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arXiv 1405.7328math.CO
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Charm手镯及其在周期Golay偶构造中的应用

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

Dragomir Z Djokovic, Ilias Kotsireas, Daniel Recoskie, Joe Sawada

摘要:

一个$k$ -ary手链是一个等价类的长度$n$字符串的作用指数由加群的整数环模$n$扩展的一组单位。通过应用$O(n^3)$摊销时间算法生成具有指定内容的护身符手镯代表,我们构造了29个新的周期Golay对长度为$68$。

英文摘要:

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 $68$.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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