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

Chia Nan University of Pharmacy & Science Institutional Repository > 嘉南學報 > 25 期 (1999) > Item 310902800/22538

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標題:	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
作者:	Hsin-Min Sun
貢獻者:	藥學系
關鍵字:	balanced incomplete block design difference family finite field 平衡不完全集區設計差集族有限域
日期:	1999
上傳時間:	2010-04-08 13:05:45 (UTC+8)
摘要:	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.
關聯:	嘉南學報 25 : p.90-94
顯示於類別:	[嘉南學報] 25 期 (1999) [藥學系(所)] 期刊論文

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