Charm bracelets and their application to the construction of periodic Golay pairs
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(n3) 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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