Abstract
Starters and their connections with codes are discussed. It is shown that there exists a skew starter in Zv for all v such that gcd(v,6)=1, v is either not divisible by 5 or divisible by 25. This can be used to show that there exists an optimal (6v,4,1) optical orthogonal code in Z6v for all v such that gcd(v,6)=1. By using frame starters with some special properties and their generalization, the spectrum of length n is determined to be n⩾8 for maximum constant weight codes of distance 3 and weight 3 over an alphabet of size 7.
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