Bhaskar Rao designs with block size four

Authors:
G. Ge;C. W. H. Lam
Affiliations:
Department of Mathematics, Suzhou University, 215006, People's Republic of China;Department of Computer Science, Concordia University, Montreal, Qué., Canada, H3G 1M8
Venue:
Discrete Mathematics
Year:
2003

Citing 4
Cited 3

Design theory

Design theory
Cyclic designs

Cyclic designs
Some combinational constructions for optical orthogonal codes

Discrete Mathematics
More c-Bhaskar Rao designs with small block size

Discrete Mathematics - Papers on the occasion of the 65th birthday of Alex Rosa

Existence of GBRDs with block size 4 and BRDs with block size 5

Designs, Codes and Cryptography
Semicyclic 4-GDDs and related two-dimensional optical orthogonal codes

Designs, Codes and Cryptography
GBRDs over supersolvable groups and solvable groups of order prime to 3

Designs, Codes and Cryptography

Quantified Score

Hi-index	0.05

Visualization

Abstract

A Bhaskar Rao design, i.e., a BRD(v, k, λ), is formed by signing the v by b incidence matrix of a BIBD(v, k, λ) so that the inner product of any two distinct rows is 0. It is proved in the literature that such designs exist for k=4 with 28 possible exceptions. In this paper, we show that a BRD is equivalent to a special kind of group divisible design (GDD). By using the knowledge of GDDs, we resolve the open cases of BRD(v, 4, λ) and complete the spectrum problem on their existence.