[Resource Topic] 2007/343: Updated standards for validating elliptic curves

Welcome to the resource topic for 2007/343

Title:
Updated standards for validating elliptic curves

Authors: Laura Hitt

Abstract:

We give a concise statement of a test for security of elliptic curves that should be inserted into the standards for elliptic curve cryptography. In particular, current validation for parameters related to the MOV condition that appears in the latest draft of the IEEE P1363 standard \cite[Section A.12.1, Section A.16.8]{P1363} should be replaced with our subfield-adjusted MOV condition. Similarly, the Standards for Efficient Cryptography Group’s document SEC 1 \cite{sec_1} should make adjustments accordingly.

ePrint: https://eprint.iacr.org/2007/343

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