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A new elliptic curve point compression method based on $\mathbb{F}_{\!p}$-rationality of some generalized Kummer surfaces
[article]

2019
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IACR Cryptology ePrint Archive
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In the article we propose a new compression method (to 2 log 2 (q) + 3 bits) for the F q 2 -points of an elliptic curve E b : It is based on F q -rationality of some generalized Kummer surface GK b . This is the geometric quotient of the Weil restriction R b := R F q 2 /Fq (E b ) under the order 3 automorphism restricted from E b . More precisely, we apply the theory of conic bundles i.e., conics over the function field F q (t) to obtain explicit and quite simple formulas of a birational F q

dblp:journals/iacr/Koshelev19
fatcat:mkzjodwgmrahrl3frehjgxtaau