Extension of Overbeck's Attack for Gabidulin Based Cryptosystems
Type
journal article
Date Issued
2018
Author(s)
Abstract
Cryptosystems based on codes in the rank metric were introduced in 1991 by Gabidulin, Paramanov, and Tretjakov (GPT) and have been studied as a promising alternative to cryptosystems based on codes in the Hamming metric. In particular, it was observed that the combinatorial solution for solving the rank analogy of the syndrome decoding problem appears significantly harder. Early proposals were often made with an underlying Gabidulin code structure. Gibson, in 1995, made a promising attack which was later extended by Overbeck in 2008 to cryptanalyze many of the systems in the literature. Improved systems were then designed to resist the attack of Overbeck and yet continue to use Gabidulin codes. In this paper, we generalize Overbeck’s attack to break the GPT cryptosystem for all possible parameter sets, and then extend the attack to cryptanalyze particular variants which explicitly resist the attack of Overbeck.
Language
English
HSG Classification
contribution to scientific community
HSG Profile Area
None
Refereed
Yes
Publisher
Springer
Volume
86
Number
2
Start page
319
End page
340
Subject(s)
Division(s)
Eprints ID
254790