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  1. How to share a secret: Commun. ACM, Vol. 22, No. 11. (November 1979), pp. 612-613.

    Source: Commun. ACM, Vol. 22, No. 11. (November 1979), pp. 612-613.

  2. Two Remarks on Public-Key Cryptology: (2000)e key in previous epochs. In 1997 I proposed the obvious extension to digital signatures, in order to prevent the retrospective forgery of messages signed using keys belonging to earlier epochs but without requiring that the public key infrastructure accommodate large numbers of time-limited public keys. As motivation, note that while Di#e-Hellman key exchange [6] can provide forward security easily in interactive communication, the US Defense Messaging System (DMS) apparently uses transient...

    Source: (2000)

  3. MAC Reforgeability: (10 Mar 2006)Message Authentication Codes (MACs) are central algorithms deployed in virtually every security protocol in common usage. In these protocols, the integrity and authenticity of messages rely entirely on the security of the MAC; we examine cases in which this security is lost. In this paper, we examine the notion of reforgeability for MACs. We first give a definition for this new notion, then examine some of the most widely-used and well-known MACs under our definition. We show that for each of these MACs there exists an attack that allows efficient forgeries after the first one is obtained, and we show that simply making these schemes stateful is usually insufficient. For those schemes where adding state is effective, we go one step further to examine how counter misuse affects the security of the MAC, finding, in many cases, simply repeating a single counter value yields complete insecurity. These issues motivated the design of a new scheme, WMAC, which has a number of desirable properties. It is as efficient as the fastest MACs, resists counter misuse, and has tags which may be truncated to the desired length without affecting security (currently, the fastest MACs do not have this property), making it resistant to reforging attacks and arguably the best MAC for constrained environments.

    Source: (10 Mar 2006)

  4. Slid Pairs in Salsa20 and Trivium: (23 Sep 2008)The stream ciphers Salsa20 and Trivium are two of the finalists of the eSTREAM project which are in the final portfolio of new promising stream ciphers. In this paper we show that initialization and key-stream generation of these ciphers is , i.e. one can find distinct (Key, IV) pairs that produce identical (or closely related) key-streams. There are $2^256$ and more then $2^39$ such pairs in Salsa20 and Trivium respectively. We write out and solve the non-linear equations which describe such related (Key, IV) pairs. This allows us to sample the space of such related pairs efficiently as well as detect such pairs in large portions of key-stream very efficiently. We show that Salsa20 does not have 256-bit security if one considers general birthday and related key distinguishing and key-recovery attacks.

    Source: (23 Sep 2008)

  5. Merkle Puzzles are Optimal: (23 Jan 2008)We prove that every key exchange protocol in the random oracle model in which the honest users make at most n queries to the oracle can be broken by an adversary making O(n^2) queries to the oracle. This improves on the previous Omega(n^6) query attack given by Impagliazzo and Rudich (STOC '89). Our bound is optimal up to a constant factor since Merkle (CACM '78) gave an n query key exchange protocol in this model that cannot be broken by an adversary making o(n^2) queries.

    Source: (23 Jan 2008)

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