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- W4367365803 abstract "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, meaning that these latter curves offer a higher level of security compared to the classic elliptic curves used in cryptography." @default.
- W4367365803 created "2023-04-30" @default.
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- W4367365803 date "2023-04-27" @default.
- W4367365803 modified "2023-10-18" @default.
- W4367365803 title "On the Discrete Logarithm Problem for elliptic curves over local fields" @default.
- W4367365803 doi "https://doi.org/10.48550/arxiv.2304.14150" @default.
- W4367365803 hasPublicationYear "2023" @default.
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