Nonexistence of certain supplementary difference sets
1975 ◽
Vol 13
(3)
◽
pp. 343-348
◽
Keyword(s):
This paper finds restrictions on the parameters of supplementary difference sets in any group G with a subgroup of index 2, which therefore includes all cyclic groups of even orders. As a corollary to the main theorem, we have that if S1, …, Sr are r − {2v, k1, …, kr; 2λ} supplementary difference sets in such a group, then not all of v, k1, …, kr, λ are odd; also is the sum of r squares.
1997 ◽
Vol 62
(1)
◽
pp. 81-90
◽
Keyword(s):
1976 ◽
Vol 21
(4)
◽
pp. 438-446
1996 ◽
Vol 53
(1)
◽
pp. 93-115
◽
Keyword(s):
1996 ◽
Vol 51
(3)
◽
pp. 283-291
◽
Keyword(s):
1974 ◽
Vol 11
(1)
◽
pp. 1-4
◽
1985 ◽
Vol 57
(3)
◽
pp. 211-216
◽
Keyword(s):
1992 ◽
Vol 103
(1)
◽
pp. 75-90
◽
Keyword(s):
1991 ◽
Vol 58
(2)
◽
pp. 310-317
◽