Some cyclic BIBDs with block size four | Zendy

Chang Yanxun | Zendy

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Some cyclic BIBDs with block size four

Author(s) -

Chang Yanxun

Publication year - 2004

Publication title -

journal of combinatorial designs

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.618

H-Index - 34

eISSN - 1520-6610

pISSN - 1063-8539

DOI - 10.1002/jcd.20004

Subject(s) - mathematics , modulo , combinatorics , block size , block (permutation group theory) , product (mathematics) , cyclic group , integer (computer science) , computer science , geometry , abelian group , computer security , key (lock) , programming language

In this paper we give some results on cyclic BIBDs with block size 4. It is proved that a cyclic B (4,1;4 n u ) exists where u is a product of primes congruent to 1 modulo 6 and n is a positive integer and n ≥ 3. In the case of n = 2, we also give some partial results on the existence of a cyclic B (4,1;4 2 u ) where u is a product of primes congruent to 1 modulo 6. © 2004 Wiley Periodicals, Inc.

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