Cryptanalysis of Simple Matrix Scheme for Encryption

Gu Chunsheng

Paper 2016/1075

Cryptanalysis of Simple Matrix Scheme for Encryption

Gu Chunsheng

Abstract

Recently, Tao et al. presented a new simple and efficient multivariate pubic key encryption scheme based on matrix multiplica- tion, which is called Simple Matrix Scheme or ABC. Using linearization method, we propose a polynomial time algorithm, which directly solves an equivalent private key from the public key of ABC. Furthermore, our attack can also be applied to the variants of ABC since these variants have the same algebraic structure as the ABC scheme. Therefore, the ABC cryptosystem and its variants are insecure.

Metadata

Available format(s): PDF
Category: Public-key cryptography
Publication info: Preprint. MINOR revision.
Keywords: public key cryptography multivariate pubic key linearization attack cryptanalysis
Contact author(s): chunsheng_gu @ 163 com
History: 2017-11-30: revised; 2016-11-17: received; See all versions
Short URL: https://ia.cr/2016/1075
License: CC BY

BibTeX

@misc{cryptoeprint:2016/1075,
      author = {Gu Chunsheng},
      title = {Cryptanalysis of Simple Matrix Scheme for Encryption},
      howpublished = {Cryptology {ePrint} Archive, Paper 2016/1075},
      year = {2016},
      url = {https://eprint.iacr.org/2016/1075}
}