TY - JOUR
T1 - On a class of small 2‐designs over gf(q)
AU - Miyakawa, Masashi
AU - Munemasa, Akihiro
AU - Yoshiara, Satoshi
PY - 1995
Y1 - 1995
N2 - 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.
AB - 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.
UR - http://www.scopus.com/inward/record.url?scp=85011088919&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=85011088919&partnerID=8YFLogxK
U2 - 10.1002/jcd.3180030108
DO - 10.1002/jcd.3180030108
M3 - Article
AN - SCOPUS:85011088919
SN - 1063-8539
VL - 3
SP - 61
EP - 77
JO - Journal of Combinatorial Designs
JF - Journal of Combinatorial Designs
IS - 1
ER -