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Some Infinite Classes of Optimal (v, {3, 4}, 1, Q)-OOCs with \({Q \in \{(\frac {1}{3}, \frac {2}{3}), (\frac {2}{3}, \frac{1}{3})\}}\)

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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 requirements. It is proved that optimal (v, {3, 4}, 1, (1/2, 1/2))-OOCs exist for some complete congruence classes of v. In this paper, for \({Q \in \{(1/3, 2/3), (2/3, 1/3)\}}\), by using skew starters, it is also proved that optimal (v, {3, 4}, 1, Q)-OOCs exist for some complete congruence classes of v.

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Authors and Affiliations

  1. Department of Mathematics, Guangxi Normal University, Guilin, 541004, People’s Republic of China

    Jing Jiang & Dianhua Wu

  2. Department of Electronics and Information Engineering, Chonbuk National University, Jeonju, 561-756, Korea

    Moon Ho Lee

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  1. Jing Jiang
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  2. Dianhua Wu
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  3. Moon Ho Lee
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Correspondence to Dianhua Wu.

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Jiang, J., Wu, D. & Lee, M.H. Some Infinite Classes of Optimal (v, {3, 4}, 1, Q)-OOCs with \({Q \in \{(\frac {1}{3}, \frac {2}{3}), (\frac {2}{3}, \frac{1}{3})\}}\) . Graphs and Combinatorics 29, 1795–1811 (2013). https://doi.org/10.1007/s00373-012-1235-2

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  • DOI: https://doi.org/10.1007/s00373-012-1235-2

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