Osifodunrin, Adegoke S. (2016) On the Non-Existence of Difference Sets with Perfect Square Order. British Journal of Mathematics & Computer Science, 18 (2). pp. 1-17. ISSN 22310851
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Official URL: https://doi.org/10.9734/BJMCS/2016/9173
Abstract
The existence of Paley-Hadamard (4t − 1, 2t − 1, t − 1) difference sets provides a platform for solving the equation δ¯δ = n in the cyclotomic ring Z[ζ4t−1], where ζ4t−1 is root of unity, n > 1 and t > 1 are integers. We look at cases where ⟨n⟩ = ⟨δ⟩⟨¯δ⟩ in Z[ζ4t−1] but δ¯δ = n has trivial solutions. This criterion is combined with other results to conclude non-existence of some difference set parameters.
Item Type: | Article |
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Subjects: | Open Library Press > Mathematical Science |
Depositing User: | Unnamed user with email support@openlibrarypress.com |
Date Deposited: | 16 Jun 2023 06:04 |
Last Modified: | 16 Jun 2023 06:04 |
URI: | https://openlibrarypress.com/id/eprint/1474 |