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Point Compression and Coordinate Recovery for Edwards Curves over Finite Field Cover

Point Compression and Coordinate Recovery for Edwards Curves over Finite Field

By: Benjamin Justus  
Open Access
|Mar 2015

Abstract

We present two computational approaches for the purpose of point compression and decompression on Edwards curves over the finite field Fp where p is an odd prime. The proposed algorithms allow compression and decompression for the x or y affine coordinates. We also present a x-coordinate recovery algorithm that can be used at any stage of a differential addition chain during the scalar multiplication of a point on the Edwards curve.

DOI: https://doi.org/10.2478/awutm-2014-0014 | Journal eISSN: 1841-3307 | Journal ISSN: 1841-3293
Language: English
Page range: 111 - 125
Submitted on: Jun 25, 2014
Accepted on: Dec 10, 2014
Published on: Mar 25, 2015
Published by: West University of Timisoara
In partnership with: Paradigm Publishing Services
Publication frequency: Volume open

© 2015 Benjamin Justus, published by West University of Timisoara
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.