A nonexistence result on difference sets, partial difference sets and divisible difference sets

Please use this identifier to cite or link to this item: https://doi.org/10.1016/S0378-3758(00)00278-0

Title:	A nonexistence result on difference sets, partial difference sets and divisible difference sets
Authors:	Arasu, K.T. Ma, S.L.
Keywords:	05B10 Difference sets Multipliers Partial difference sets
Issue Date:	1-May-2001
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
URI:	http://scholarbank.nus.edu.sg/handle/10635/102696
ISSN:	03783758
DOI:	10.1016/S0378-3758(00)00278-0
Appears in Collections:	Staff Publications

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