# New Infinite Families of Perfect Quaternion Sequences and Williamson Sequences

@article{Bright2020NewIF,
title={New Infinite Families of Perfect Quaternion Sequences and Williamson Sequences},
author={Curtis Bright and Ilias S. Kotsireas and Vijay Ganesh},
journal={IEEE Transactions on Information Theory},
year={2020},
volume={66},
pages={7739-7751}
}
• Published 1 May 2019
• Computer Science, Engineering, Mathematics
• IEEE Transactions on Information Theory
We present new constructions for perfect and odd perfect sequences over the quaternion group <inline-formula> <tex-math notation="LaTeX">$Q_{8}$ </tex-math></inline-formula>. In particular, we show for the first time that perfect and odd perfect quaternion sequences exist in all lengths <inline-formula> <tex-math notation="LaTeX">$2^{t}$ </tex-math></inline-formula> for <inline-formula> <tex-math notation="LaTeX">$t\geq 0$ </tex-math></inline-formula>. In doing so we disprove the quaternionic…
3 Citations

## Topics from this paper

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Research Statement of Curtis Bright
My research focuses on automating mathematics by developing new efficient techniques for solving mathematical conjectures that require extremely large searches. To this end, my research combines the

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