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On multiple base discrete logarithm problem in $\mathbb {G}_m^{n}$ and $E_d^{n}$

Volume 124 / 2021

Dorota Blinkiewicz Banach Center Publications 124 (2021), 27-33 MSC: 11Rxx, 11Txx. DOI: 10.4064/bc124-3

Abstract

In this paper, we consider local to global principle in $n$th power of $\mathbb {G}_m$ and $n$th power of CM elliptic curve $E_d: y^2=x^3-d^2x$. In both cases, for $n \gt 1$, we give examples where local to global multiple base discrete logarithm problem fails.

Authors

  • Dorota BlinkiewiczFaculty of Mathematics and Computer Science
    Adam Mickiewicz University
    Uniwersytetu Poznańskiego 4
    61-614 Poznań, Poland
    ORCID: 0000-0002-9919-6757
    e-mail

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