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Some combinatorial constructions for optical orthogonal codes

✍ Scribed by Jianxing Yin

Publisher
Elsevier Science
Year
1998
Tongue
English
Weight
942 KB
Volume
185
Category
Article
ISSN
0012-365X

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✦ Synopsis

A (v,k,p) optical orthogonal code ~ is a family of (0,1)-sequences of length v and weight k satisfying the following two properties: (1)~o<.,<.v_lXtX,+i<~p, for any x = (Xo, x ~ ..... x ~_ ~ ) e ~ and any integer i ~ 0 (rood v); (2) 5~ o ~, .< ~-~ x~ y, + ~ ~< p, for any x ~ y in ~ and any integer i. The study of optical orthogonal codes is motivated by an application in a code-division multiple-access fiber optical channel which requires binary sequences with good correlation properties. In this paper, some combinatorial constructions for optimal (v, k, 1) optical orthogonal codes are developed. The constructions are also used to derive a bulk of new optical orthogonal codes.

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