Simple Balanced Incomplete Block Designs with Parameterd (q,k,k(k-1))

CNU IR > Chna Nan Annual Bulletin > Vol.25 (1999) > Item 310902800/22538

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Title:	Simple Balanced Incomplete Block Designs with Parameterd (q,k,k(k-1)) 具參數(Q,K,K(K-1))之平衡不完全集區設計
Authors:	Hsin-Min Sun
Contributors:	藥學系
Keywords:	balanced incomplete block design difference family finite field 平衡不完全集區設計差集族有限域
Date:	1999
Issue Date:	2010-04-08 13:05:45 (UTC+8)
Abstract:	The study of BIBDs (balanced incomplete block designs) is one of the main topics in combinatorics. BIBDs also have the applications in experimental designs, coding and information theory,cryptography,and finite geometries. We assume that p is an odd prime number and q=pα. For any number k with gcd (k, p(q-1))=1 and 3 ≦ k s≦ q-4. we construct simple BIBDs with parameters (q, k,k(k-1)). By applying the first result, similar construction is obtained for any number k with gcd (k-1, p(q-l))=1, p t + k, and 4≦k≦q-3.
Relation:	嘉南學報 25 : p.90-94
Appears in Collections:	[Chna Nan Annual Bulletin] Vol.25 (1999) [Dept. of Pharmacy] Periodical Articles

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