2024 Multiple base discrete logarithm problem based on three primes in $\mathbb{Z}$ and three points in $E_d(\mathbb{Q}(i))$
Dorota Blinkiewicz
Funct. Approx. Comment. Math. Advance Publication 1-16 (2024). DOI: 10.7169/facm/2156

Abstract

In [B2], we discussed the multiple base discrete logarithm problem involving two primes in the $n$-th power of $\mathbb{G}_m$ or two points in the $n$-th power of the CM elliptic curve $E_d:y^2=x^3-d^2x$. In this paper, we conduct our research for three primes and three points. These computations lead to new constructions of families of wild $1$-motives (see, [BB2]).

Citation

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Dorota Blinkiewicz. "Multiple base discrete logarithm problem based on three primes in $\mathbb{Z}$ and three points in $E_d(\mathbb{Q}(i))$." Funct. Approx. Comment. Math. Advance Publication 1 - 16, 2024. https://doi.org/10.7169/facm/2156

Information

Published: 2024
First available in Project Euclid: 27 August 2024

Digital Object Identifier: 10.7169/facm/2156

Subjects:
Primary: 11Rxx , 14L15

Keywords: 1-motive , discrete logarithm problem , Elliptic curve , Torus

Rights: Copyright © 2024 Adam Mickiewicz University

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