Applicable Algebra in Engineering, Communication and Computing

, Volume 17, Issue 3, pp 267–283

Polly Two : A New Algebraic Polynomial-based Public-Key Scheme

Article

DOI: 10.1007/s00200-006-0010-0

Cite this article as:
Van Ly, L. AAECC (2006) 17: 267. doi:10.1007/s00200-006-0010-0

Abstract

Since Fellows and Koblitz introduced the generic combinatorially algebraic public-key cryptosystem Polly Cracker in 1993, the question whether there exist secure and efficient instances of Polly Cracker remains unsettled. Namely, many of these schemes succumb to the Linear-Algebra Attacks by D. Naccache et al. and Lenstra. In this paper I present a public-key cryptoscheme Polly Two that is efficient and in some way a modified Polly-Cracker instance, but comprises techniques defending the linear-algebra attacks.

Keywords

Combinatorially algebraic public-key cryptoschemesPolly CrackerEnRootLinear-Algebra attacksSparse polynomialsSystem of algebraic equationsElimination ideals

Copyright information

© Springer-Verlag 2006

Authors and Affiliations

  1. 1.Bundesamt für Sicherheit in der Informationstechnik (BSI)BonnGermany