Distribution of elliptic twins over fixed finite fields: Numerical results
Cryptography and Security
2015-09-11 v3
Abstract
We report numerical results, and describe plans for future experiments, related to the number of prime-order curves and "elliptic twin" curves over the primes P-224, P-256, and P-384 standardized by NIST for cryptographic applications. Although these results are not sufficient to confirm the formula of Shparlinski and Sutantyo 2014 over these fields, they strongly suggest (~99% probability) that the NIST curve P-384 was not chosen from a uniform distribution over prime-order curves.
Keywords
Cite
@article{arxiv.1506.07269,
title = {Distribution of elliptic twins over fixed finite fields: Numerical results},
author = {David Leon Gil},
journal= {arXiv preprint arXiv:1506.07269},
year = {2015}
}