A few more optimal optical orthogonal codes with non-constant auto-correlation function

نویسندگان

چکیده

In the last decade many variants of well-known notion an optical orthogonal code (OOC) have been studied. particular, it was allowed to variable weights and that codewords different weight may autocorrelation parameters so one should speak 'autocorrelation function' rather than parameter'. this paper we investigate OOCs with two 4 5, function values in $ \{1, 2\} $, crosscorrelation parameter one. After giving tight upper bounds on their maximum size, construct some infinite classes reaching optimality as 5.

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ژورنال

عنوان ژورنال: Advances in Mathematics of Communications

سال: 2023

ISSN: ['1930-5346', '1930-5338']

DOI: https://doi.org/10.3934/amc.2023029