*06:17* [Pub][ePrint]
Stam\'s Conjecture and Threshold Phenomena in Collision Resistance, by John Steinberger, Xiaoming Sun, Zhe Yang
At CRYPTO 2008 Stam conjectured that if an $(m\\!+\\!s)$-bit to $s$-bit compression function $F$ makes $r$ calls to a primitive $f$

of $n$-bit input, then a collision for $F$ can be obtained (with high

probability) using $r2^{(nr-m)/(r+1)}$ queries to $f$, which is sometimes

less than the birthday bound. Steinberger (Eurocrypt 2010) proved Stam\'s

conjecture up to a constant multiplicative factor for most cases in

which $r = 1$ and for certain other cases that reduce to the case

$r = 1$. In this paper we prove the general case of Stam\'s conjecture

(also up to a constant multiplicative factor). Our result is

qualitatively different from Steinberger\'s, moreover, as we show the

following novel threshold phenomenon: that exponentially many (more

exactly, $2^{s-2(m-n)/(r+1)}$) collisions are obtained with high

probability after $O(1)r2^{(nr-m)/(r+1)}$ queries. This in particular

shows that threshold phenomena observed in practical compression

functions such as JH are, in fact, unavoidable for compression

functions with those parameters. (This is the full version of the

same-titled article that appeared at CRYPTO 2012.)

*21:17* [Pub][ePrint]
Long Term Confidentiality: a Survey, by Johannes Braun, Johannes Buchmann, Ciaran Mullan, and Alex Wiesmaier
Sensitive electronic data may be required to remain confidential for long periods of time. Yet encryption under a computationally secure cryptosystem cannot provide a guarantee of long term confidentiality, due to potential advances in computing power or cryptanalysis. Long term confidentiality is ensured by information theoretically secure ciphers, but at the expense of impractical key agreement and key management. We overview known methods to alleviate these problems, whilst retaining some form of information theoretic security relevant for long term confidentiality.

*21:17* [Pub][ePrint]
Tweakable Blockciphers with Beyond Birthday-Bound Security, by Will Landecker and Thomas Shrimpton and R. Seth Terashima
Liskov, Rivest and Wagner formalized the tweakable blockcipher (TBC) primitive at CRYPTO\'02. The typical recipe for instantiating a TBC is to start with a blockcipher, and then build up a construction that admits a tweak. Almost all such constructions enjoy provable security only to the birthday bound, and the one that does achieve security beyond the birthday bound (due to Minematsu) severely restricts the tweak size and requires per-invocation blockcipher rekeying.This paper gives the first TBC construction that simultaneously allows for arbitrarily \"wide\" tweaks, does not rekey, and delivers provable security beyond the birthday bound. Our construction is built from a blockcipher and an $\\eAXU$ hash function.

As an application of the TBC primitive, LRW suggest the TBC-MAC construction (similar to CBC-MAC but chaining through the tweak), but leave open the question of its security. We close this question, both for TBC-MAC as a PRF and a MAC. Along the way, we find a nonce-based variant of TBC-MAC that has a tight reduction to the security of the underlying TBC, and also displays graceful security degradation when nonces are misused. This result is interesting on its own, but it also serves as an application of our new TBC construction, ultimately giving a variable input-length PRF with beyond birthday-bound security.

*07:14* [Conf][CHES]
invited speakers announced
CHES 2012 will feature 2 invited talks
Steven Murdoch

University of Cambridge, UK

Title: "Banking Security: Attacks and Defences"

Christof Tarnovsky

Flylogic Engineering

Title: TBD

*15:17* [Pub][ePrint]
Improved CRT Algorithm for Class Polynomials in Genus 2, by Kristin Lauter and Damien Robert
We present a generalization to genus 2 of the probabilisticalgorithm in Sutherland~\\cite{Sutherland} for computing Hilbert class polynomial˻s. The improvement over the algorithm presented

in~\\cite{BGL} for the genus 2 case, is that we do not need to find a

curve in the isogeny class with endomorphism ring which is the maximal

order: rather we present a probabilistic algorithm for ``going up\'\' to a {\\it

maximal} curve (a curve with maximal endomorphism ring), once we find {\\it

any} curve in the right isogeny class. Then we use the structure of the

Shimura class group and the computation of $(\\ell,\\ell)$-isogenies to

compute all isogenous maximal curves from an initial one.

*15:17* [Pub][ePrint]
Differential Fault Analysis of AES: Towards Reaching its Limits, by Sk Subidh Ali , Debdeep Mukhopadhyay, and Michael Tunstall
In this paper we present a theoretical analysis of the limitsof the Differential Fault Analysis (DFA) of AES by developing an inter

relationship between conventional cryptanalysis of AES and DFAs. We

show that the existing attacks have not reached these limits and present techniques to reach these. More specifically, we propose optimal DFA on states of AES-128 and AES-256. We also propose attacks on the key schedule of the three versions of AES, and demonstrate that these are some of the most efficient attacks on AES to date. Our attack on AES-128 key schedule is optimal, and the attacks on AES-192 and AES-256 key schedule are very close to optimal. Detailed experimental results have been provided for the developed attacks. The work has been compared to other works and also the optimal limits of Differential Fault Analysis of AES.

*15:17* [Pub][ePrint]
Multi-receiver Homomorphic Authentication Codes for Network Coding, by Zhaohui Tang, and Hoon Wei Lim
We investigate a new class of authenticate codes (A-codes) that support verificationby a group of message recipients in the network coding setting. That is, a sender generates an

A-code over a message such that any intermediate node or recipient can check the authenticity

of the message, typically to detect pollution attacks. We call such an A-code as multi-receiver

homomorphic A-code (MRHA-code). In this paper, we first formally define an MRHA-code.

We then derive some lower bounds on the security parameters and key sizes associated with our

MRHA-codes. Moreover, we give efficient constructions of MRHA-code schemes that can be used

to mitigate pollution attacks on network codes. Unlike prior works on computationally secure

homomorphic signatures and MACs for network coding, our MRHA-codes achieve unconditional

security.