New type of block design

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, [λ1, λ2, … , λm])‐difference sets and (υ, k, [λ1,λ2, … , λm])‐designs. We will mainly study designs with a relationship we call λ‐equivale...

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Bibliographic Details
Published in:Journal of combinatorial designs 2003, Vol.11 (1), p.1-23
Main Authors: Mendelsohn, N. S., Liang, M.
Format: Article
Language:English
Subjects:
block design
difference set
λ-equivalence parallel class
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Summary: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, [λ1, λ2, … , λm])‐difference sets and (υ, k, [λ1,λ2, … , λm])‐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
ISSN:1063-8539
1520-6610
DOI:10.1002/jcd.10031