New type of block design | Zendy

Mendelsohn N. S. | Zendy; Liang M. | Zendy

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New type of block design

Author(s) -

Mendelsohn N. S.,

Liang M.

Publication year - 2002

Publication title -

journal of combinatorial designs

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.618

H-Index - 34

eISSN - 1520-6610

pISSN - 1063-8539

DOI - 10.1002/jcd.10031

Subject(s) - mathematics , equivalence (formal languages) , block (permutation group theory) , type (biology) , combinatorics , class (philosophy) , difference set , discrete mathematics , arithmetic , computer science , artificial intelligence , abelian group , ecology , biology

We are already familiar with (υ, k, λ)‐difference sets and (υ, k, λ)‐designs. In this paper, we will introduce a new class of difference sets and designs: (υ, k, [λ 1 , λ 2 , … , λ m ])‐difference sets and (υ, k, [λ 1 ,λ 2 , … , λ m ])‐designs. We will mainly study designs with a relationship we call λ‐equivalence and use them to produce other designs. Some existence or nonexistence theorems will be given. © 2002 Wiley Periodicals, Inc. J Combin Designs 11: 1–23, 2003; Published online in Wiley InterScience ( www.interscience.wiley.com ). DOI 10.1002/jcd.10031

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