The complexity of bit retrieval

Veit Elser

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arXiv · 1601.03428

The complexity of bit retrieval

Veit Elser

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Abstract

Bit retrieval is the problem of reconstructing a binary sequence from its periodic autocorrelation, with applications in cryptography and x-ray crystallography. After defining the problem, with and without noise, we describe and compare various algorithms for solving it. A geometrical constraint satisfaction algorithm, relaxed-reflect-reflect, is currently the best algorithm for noisy bit retrieval.

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Veit Elser. 2016-01-13. The complexity of bit retrieval. https://arxiv.org/abs/1601.03428

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