Please use this identifier to cite or link to this item:
|Title:||A nonexistence result on difference sets, partial difference sets and divisible difference sets|
Partial difference sets
|Citation:||Arasu, K.T., Ma, S.L. (2001-05-01). A nonexistence result on difference sets, partial difference sets and divisible difference sets. Journal of Statistical Planning and Inference 95 (1-2) : 67-73. ScholarBank@NUS Repository. https://doi.org/10.1016/S0378-3758(00)00278-0|
|Abstract:||A new nonexistence theorem is proved for abelian difference sets. The proof technique generalizes to yield similar theorems for partial and divisible difference sets. As applications, we establish the nonexistence of two previously open difference sets: (243, 121, 60) difference sets in Z9×Z27 and (351, 126, 45) difference sets in Z351, thereby filling two missing entries in a recent table of Vera Lopez and Sanchez (1997) both with answer 'no'. © 2001 Elsevier Science B.V.|
|Source Title:||Journal of Statistical Planning and Inference|
|Appears in Collections:||Staff Publications|
Show full item record
Files in This Item:
There are no files associated with this item.
checked on Aug 14, 2018
WEB OF SCIENCETM
checked on Aug 6, 2018
checked on Jun 29, 2018
Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.