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Currently, the best known algorithm for factorizing mod-ulus of the RSA public key cryptosystem is the Number Field Sieve. One of its important phases usually combines a sieving technique and a method for checking smoothness of mid-size numbers. For this factorization, the Elliptic Curve Method (ECM) is an attractive solution. As ECM is highly regular and… (More)

In this last decade, Elliptic Curve Cryptography (ECC) has gained increasing acceptance in the industry and the academic community and has been the subject of several standards. This interest is mainly due to the high level of security with relatively small keys provided by ECC. Indeed, no sub-exponential algorithms are known to solve the underlying hard… (More)

For the last decade, Elliptic Curve Cryptography (ECC) has gained increasing acceptance in the industry and the academic community and has been the subject of several standards. This interest is mainly due to the high level of security with relatively small keys provided by ECC. To sustain the high throughput required by applications like network servers,… (More)

Allowing good performances on different platforms is an important criteria for the selection of the future sha-3 standard. In this paper, we consider the compact implementations of blake, Grøstl, jh, Keccak and Skein on recent fpga devices. Our results bring an interesting complement to existing analyzes, as most previous works on fpga implementations of… (More)

— Modular multiplication and inversion/division are the most common primitives in today's public key cryptography. Elliptic Curve Public Key Cryptosystems (ECPKC) are becoming increasingly popular for use in mobile appliances where band-width and chip area are strongly constrained. For the same level of security, ECPKC use much smaller key length than the… (More)

Elliptic Curve Public Key Cryptosystems (ECPKC) are becoming increasingly popular for use in mobile appliances where band-width and chip area are strongly constrained. For the same level of security , ECPKC use much smaller key length than the commonly used RSA. The underlying operation of affine coordinates elliptic curve point multiplication requires… (More)

This paper proposes different low-cost coprocessors for public key authentication on 8-bit smart cards. Elliptic curve cryptography is used for its efficiency per bit of key and the Elliptic Curve Digital Signature Algorithm is chosen. For this functionality, an area constrained copro-cessor is probably the best approach to perform the most… (More)

This work explores a hardware design alternative and a cost assessment of an FPGA-based brute force attack against the challenge RC5-72. The aim is to develop an alternative to software-based solutions for distributed.net. Hardware platforms, particularly reconfigurable hardware, can offer significant cost, flexibility and performance advantages , while… (More)

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