TY - GEN
T1 - Multivariate Public Key Cryptosystem from Sidon Spaces
AU - Raviv, Netanel
AU - Langton, Ben
AU - Tamo, Itzhak
N1 - Publisher Copyright:
© 2021, International Association for Cryptologic Research.
PY - 2021/1/1
Y1 - 2021/1/1
N2 - A Sidon space is a subspace of an extension field over a base field in which the product of any two elements can be factored uniquely, up to constants. This paper proposes a new a public-key cryptosystem of the multivariate type which is based on Sidon spaces, and has the potential to remain secure even if quantum supremacy is attained. This system, whose security relies on the hardness of the well-known MinRank problem, is shown to be resilient to several straightforward algebraic attacks. In particular, it is proved that the two popular attacks on the MinRank problem, the kernel attack and the minor attack, succeed only with exponentially small probability. The system is implemented in software, and its hardness is demonstrated experimentally.
AB - A Sidon space is a subspace of an extension field over a base field in which the product of any two elements can be factored uniquely, up to constants. This paper proposes a new a public-key cryptosystem of the multivariate type which is based on Sidon spaces, and has the potential to remain secure even if quantum supremacy is attained. This system, whose security relies on the hardness of the well-known MinRank problem, is shown to be resilient to several straightforward algebraic attacks. In particular, it is proved that the two popular attacks on the MinRank problem, the kernel attack and the minor attack, succeed only with exponentially small probability. The system is implemented in software, and its hardness is demonstrated experimentally.
KW - MinRank problem
KW - Multivariate public key cryptosystem
KW - Sidon spaces
UR - http://www.scopus.com/inward/record.url?scp=85106424358&partnerID=8YFLogxK
U2 - 10.1007/978-3-030-75245-3_10
DO - 10.1007/978-3-030-75245-3_10
M3 - Conference contribution
AN - SCOPUS:85106424358
SN - 9783030752446
T3 - Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
SP - 242
EP - 265
BT - Public-Key Cryptography – PKC 2021 - 24th IACR International Conference on Practice and Theory of Public Key Cryptography, 2021, Proceedings
A2 - Garay, Juan A.
PB - Springer Science and Business Media Deutschland GmbH
T2 - 24th IACR International Conference on Practice and Theory of Public Key Cryptography, PKC 2021
Y2 - 10 May 2021 through 13 May 2021
ER -