Abstract
Lexicographic, digital, enumerative, Galois linear and polynomial methods of retrieval are called elementary. The first three of them are widely known. The Galois methods are defined in Sections 5.2 and 5.3. We present those retrieval algorithms in a non standard way: each of them determines a family of maps, which constitute a universal hash-set, a universal numerator in particular.
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Notes
Cover T.M. (1973) Enumerative Source Encoding. IEEE. Trans. Inf. Th., Vol. IT-19(1), P. 73–73.
Knuth D.E. (1973) The Art of Computer Programming. 2nd ed., Addison—Wesley, Reading, MA, 3 volumes.
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© 1994 Springer Science+Business Media Dordrecht
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Krichevsky, R. (1994). Elementary Universal Sets. In: Universal Compression and Retrieval. Mathematics and Its Applications, vol 274. Springer, Dordrecht. https://doi.org/10.1007/978-94-017-3628-2_7
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DOI: https://doi.org/10.1007/978-94-017-3628-2_7
Publisher Name: Springer, Dordrecht
Print ISBN: 978-90-481-4357-3
Online ISBN: 978-94-017-3628-2
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