On multiple base discrete logarithm problem in $\mathbb {G}_m^{n}$ and $E_d^{n}$
Volume 124 / 2021
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.
