(81, 16, 3) Abelian Difference Sets Do Not Exist

Authors

• K. T. Arasu, Wright State University - Main CampusFollow

Document Type

Article

Publication Date

11-1-1986

Abstract

Of the five abelian groups of order 81, three are known not to contain a (81, 16, 3) difference set. We prove that the remaining two groups behave similarly. Consequently, two of the missing entries in Lander's table can be filled with a negative response.

Repository Citation

Arasu, K. T. (1986). (81, 16, 3) Abelian Difference Sets Do Not Exist. Journal of Combinatorial Theory. Series A, 43 (2), 350-353.
https://corescholar.libraries.wright.edu/math/598

DOI

10.1016/0097-3165(86)90076-2