Cryptology ePrint Archive: Report 2008/514

Noncommutative Polly Cracker-type cryptosystems and chosen-ciphertext security

Tapan Rai and Stanislav Bulygin

Abstract: In this paper we consider chosen-ciphertext attacks against noncommutative Polly Cracker-type cryptosystems. We present several versions of these attacks, as well as techniques to counter them. First we introduce a chosen-ciphertext attack, which assumes a very simple private key. We then present generalizations of this attack which are valid in more general situations, and propose a simple but effective technique to counter these attacks. Finally, we show how this technique can also be used to counter the adaptive chosen-ciphertext attacks against noncommutative Polly Cracker-type cryptosystems.

Category / Keywords: public-key cryptography / Chosen-ciphertext attacks, noncommutative Polly Cracker cryptosystems, polynomial-based cryptography, security, Gr\"obner basis cryptosystems

Date: received 4 Dec 2008

Contact author: bulygin at mathematik uni-kl de

Available format(s): Postscript (PS) | Compressed Postscript (PS.GZ) | PDF | BibTeX Citation

Version: 20081209:072708 (All versions of this report)

Discussion forum: Show discussion | Start new discussion


[ Cryptology ePrint archive ]