System-level Non-interference for Constant-time Cryptography

International audienceCache-based attacks are a class of side-channel attacks that are particularly effective in virtualized or cloud-based en-vironments, where they have been used to recover secret keys from cryptographic implementations. One common ap-proach to thwart cache-based attacks is to use constant-time implementations, i.e. which do not branch on secrets and do not perform memory accesses that depend on secrets. How-ever, there is no rigorous proof that constant-time implemen-tations are protected against concurrent cache-attacks in virtualization platforms with shared cache; moreover, many prominent implementations are not constant-time. An alter-native approach is to rely on system-level mechanisms. One recent such mechanism is stealth memory, which provisions a small amount of private cache for programs to carry po-tentially leaking computations securely. Stealth memory in-duces a weak form of constant-time, called S-constant-time, which encompasses some widely used cryptographic imple-mentations. However, there is no rigorous analysis of stealth memory and S-constant-time, and no tool support for check-ing if applications are S-constant-time. We propose a new information-flow analysis that checks if an x86 application executes in constant-time, or in S-constant-time. Moreover, we prove that constant-time (resp. S-constant-time) programs do not leak confidential infor-mation through the cache to other operating systems exe-cuting concurrently on virtualization platforms (resp. plat-forms supporting stealth memory). The soundness proofs are based on new theorems of independent interest, includ-ing isolation theorems for virtualization platforms (resp. plat-forms supporting stealth memory), and proofs that constant-time implementations (resp. S-constant-time implementa-tions) are non-interfering with respect to a strict information flow policy which disallows that control flow and memory ac-cesses depend on secrets. We formalize our results using the Coq proof assistant and we demonstrate the effectiveness of our analyses on cryptographic implementations, including PolarSSL AES, DES and RC4, SHA256 and Salsa20

Cache Timing Analysis of RC4

Abstract. In this paper we present an attack that recovers the whole internal state of RC4 using a cache timing attack model first introduced in the cache timing attack of Osvik, Shamir and Tromer against some highly efficient AES implementations. In this model, the adversary can obtain some information related to the elements of a secret state used during the encryption process. Zenner formalized this model for LFSRbased stream ciphers. In this theoretical model inspired from practical attacks, we propose a new state recovery analysis on RC4 using a belief propagation algorithm. The algorithm works well and its soundness is proved for known or unknown plaintext and only requires that the attacker queries the RC4 encryption process byte by byte for a practical attack. Depending on the processor, our simulations show that we need between 300 to 1,300 keystream bytes and a computation time of less than a minute