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Approximation of the Discrete Logarithm Modulo p

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Part of the book series: Progress in Computer Science and Applied Logic ((PCS,volume 17))

Abstract

Here we show that polynomials and algebraic functions approximating the discrete logarithm modulo p on sufficiently large sets must be of sufficiently large degree, in fact exponentially large (in terms of logp). Many of the results of this chapter can also be found in [48]. We start with a rather simple statement.

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© 1999 Springer Basel AG

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Shparlinski, I. (1999). Approximation of the Discrete Logarithm Modulo p. In: Number Theoretic Methods in Cryptography. Progress in Computer Science and Applied Logic, vol 17. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-8664-2_4

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  • DOI: https://doi.org/10.1007/978-3-0348-8664-2_4

  • Publisher Name: Birkhäuser, Basel

  • Print ISBN: 978-3-0348-9723-5

  • Online ISBN: 978-3-0348-8664-2

  • eBook Packages: Springer Book Archive

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