Title: Approximation Calculations on the Elliptic Curves over Unramified Extensions of 2-Adic Number Fields
Abstract: In this paper we address approximation calculations on the elliptic curves defined over unramified extensions of 2-adic number fields,including the finite representation of rational points of an elliptic curve over such fields,lifting algorithms in the point addition and the addition formula with approximation calculations under this representation.Combining with two lifting methods,we get approximation calculation formulas in all conditions for the point addition of the group of rational points on an elliptic curve over these fields.It will be beneficial for the feasibility analysis on the elliptic curve cryptography defined over infinite fields.
Publication Year: 2008
Publication Date: 2008-01-01
Language: en
Type: article
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