SUFFICIENT CONDITIONS AND CONSTRUCTION OF SYMMETRIC BIBD

  • KANG, SUNGKWON (Dept. of Mathematics, Chosun University) ;
  • JUNG, YOON-TAE (Dept. of Mathematics, Chosun University) ;
  • LEE, JU-HYUN (Dept. of Mathematics, Chosun University)
  • 투고 : 2002.05.06
  • 발행 : 2002.07.30

초록

Some sufficient conditions on the existence and uniqueness of certain symmetric balanced incomplete block design are introduced. Also, a construction algorithm for the design and some examples are presented. The algorithm is developed based on the construction of subspaces of the three-dimensional vector space over a field.

키워드

Balanced incomplete block design(BIBD);symmetric BIBD;projective plane

과제정보

연구 과제 주관 기관 : Chosun University Research

참고문헌

  1. Advancs in Cryptology EURO-CRYPTO'94 Visual cryptography Naor, M.;Shamir, A.
  2. Combinatiorial Designs with Selected Applications. Lecture Notes Stinson, D.R.
  3. Proceedings of the ICIM'01 The conference key distribution system employing a symmetric balanced incomplete block design Oh, M.;Chung, I.
  4. The Search for a Finite Projective Plane of order 10 Lam, C.W.H.
  5. Block Designs Cherowitzo, B.
  6. An introduction to Combinatorial Designs Stinson, D.R.
  7. Comm. of the ACM v.22 no.1 How to share a secret Shamir, A.