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Efficient Generation of Roots of Power Residues Modulo Powers of Two

Author

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  • Ferucio Laurenţiu Ţiplea

    (Department of Computer Science, “Alexandru Ioan Cuza” University of Iaşi, 700506 Iaşi, Romania)

Abstract

We propose a characterization for the roots of power residues modulo powers of two. By this characterization, the remainder of dividing a root by a power of two is uniformly distributed in a set with two odd integers, while the quotient is uniformly distributed in an initial segment of positive integers. This property allows us to generate roots of power residues modulo powers of two efficiently.

Suggested Citation

  • Ferucio Laurenţiu Ţiplea, 2022. "Efficient Generation of Roots of Power Residues Modulo Powers of Two," Mathematics, MDPI, vol. 10(6), pages 1-9, March.
    • Handle: RePEc:gam:jmathe:v:10:y:2022:i:6:p:908-:d:769361
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    References listed on IDEAS

    as
    1. Ţiplea, Ferucio Laurenţiu & Iftene, Sorin & Teşeleanu, George & Nica, Anca-Maria, 2020. "On the distribution of quadratic residues and non-residues modulo composite integers and applications to cryptography," Applied Mathematics and Computation, Elsevier, vol. 372(C).
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