@inproceedings{f73d0424b1b644c3bc36c0626df43541,
title = "Extension Field Cancellation: A new central trapdoor for multivariate quadratic systems",
abstract = "This paper introduces a new central trapdoor for multivariate quadratic (MQ) public-key cryptosystems that allows for encryption, in contrast to time-tested MQ primitives such as Unbalanced Oil and Vinegar or Hidden Field Equations which only allow for signatures. Our construction is a mixed-field scheme that exploits the commutativity of the extension field to dramatically reduce the complexity of the extension field polynomial implicitly present in the public key. However, this reduction can only be performed by the user who knows concise descriptions of two simple polynomials, which constitute the private key. After applying this transformation, the plaintext can be recovered by solving a linear system. We use the minus and projection modifiers to inoculate our scheme against known attacks. A straightforward C++ implementation confirms the efficient operation of the public key algorithms.",
keywords = "Encryption, Mixed-field, MQ, Multivariate, Postquantum, Public-key, Quadratic, Trapdoor",
author = "Alan Szepieniec and Jintai Ding and Bart Preneel",
note = "Publisher Copyright: {\textcopyright} Springer International Publishing Switzerland 2016.; 7th International Workshop on Post-Quantum Cryptography, PQCrypto 2016 ; Conference date: 24-02-2016 Through 26-02-2016",
year = "2016",
doi = "10.1007/978-3-319-29360-8_12",
language = "English",
isbn = "9783319293592",
series = "Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)",
publisher = "Springer Verlag",
pages = "182--196",
editor = "Tsuyoshi Takagi",
booktitle = "Post-Quantum Cryptography - 7th International Workshop, PQCrypto 2016, Proceedings",
}