Several classes of (2m - 1,w,2 optical orthogonal codes

Authors:
Cunsheng Ding;Chaoping Xing
Affiliations:
Department of Computer Science, The Hong Kong University of Science and Technology, Clear Water Bay, Kowloon, Hong Kong, China;Department of Mathematics, The National University of Singapore, Block S14, 2 Science Drive 2, Singapore 117543, Singapore
Venue:
Discrete Applied Mathematics - Special issue: International workshop on coding and cryptography (WCC 2001)
Year:
2003

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Abstract

Optical orthogonal codes have applications in optical code-division multiple access communication systems and other wide band code-division multiple environments. They can also be used to construct protocol sequences for multiuser collision channel without feedback, and constant weight codes for error detection and correction. In this paper, we construct four classes of (2m - 1,w,2) cyclotomic optical orthogonal codes, where w ∈ {5,9} or w ≥ 11 is any prime having primitive root 2, and therefore the corresponding classes of binary constant-weight cyclic codes.