%0 Journal Article %T Charm bracelets and their application to the construction of periodic Golay pairs %A Dragomir Z Djokovic %A Ilias Kotsireas %A Daniel Recoskie %A Joe Sawada %J Mathematics %D 2014 %I arXiv %X 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 $68$. %U http://arxiv.org/abs/1405.7328v2