聖塔非研究所

摘要 Binary sequences with minimal autocorrelations ha

2016-03-08 · 已發表論文 · 更新 2026/08/30 下午12:48

摘要 Binary sequences with minimal autocorrelations have applications in communication engineering, mathematics and computer science. In 統計 physics they appear as groundstates of the Bernascon…

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論文資訊

  • 類型:已發表論文
  • 日期:2016-03-08

摘要

Binary sequences with minimal autocorrelations have applications in communication engineering, mathematics and computer science. In 統計 physics they appear as groundstates of the Bernasconi model. Finding these sequences is a notoriously hard problem, that so far can be solved only by exhaustive search. We review recent algorithms and present a new algorithm that finds optimal sequences of length N in time O(N 1.73(N)). We computed all optimal sequences for N <= 66 and all optimal skewsymmetric sequences for N <= 119.

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