MQ^*-IP: An Identity-based Identification Scheme without Number-theoretic  Assumptions

Christopher Wolf; Bart Preneel

Paper 2010/087 Original: eprint.iacr.org/2010/087 ↗

MQ^*-IP: An Identity-based Identification Scheme without Number-theoretic Assumptions

Christopher Wolf

Bart Preneel

Abstract

In this article, we propose an identification scheme which is based on the two combinatorial problems Multivariate Quadratic equations (MQ) and Isomorphism of Polynomials (IP). We show that this scheme is statistical zero-knowledge. Using a trapdoor for the MQ-problem, it is possible to make it also identity-based, i.e., there is no need for distributing public keys or for certificates within this scheme. The size of the public keys and the communication complexity\ are within the range of other non-number-theoretic identification schemes. In contrast to MQ^*-IP, these schemes do usually no permit identity-based public keys.

Metadata

Available format(s): PDF
Category: Public-key cryptography
Publication info: Preprint.
History: 2010-02-22: last updated; 2010-02-22: published
Short URL: https://ia.cr/2010/087
License: https://creativecommons.org/licenses/by/4.0/

BibTeX

@misc{cryptoeprint:2010/087,
      author = {Christopher Wolf and Bart Preneel},
      title = {MQ^*-IP: An Identity-based Identification Scheme without Number-theoretic  Assumptions},
      howpublished = {Cryptology {ePrint} Archive, Paper 2010/087},
      year = {2010},
      url = {https://eprint.iacr.org/2010/087}
}