, Volume 58, Issue 1, pp 89-109

New results on optimal (v, 4, 2, 1) optical orthogonal codes

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Abstract

We investigate further the existence question regarding optimal (v, 4, 2, 1) optical orthogonal codes begun in Momihara and Buratti (IEEE Trans Inform Theory 55:514–523, 2009). We give some non-existence results for infinitely many values of v ≡ ± 3 (mod 9) and several explicit constructions for infinite classes of perfect optical orthogonal codes.

Communicated by Victor A. Zinoviev.