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Scalar multiplication in compressed coordinates in the trace-zero subgroup
September 13, 2017 Β· Declared Dead Β· π IACR Cryptology ePrint Archive
"No code URL or promise found in abstract"
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Authors
Giulia Bianco, Elisa Gorla
arXiv ID
1709.04178
Category
cs.CR: Cryptography & Security
Citations
0
Venue
IACR Cryptology ePrint Archive
Last Checked
4 months ago
Abstract
We consider trace-zero subgroups of elliptic curves over a degree three field extension. The elements of these groups can be represented in compressed coordinates, i.e. via the two coefficients of the line that passes through the point and its two Frobenius conjugates. In this paper we give the first algorithm to compute scalar multiplication in the degree three trace-zero subgroup using these coordinates.
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