Cryptanalysing variants of Stickel’s key agreement scheme.

*(English)*Zbl 1211.94033Summary: Stickel’s key agreement scheme was successfully cryptanalysed by V. Shpilrain [in: Computer science — theory and applications. Third international computer science symposium in Russia, CSR 2008 Moscow, Russia, June 7–12, 2008. Proceedings. Lect. Notes Comput. Sci. 5010, 283–288 (2008; Zbl 1142.94360)] when GL(\(n, q)\) is used as a platform. Shpilrain suggested the algebra of all (not necessarily invertible) \(n \times n\) matrices defined over some finite ring \(R\) would make a more secure platform. He also suggested a more general method of generating keys, involving polynomials of matrices over \(R\). When \(R = \mathbb F_q\), we show that these variants of Stickel’s scheme are susceptible to a linear algebra attack. We discuss other natural candidates for \(R\), and conclude that until a suitable ring is proposed, the variant schemes may be considered insecure.

##### MSC:

94A60 | Cryptography |

Full Text:
DOI

##### References:

[1] | DOI: 10.1006/jsco.1996.0125 · Zbl 0898.68039 |

This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.