More Missing Entries in Lander’s Table Could Be Filled
Document Type
Article
Publication Date
8-1-1988
Abstract
We refer the reader to [5] and [11] for the basic facts on difference sets and their multipliers. In [2], the author proved the nonexistence of (81, 16, 3) abelian difference sets in •3 x Z 3 x Z9 and in Z9 x ~g9, thereby filling two of the missing entries in Lander's table. By proving a temma on intersection numbers of a difference set relative to a subgroup of the underlying group, similar analysis as in [2] enables us to prove the nonexistence of six more difference sets, without the aid of an electronic device, Finally we exhibit (64, 28, 12) difference sets in Z8 x ig 8 and Z4 x ;g16.
Repository Citation
Arasu, K. T.
(1988). More Missing Entries in Lander’s Table Could Be Filled. Archiv der Mathematik, 51 (2), 188-192.
https://corescholar.libraries.wright.edu/math/595
DOI
10.1007/BF01206479
