New optimal $(v, \{3,5\}, 1, Q)$ optical orthogonal codes

Huangsheng  Yu; Dianhua Wu; Jinhua Wang

doi:10.3934/amc.2016042

Article Contents

2016, Volume 10, Issue 4: 811-823. Doi: 10.3934/amc.2016042

This issue Previous Article Modelling the shrinking generator in terms of linear CA Next Article New complementary sets of length $2^m$ and size 4

New optimal $(v, \{3,5\}, 1, Q)$ optical orthogonal codes

1.
Guangxi Key Lab of Multi-source Information Mining & Security, Guilin 541004
2.
Department of Mathematics, Guangxi Normal University, Guilin, Guangxi 541004
3.
School of Sciences, Nantong University, Nantong, Jiangsu 226007

Received: December 31, 2014

Revised: December 31, 2015

Published: October 2016

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Abstract

Variable-weight optical orthogonal code (OOC) was introduced by Yang for multimedia optical CDMA systems with multiple quality of service (QoS) requirements. It is proved that optimal $(v, \{3, 5\}, 1, (1/2, 1/2))$-OOCs exist for some complete congruence classes of $v$. In this paper, for $Q\in \{(2/3,1/3), (3/4,1/4)\}$, by using skew starters, it is also proved that optimal $(v, \{3,5\}, 1, Q)$-OOCs exist for some complete congruence classes of $v$.

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Mathematics Subject Classification: Primary: 05B40; Secondary: 94C30.

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