Paper 2014/399 Original: eprint.iacr.org/2014/399 ↗
An Asymptotically Optimal Structural Attack on the ABC Multivariate Encryption Scheme
Abstract
Historically, multivariate public key cryptography has been less than successful at offering encryption schemes which are both secure and efficient. At PQCRYPTO '13 in Limoges, Tao, Diene, Tang, and Ding introduced a promising new multivariate encryption algorithm based on a fundamentally new idea: hiding the structure of a large matrix algebra over a finite field. We present an attack based on subspace differential invariants inherent to this methodology. The attack is is a structural key recovery attack which is asymptotically optimal among all known attacks (including algebraic attacks) on the original scheme and its generalizations.
Metadata
- Available format(s)
PDF- Category
- Public-key cryptography
- Publication info
- Preprint.
- History
- 2014-06-02: last updated
- 2014-06-02: published
- Short URL
- https://ia.cr/2014/399
- License
- https://creativecommons.org/licenses/by/4.0/
BibTeX
@misc{cryptoeprint:2014/399,
author = {Dustin Moody and Ray Perlner and Daniel Smith-Tone},
title = {An Asymptotically Optimal Structural Attack on the ABC Multivariate Encryption Scheme},
howpublished = {Cryptology {ePrint} Archive, Paper 2014/399},
year = {2014},
url = {https://eprint.iacr.org/2014/399}
}