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arXiv · 1405.7328

Charm bracelets and their application to the construction of periodic Golay pairs

Dragomir Z Djokovic·Ilias Kotsireas·Daniel Recoskie·Joe Sawada
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Abstract

A $k$-ary charm bracelet is an equivalence class of length $n$ strings with the action on the indices by the additive group of the ring of integers modulo $n$ extended by the group of units. By applying an $O(n^3)$ amortized time algorithm to generate charm bracelet representatives with a specified content, we construct 29 new periodic Golay pairs of length $68$.

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Dragomir Z Djokovic, Ilias Kotsireas, Daniel Recoskie, Joe Sawada. 2015-04-06. Charm bracelets and their application to the construction of periodic Golay pairs. https://doi.org/10.1016/j.dam.2015.03.001

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