Publications related to On Small Degree Extension Fields in Cryptology

On the Function Field Sieve and the Impact of Higher Splitting Probabilities: Application to Discrete Logarithms in $\mathbb{F}_{2^{1971}}$ and $\mathbb{F}_{2^{3164}}$

In this paper we propose a binary field variant of the Joux-Lercier medium-sized Function Field Sieve, which results not only in complexities as low as

L_{q^n}(1/3,(4/9)1/3)

for computing arbitrary logarithms, but also in an heuristic polynomial time alg ...

Springer Berlin Heidelberg2013

On the Cryptanalysis of Public-Key Cryptography

Joppe Willem Bos

Nowadays, the most popular public-key cryptosystems are based on either the integer factorization or the discrete logarithm problem. The feasibility of solving these mathematical problems in practice is studied and techniques are presented to speed-up the ...

EPFL2012

Statistical and Algebraic Cryptanalysis of Lightweight and Ultra-Lightweight Symmetric Primitives

Pouyan Sepehrdad

Symmetric cryptographic primitives such as block and stream ciphers are the building blocks in many cryptographic protocols. Having such blocks which provide provable security against various types of attacks is often hard. On the other hand, if possible, ...

EPFL2012

Multi-terminal Secrecy in a Linear Non-coherent Packetized Networks

Christina Fragouli, Mahdi Jafari Siavoshani

We consider a group of m+1 trusted nodes that aim to create a shared secret key K over a network in the presence of a passive eavesdropper, Eve. We assume a linear non-coherent network coding broadcast channel (over a finite field F_q ) from one of the hon ...

2012

Multi-terminal Secrecy in a Linear Non-coherent Packetized Networks

Christina Fragouli, Mahdi Jafari Siavoshani

We consider a group of m+1 trusted nodes that aim to create a shared secret key K over a network in the presence of a passive eavesdropper, Eve. We assume a linear non-coherent network coding broadcast channel (over a ﬁnite ﬁeld F_q ) from one of the hones ...

2012

Efficient Fail-Stop Signatures from the Factoring Assumption

Khaled Ouafi, Atefeh Mashatan

In this paper, we revisit the construction of fail-stop signatures from the factoring assumption. These signatures were originally proposed to provide information-theoretic-based security against forgeries. In contrast to classical signature schemes, in wh ...

Springer2011

Cryptographic Hash Functions in Groups and Provable Properties

Juraj Sarinay

We consider several "provably secure" hash functions that compute simple sums in a well chosen group (G,*). Security properties of such functions provably translate in a natural way to computational problems in G that are simple to define and possibly also ...

EPFL2011

Adaptive Message Authentication for Multi-Hop Networks

Jean-Yves Le Boudec, Jean-Pierre Hubaux, Nikodin Ristanovic, Panagiotis Papadimitratos, Georgios Theodorakopoulos

Recent benchmarks indicate that the use of public key cryptography results in non negligible verification times on platforms with limited processing power. In this paper, we focus on multi-hop Inter-Vehicle Communication and show that the increase in messa ...

2011

Efficient and side-channel-aware implementations of elliptic curve cryptosystems over prime fields

Yusuf Leblebici

Elliptic curve cryptosystems (ECCs) are utilised as an alternative to traditional public-key cryptosystems, and are more suitable for resource-limited environments because of smaller parameter size. In this study, the authors carry out a thorough investiga ...

2010

Faster Squaring in the Cyclotomic Subgroup of Sixth Degree Extensions

Robert Granger

This paper describes an extremely efficient squaring operation in the so-called ‘cyclotomic subgroup’ of

\mathbb{F}_{q^6}

, for

q \equiv 1 \bmod{6}

. Our result arises from considering the Weil restriction of scalars of this group from

\mathbb{F}_{q^6}

...

Springer Berlin Heidelberg2010

On Small Degree Extension Fields in Cryptology

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On the Function Field Sieve and the Impact of Higher Splitting Probabilities: Application to Discrete Logarithms in $\mathbb{F}_{2^{1971}}$ and $\mathbb{F}_{2^{3164}}$

On the Cryptanalysis of Public-Key Cryptography

Statistical and Algebraic Cryptanalysis of Lightweight and Ultra-Lightweight Symmetric Primitives

Multi-terminal Secrecy in a Linear Non-coherent Packetized Networks

Multi-terminal Secrecy in a Linear Non-coherent Packetized Networks

Efficient Fail-Stop Signatures from the Factoring Assumption

Cryptographic Hash Functions in Groups and Provable Properties

Adaptive Message Authentication for Multi-Hop Networks

Efficient and side-channel-aware implementations of elliptic curve cryptosystems over prime fields

Faster Squaring in the Cyclotomic Subgroup of Sixth Degree Extensions

Multi-terminal Secrecy in a Linear Non-coherent Packetized Networks

On the Cryptanalysis of Public-Key Cryptography

Efficient and side-channel-aware implementations of elliptic curve cryptosystems over prime fields

Statistical and Algebraic Cryptanalysis of Lightweight and Ultra-Lightweight Symmetric Primitives

Multi-terminal Secrecy in a Linear Non-coherent Packetized Networks

Cryptographic Hash Functions in Groups and Provable Properties

Efficient Fail-Stop Signatures from the Factoring Assumption

Faster Squaring in the Cyclotomic Subgroup of Sixth Degree Extensions

Adaptive Message Authentication for Multi-Hop Networks

On the Function Field Sieve and the Impact of Higher Splitting Probabilities: Application to Discrete Logarithms in $\mathbb{F}_{2^{1971}}$ and $\mathbb{F}_{2^{3164}}$