Bits and relative order from residues, space efficiently

For each k, let P k be the product of the first k primes. Each integer in the interval [0, P k ) is determined by its residues modulo these k primes. We address the problems of space-efficiently computing the bits and the relative order of such numbers from their residues.

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Veröffentlicht in:Information processing letters 1994-05, Vol.50 (3), p.123-127
Hauptverfasser: Dietz, Paul F., Macarie, Ioan I., Seiferas, Joel I.
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container_title Information processing letters
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creator Dietz, Paul F.
Macarie, Ioan I.
Seiferas, Joel I.
description For each k, let P k be the product of the first k primes. Each integer in the interval [0, P k ) is determined by its residues modulo these k primes. We address the problems of space-efficiently computing the bits and the relative order of such numbers from their residues.
doi_str_mv 10.1016/0020-0190(94)00021-2
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ispartof Information processing letters, 1994-05, Vol.50 (3), p.123-127
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source Elsevier ScienceDirect Journals
subjects Binary representation
Chinese remainder theorem
Computational complexity
Computer programming
Information processing
Mathematical analysis
Parity detection
Residue number system
Sign detection
Space complexity
Studies
title Bits and relative order from residues, space efficiently
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