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• W3100232568 startingPage "734" @default.
• W3100232568 abstract "We present a new group law defined on a subset of the projective plane $mathbb{F}P^2$ over an arbitrary field $mathbb{F}$, which lends itself to applications in Public Key Cryptography, in particular to a Diffie-Hellman-like key agreement protocol. We analyze the computational difficulty of solving the mathematical problem underlying the proposed Abelian group law and we prove that the security of our proposal is equivalent to the discrete logarithm problem in the multiplicative group of the cubic extension of the finite field considered. Finally, we present a variant of the proposed group law but over the ring $mathbb{Z}/pqmathbb{Z}$, and explain how the security becomes enhanced, though at the cost of a longer key length." @default.
• W3100232568 created "2020-11-23" @default.
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• W3100232568 date "2020-05-07" @default.
• W3100232568 modified "2023-09-27" @default.
• W3100232568 title "A Group Law on the Projective Plane with Applications in Public Key Cryptography" @default.
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• W3100232568 doi "https://doi.org/10.3390/math8050734" @default.
• W3100232568 hasPublicationYear "2020" @default.
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