IACR News item: 18 November 2015
Michał Wroński
ePrint ReportIn the first we show that using twisted Edwards curves over F_{p²} with fast computable endomorphism (GLV-GLS method) may be nowadays on of the fastest (or even the fastest) solution in hardware applications.
In the second we show how we can speed-up point scalar multiplication on NIST P-224 and NIST P-256 curves. We use field extension (F_{p²}) to find isomorphic to these curves twisted Hessian curves over F_{p²}. Our solution is faster than classic solutions up to 28.5% for NIST P-256 and up to 27.2% for NIST P-224 if we consider solution invulnerable for side channel attacks. We can also use different formula for point doubling and points addition and then our solution is faster up to 21.4% for NIST P-256 and up to 19.9% for NIST P-224 comparing to classic solutions.
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