The complexity of bit retrieval

January 13, 2016 Β· Declared Dead Β· πŸ› IEEE Transactions on Information Theory

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Authors Veit Elser arXiv ID 1601.03428 Category cs.DS: Data Structures & Algorithms Cross-listed math.CO, math.NA, math.OC Citations 19 Venue IEEE Transactions on Information Theory Last Checked 3 months ago
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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