Paper 2017/680
SOFIA: MQ-based signatures in the QROM
Ming-Shing Chen, Andreas Hülsing, Joost Rijneveld, Simona Samardjiska, and Peter Schwabe
Abstract
We propose SOFIA, the first MQ-based signature scheme provably secure in the quantum-accessible random oracle model (QROM). Our construction relies on an extended version of Unruh's transform for 5-pass identification schemes that we describe and prove secure both in the ROM and QROM. Based on a detailed security analysis, we provide concrete parameters for SOFIA that achieve 128 bit post-quantum security. The result is SOFIA-4-128 with parameters that are carefully optimized to minimize signature size and maximize performance. SOFIA-4-128 comes with an implementation targeting recent Intel processors with the AVX2 vector-instruction set; the implementation is fully protected against timing attacks.
Metadata
- Available format(s)
-
PDF
- Publication info
- Preprint. MINOR revision.
- Keywords
- Post-quantum cryptographymultivariate cryptography$5$-pass identification schemesQROMUnruh's transformvectorized implementation
- Contact author(s)
- authors-sofia @ joostrijneveld nl
- History
- 2017-07-18: received
- Short URL
- https://ia.cr/2017/680
- License
-
CC BY
BibTeX
@misc{cryptoeprint:2017/680,
author = {Ming-Shing Chen and Andreas Hülsing and Joost Rijneveld and Simona Samardjiska and Peter Schwabe},
title = {{SOFIA}: {MQ}-based signatures in the {QROM}},
howpublished = {Cryptology {ePrint} Archive, Paper 2017/680},
year = {2017},
url = {https://eprint.iacr.org/2017/680}
}
