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ON LINEARISED POLYNOMIALS, SIDON ARRAYS AND FAST CONSTRUCTION OF SIDON SETS
Published online by Cambridge University Press: 30 August 2022
Abstract
A Sidon set is a subset of an Abelian group with the property that the sums of two distinct elements are distinct. We relate the Sidon sets constructed by Bose to affine subspaces of
$ \mathbb {F} _ {q ^ 2} $
of dimension one. We define Sidon arrays which are combinatorial objects giving a partition of the group
$\mathbb {Z}_{q ^ 2} $
as a union of Sidon sets. We also use linear recurring sequences to quickly obtain Bose-type Sidon sets without the need to use the discrete logarithm.
- Type
- Research Article
- Information
- Bulletin of the Australian Mathematical Society , Volume 106 , Issue 3 , December 2022 , pp. 376 - 384
- Copyright
- © The Author(s), 2022. Published by Cambridge University Press on behalf of Australian Mathematical Publishing Association Inc.
References
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