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On the Discrete Logarithm Problem for elliptic curves over local fields. (arXiv:2304.14150v1 [math.AG])
cs.CR updates on arXiv.org arxiv.org
The Discrete Logarithm Problem (DLP) for elliptic curves has been extensively
studied since, for instance, it is the core of the security of cryptosystems
like Elliptic Curve Cryptography (ECC). In this paper, we present an attack to
the DLP for elliptic curves based on its connection to the problem of lifting,
by using the exponential map for elliptic curves and its inverse over $
\mathbb{Z} / p^k \mathbb{Z} $. Additionally, we show that hyperelliptic curves
are resistant to this attack, …
attack cryptography dlp ecc elliptic elliptic curve cryptography instance local math offer problem security