On a class of small 2‐designs over gf(q)

Masashi Miyakawa, Akihiro Munemasa, Satoshi Yoshiara

Research output: Contribution to journalArticlepeer-review

27 Citations (Scopus)

Abstract

A 2 − (v,k,λ;q) design is a pair (V, B) of a v‐dimensional vector space V over GF(q) and a collection B of k‐dimensional subspaces of V such that each 2‐dimensional subspace of V is contained in exactly λ members of B. Assuming transitivity of their automorphism groups on the nonzero vectors of V, we give a classification of nontrivial such designs for v = 7, q = 2,3 with small λ, together with the nonexistence proof of those designs for v ⩽ 6. © 1995 John Wiley & Sons, Inc.

Original languageEnglish
Pages (from-to)61-77
Number of pages17
JournalJournal of Combinatorial Designs
Volume3
Issue number1
DOIs
Publication statusPublished - 1995
Externally publishedYes

ASJC Scopus subject areas

  • Discrete Mathematics and Combinatorics

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