Several Classes of (2m - 1, w, 2) Optical Orthogonal Codes

Cunsheng Ding; Chaoping Xing

doi:10.1016/S1571-0653(04)00159-3

Several Classes of (2^m - 1, w, 2) Optical Orthogonal Codes

Cunsheng Ding^*, Chaoping Xing

^*Corresponding author for this work

Department of Computer Science and Engineering

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

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 (2^m-1, w, 2) cyclotomic optical orthogonal codes, where w _ ε {5, 9, 11,13}, and therefore four classes of binary constant-weight cyclic codes.

Original language	English
Pages (from-to)	72-97
Number of pages	26
Journal	Electronic Notes in Discrete Mathematics
Volume	6
DOIs	https://doi.org/10.1016/S1571-0653(04)00159-3
Publication status	Published - Apr 2001

Keywords

Optical orthogonal codes
code-division multiple access
collision channel without feedback
constant-weight codes

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10.1016/S1571-0653(04)00159-3

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title = "Several Classes of (2m - 1, w, 2) Optical Orthogonal Codes",

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 \_ ε \{5, 9, 11,13\}, and therefore four classes of binary constant-weight cyclic codes.",

keywords = "Optical orthogonal codes, code-division multiple access, collision channel without feedback, constant-weight codes",

author = "Cunsheng Ding and Chaoping Xing",

year = "2001",

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doi = "10.1016/S1571-0653(04)00159-3",

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T1 - Several Classes of (2m - 1, w, 2) Optical Orthogonal Codes

AU - Ding, Cunsheng

AU - Xing, Chaoping

PY - 2001/4

Y1 - 2001/4

N2 - 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 _ ε {5, 9, 11,13}, and therefore four classes of binary constant-weight cyclic codes.

AB - 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 _ ε {5, 9, 11,13}, and therefore four classes of binary constant-weight cyclic codes.

KW - Optical orthogonal codes

KW - code-division multiple access

KW - collision channel without feedback

KW - constant-weight codes

UR - https://openalex.org/W2176740111

UR - https://www.scopus.com/pages/publications/34247362874

U2 - 10.1016/S1571-0653(04)00159-3

DO - 10.1016/S1571-0653(04)00159-3

M3 - Journal Article

SN - 1571-0653

VL - 6

SP - 72

EP - 97

JO - Electronic Notes in Discrete Mathematics

JF - Electronic Notes in Discrete Mathematics

ER -

Several Classes of (2^m - 1, w, 2) Optical Orthogonal Codes

Abstract

Keywords

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