A Few More Cyclic Steiner 2-Designs
نویسندگان
چکیده
In this paper, we prove the existence of a cyclic (v, 4, 1)-BIBD for v = 12t + 4, 3 ≤ t ≤ 50 using computer programs, which are useful in recursive constructions for cyclic designs. Applications of these designs to optical orthogonal codes are also mentioned.
منابع مشابه
An infinite family of Steiner systems S(2, 4, 2m) from cyclic codes
Steiner systems are a fascinating topic of combinatorics. The most studied Steiner systems are S(2,3,v) (Steiner triple systems), S(3,4,v) (Steiner quadruple systems), and S(2,4,v). There are a few infinite families of Steiner systems S(2,4,v) in the literature. The objective of this paper is to present an infinite family of Steiner systems S(2,4,2m) for all m ≡ 2 (mod 4)≥ 6 from cyclic codes. ...
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عنوان ژورنال:
- Electr. J. Comb.
دوره 13 شماره
صفحات -
تاریخ انتشار 2006