Cryptanalysis of the Public-Key Encryption Based on Braid Groups

At CRYPTO 2000, a new public-key encryption based on braid groups was introduced. This paper demonstrates how to solve its underlying problem using the Burau representation. By this method, we show that the private-key can be recovered from the public-key for several parameters with significant probability in a reasonable time. Our attack can be mounted directly on the revised scheme mentioned at ASIACRYPT 2001 as well. On the other hand, we give a new requirement for secure parameters against our attack, which more or less conflicts with that against brute force attack. Key words: Cryptanalysis, Public-key encryption, Braid group, Burau representation.

• Type: Conference
• Year: 2003
• Where: EUROCRYPT
• Authors: Eonkyung Lee, Je Hong Park
• Keywords: Braid Group, Burau Representation, Cryptography, EUROCRYPT 2003, Public-key Encryption