Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4646978 | Discrete Mathematics | 2015 | 13 Pages |
Abstract
Two cyclic relative difference families (n,g,w,1)(n,g,w,1)-CRDFs AA and BB are called 2-compatible if |(A+x)∩(B+y)|≤2|(A+x)∩(B+y)|≤2 for any A∈AA∈A, B∈BB∈B and x,y∈Znx,y∈Zn. In an investigation of multilength optical orthogonal codes (MLOOCs) of weight four, pairwise 2-compatible CRDFs with block size four play an important role. In this paper, we obtain some infinite classes of kk pairwise 2-compatible CRDFs with block size four by using cyclotomic classes and disjoint skew starters. Consequently, some infinite classes of optimal MLOOCs of weight four are obtained.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Discrete Mathematics and Combinatorics
Authors
Jingjun Bao, Lijun Ji, Yang Li, Chengmin Wang,