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    Please use this identifier to cite or link to this item: http://ir.cnu.edu.tw/handle/310902800/22538

    標題: Simple Balanced Incomplete Block Designs with Parameterd (q,k,k(k-1))
    作者: Hsin-Min Sun
    貢獻者: 藥學系
    關鍵字: balanced incomplete block design
    difference family
    finite field
    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
    Appears in Collections:[嘉南學報] 25 期 (1999)
    [藥學系(所)] 期刊論文

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