The Security of Abreast-DM in the Ideal Cipher Model

Abstract. In this paper, we give a security proof for Abreast-DM in terms of collision resistance and preimage resistance. As old as Tandem-DM, the compression function Abreast-DM is one of the most well-known constructions for double block length compression functions. The bounds on the number of queries for collision resistance and preimage resistance are given by O (2n ). Based on a novel technique using query-response cycles, our security proof is simpler than those for MDC-2 and Tandem-DM. We also present a wide class of Abreast-DM variants that enjoy a birthday-type security guarantee with a simple proof.

• Type: Journal
• Year: 2011
• Where: IEICET
• Authors: Jooyoung Lee, Daesung Kwon
• Keywords: Collision Resistance, IEICET 2011, Information Technology, Preimage Resistance, Security Proof