Paper 2023/830

HPPC: Hidden Product of Polynomial Composition

Borja Gomez Rodriguez
Abstract

The article introduces HPPC a new Digital Signature scheme that intends to resist known previous attacks applied to HFE-based schemes like QUARTZ and GeMSS. The idea is to use maximal degree for the central HFE polynomial whereas the trapdoor polynomial has low degree in order to sign messages by finding polynomial roots in an extension field via Berlekamp's algorithm. This work has been submitted to NIST's Post-Quantum Cryptography challenge (PQC) and code is available at https://github.com/kub0x/MPKC-HPPC

Metadata
Available format(s)
PDF
Category
Attacks and cryptanalysis
Publication info
Preprint.
Keywords
multivariate public key cryptographympkcdigital signaturepublic keyquadratic equationsHFE
Contact author(s)
borja gomez @ develrox com
History
2023-06-06: revised
2023-06-04: received
See all versions
Short URL
https://ia.cr/2023/830
License
Creative Commons Attribution
CC BY

BibTeX

@misc{cryptoeprint:2023/830,
      author = {Borja Gomez Rodriguez},
      title = {HPPC: Hidden Product of Polynomial Composition},
      howpublished = {Cryptology ePrint Archive, Paper 2023/830},
      year = {2023},
      note = {\url{https://eprint.iacr.org/2023/830}},
      url = {https://eprint.iacr.org/2023/830}
}
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