Journal of Guangxi Normal University(Natural Science Edition) ›› 2017, Vol. 35 ›› Issue (4): 58-62.doi: 10.16088/j.issn.1001-6600.2017.04.008

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Bound and Construction for Optimal (n,{3,4,5},(2,3,1),1,Q)-OOCs

YANG Yang, YU Huangsheng,WU Dianhua*   

  1. College of Mathematics and Statistics, Guangxi Normal University, Guilin Guangxi 541006, China
  • Online:2017-07-25 Published:2018-07-25

Abstract: In this paper, upper bound for an (n,{3,4,5},(2,3,1),1,Q)-OOC is given. By using quadratic residues, it is proved that there exist an optimal (15p,{3,4,5},(2,3,1),1,(1/3,1/3,1/3)-OOC and (25p,{3,4,5},(2,3,1),1,(1/4,1/4,1/2))-OOC for each prime p≡3(mod 4) and p≥7.

Key words: variable-weight, optical orthogonal code, optimal, quadratic residue

CLC Number: 

  • O157.2
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