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Hardware and Software Normal Basis Arithmetic for Pairing Based Cryptography in Characteristic Three

Related publications (34)

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Nanophotonic technologies for single-photon devices

Laurent Balet, Francesco Marsili, Alessandro Gaggero

The progress in nanofabrication has made possible the realization of optic nanodevices able to handle single photons and to exploit the quantum nature of single-photon states. In particular, quantum cryptography (or more precisely quantum key distribution, ...

2010

Neutrality-Based Symmetric Cryptanalysis

Shahram Khazaei

Cryptographic primitives are the basic components of any cryptographic tool. Block ciphers, stream ciphers and hash functions are the fundamental primitives of symmetric cryptography. In symmetric cryptography, the communicating parties perform essentially ...

EPFL2010

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

GossiCrypt: Wireless Sensor Network Data Confidentiality Against Parasitic Adversaries

Jean-Pierre Hubaux, Panagiotis Papadimitratos, Jun Luo

Abstract—Resource and cost constraints remain a challenge for wireless sensor network security. In this paper, we propose a new approach to protect confidentiality against a parasitic adversary, which seeks to exploit sensor networks by obtaining measureme ...

2008

Cryptosystems and LLL

Thomas Baignères

Since the late 70’s, several public key cryptographic algorithms have been proposed. Diﬃe and Hellman ﬁrst came with this concept in 1976. Since that time, several other public key cryptosystems were invented, such as the well known RSA, ElGamal or Rabin c ...

2006

On Small Degree Extension Fields in Cryptology

Robert Granger

This thesis studies the implications of using public key cryptographic primitives that are based in, or map to, the multiplicative group of finite fields with small extension degree. A central observation is that the multiplicative group of extension field ...

PhD dissertation, University of Bristol, UK, February 20062006

Practical Cryptography in High Dimensional Tori

Robert Granger, Martijn Stam

At Crypto 2004, van Dijk and Woodruff introduced a new way of using the algebraic tori

T_n

in cryptography, and obtained an asymptotically optimal

n/\phi(n)

savings in bandwidth and storage for a number of cryptographic applications. However, the compu ...

Springer Berlin Heidelberg2005

Statistical cryptanalysis of block ciphers

Pascal Junod

Since the development of cryptology in the industrial and academic worlds in the seventies, public knowledge and expertise have grown in a tremendous way, notably because of the increasing, nowadays almost ubiquitous, presence of electronic communication m ...

EPFL2005

On Bluetooth repairing: key agreement based on symmetric-key cryptography

Serge Vaudenay

Despite many good (secure) key agreement protocols based on public-key cryptography exist, secure associations between two wireless devices are often established using symmetric-key cryptography for cost reasons. The consequence is that common daily used s ...

2005

Secure and Privacy-Preserving Communication in Hybrid Ad Hoc Networks

Jean-Pierre Hubaux, Srdan Capkun

We present a scheme for secure and privacy-preserving communication in hybrid ad hoc networks. Our scheme enables users to secure communication and to protect their anonymity and location privacy. Our approach is based on frequently changing node pseudonym ...

2004

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

Practical Cryptography in High Dimensional Tori

Robert Granger, Martijn Stam

At Crypto 2004, van Dijk and Woodruff introduced a new way of using the algebraic tori

T_n

in cryptography, and obtained an asymptotically optimal

n/\phi(n)

savings in bandwidth and storage for a number of cryptographic applications. However, the compu ...

Springer Berlin Heidelberg2005