Article ID Journal Published Year Pages File Type
4646978 Discrete Mathematics 2015 13 Pages PDF
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.

Related Topics
Physical Sciences and Engineering Mathematics Discrete Mathematics and Combinatorics
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