number	4
DOIs	https://doi.org/10.1109/TIT.2017.2788140
State	Published - 1 Apr 2018
Externally published	Yes

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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10.1109/TIT.2017.2788140

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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.",

keywords = "Base stacking, DNA nanotechnology, bonds, geometric orthogonal codes, optical orthogonal codes, optical orthogonal signature pattern codes",

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AU - Kiah, Han Mao

AU - Ling, San

AU - Wei, Hengjia

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AB - 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.

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KW - DNA nanotechnology

KW - bonds

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KW - optical orthogonal codes

KW - optical orthogonal signature pattern codes

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Geometric Orthogonal Codes of Size Larger Than Optical Orthogonal Codes

Abstract

Keywords

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