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Huang, Yuemei; Chang, Yanxun

Two classes of optimal two-dimensional OOCs. (English) Zbl 1263.94040

Des. Codes Cryptography 63, No. 3, 357-363 (2012).
Summary: Let \(\Phi (u \times v, k, \lambda _{a }, \lambda _{c })\) denote the largest possible size among all 2-D \((u \times v, k, \lambda _{a }, \lambda _{c })\)-OOCs. In this paper, the exact value of \(\Phi (u \times v, k, \lambda _{a }, k - 1)\) for \(\lambda _{a } = k - 1\) and \(k\) is determined. The case \(\lambda _{a } = k - 1\) is a generalization of a result in [Y. Yang, Inf. Process. Lett. 40, No. 2, 85–87 (1991; Zbl 0748.94010)], which deals with one-dimensional OOCs, namely, \(u = 1\).

Cited in 12 Documents

MSC:

94B60 Other types of codes

Keywords:

two-dimensional optical orthogonal code; orbit; stabilizer

Citations:

Zbl 0748.94010
Cite Review PDF
Full Text: DOI

References:

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