New results on optimal (v, 4, 2, 1) optical orthogonal codes
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- Buratti, M., Momihara, K. & Pasotti, A. Des. Codes Cryptogr. (2011) 58: 89. doi:10.1007/s10623-010-9382-z
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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.