Paper 2010/114 Original: eprint.iacr.org/2010/114 ↗

The Discrete Logarithm Problem Modulo One: Cryptanalysing the Ariffin--Abu cryptosystem

Simon R. Blackburn
Abstract

The paper provides a cryptanalysis the $AA_\beta$-cryptosystem recently proposed by Ariffin and Abu. The scheme is in essence a key agreement scheme whose security is based on a discrete logarithm problem in the infinite (additive) group $\mathbb{R}/\mathbb{Z}$ (the reals modulo $1$). The paper breaks the $AA_\beta$-cryptosystem (in a passive adversary model) by showing that this discrete logarithm problem can be efficiently solved in practice.

Metadata
Available format(s)
PDF
Category
Public-key cryptography
Publication info
Preprint.
History
2010-04-27: last updated
2010-03-04: published
Short URL
https://ia.cr/2010/114
License
https://creativecommons.org/licenses/by/4.0/

BibTeX

@misc{cryptoeprint:2010/114,
      author = {Simon R.  Blackburn},
      title = {The Discrete Logarithm Problem Modulo One: Cryptanalysing the Ariffin--Abu cryptosystem},
      howpublished = {Cryptology {ePrint} Archive, Paper 2010/114},
      year = {2010},
      url = {https://eprint.iacr.org/2010/114}
}
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