Designs, Codes and Cryptography

, Volume 58, Issue 1, pp 89–109

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


DOI: 10.1007/s10623-010-9382-z

Cite this article as:
Buratti, M., Momihara, K. & Pasotti, A. Des. Codes Cryptogr. (2011) 58: 89. doi:10.1007/s10623-010-9382-z


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.


Optical orthogonal codeDifference familyTheorem of Weil on multiplicative character sums

Mathematics Subject Classification (2000)


Copyright information

© Springer Science+Business Media, LLC 2010

Authors and Affiliations

  1. 1.Dipartimento di Matematica e InformaticaUniversità di PerugiaPerugiaItaly
  2. 2.Graduate School of Information ScienceNagoya UniversityNagoyaJapan
  3. 3.Dipartimento di Matematica, Facoltà di IngegneriaUniversità degli Studi di BresciaBresciaItaly