Legendre G-Array Pairs and the Theoretical Unification of Several G-Array Families
Document Type
Article
Publication Date
11-1-2020
Abstract
We investigate how Legendre G-array pairs are related to several different perfect binary G-array families. In particular, the paper studies relationships between Legendre G-array pairs, Sidelnikov-Lempel-Cohn-Eastman arrays, Yamada-Pott G-array pairs, Ding-Helleseth-Martinsen arrays, Szekeres array pairs, Paley array pairs, and Baumert array pairs. The work also resolves one of the open problems posed in a previous study by Ding, presents computational existence and non-existence results for Legendre ( \mathbb{Z}*n )-array pairs, and introduces a previously unknown Legendre ( \mathbb{Z}*{57} )-array pair using cyclotomic cosets.
Repository Citation
Arasu, K. T.,
Bulutoglu, D. A.,
& Hollon, J. R.
(2020). Legendre G-Array Pairs and the Theoretical Unification of Several G-Array Families. Journal of Combinatorial Designs, 28 (11), 814-841.
https://corescholar.libraries.wright.edu/math/538
DOI
10.1002/jcd.21745
