Chia Nan University of Pharmacy & Science Institutional Repository:Item 310902800/22538
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    CNU IR > Chna Nan Annual Bulletin > Vol.25 (1999) >  Item 310902800/22538
    Please use this identifier to cite or link to this item: https://ir.cnu.edu.tw/handle/310902800/22538


    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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