A New Family of Cyclic Difference Sets With Singer Parameters in Characteristic Three
Document Type
Article
Publication Date
2003
Abstract
We construct a new family of cyclic difference sets with parameters ((3d − 1)/2, (3d − 1 − 1)/2, (3d − 2 − 1)/2) for each odd d. The difference sets are constructed with certain maps that form Jacobi sums. These new difference sets are similar to Maschietti's hyperoval difference sets, of the Segre type, in characteristic two. We conclude by calculating the 3-ranks of the new difference sets.
Repository Citation
Arasu, K. T.,
& Player, K. J.
(2003). A New Family of Cyclic Difference Sets With Singer Parameters in Characteristic Three. Designs, Codes, and Cryptography, 28 (1), 75-91.
https://corescholar.libraries.wright.edu/math/558
DOI
10.1023/A:1021827804314
