Paper 2019/929 Original: eprint.iacr.org/2019/929 ↗

On the Degree-Insensitive SI-GDH problem and assumption

Samuel Dobson
Steven D. Galbraith
Abstract

Fujioka, Takashima, Terada and Yoneyama, in their 2018 work on an authenticated key exchange protocol using supersingular isogenies, use new assumptions in their security proof of the scheme. In particular, they define the degree-sensitive and degree-insensitive SI-GDH assumptions and problems. These assumptions include a decision oracle that is used in the security proofs. We give evidence that those assumptions are not well defined. Hence, the security proofs in their paper do not seem to be correct.

Metadata
Available format(s)
PDF
Category
Public-key cryptography
Publication info
Preprint.
History
2019-08-18: last updated
2019-08-18: published
Short URL
https://ia.cr/2019/929
License
https://creativecommons.org/licenses/by/4.0/

BibTeX

@misc{cryptoeprint:2019/929,
      author = {Samuel Dobson and Steven D.  Galbraith},
      title = {On the Degree-Insensitive SI-GDH problem and assumption},
      howpublished = {Cryptology {ePrint} Archive, Paper 2019/929},
      year = {2019},
      url = {https://eprint.iacr.org/2019/929}
}
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