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Titlebook: Cryptographic Hardware and Embedded Systems - CHES 2004; 6th International Wo Marc Joye,Jean-Jacques Quisquater Conference proceedings 2004

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Low-Power Elliptic Curve Cryptography Using Scaled Modular Arithmeticnique may be used to improve multiplication and inversion in finite fields. We present an efficient inversion algorithm that utilizes the structure of scaled modulus. Our inversion algorithm exhibits superior performance to the Euclidean algorithm and lends itself to efficient hardware implementatio
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Comparing Elliptic Curve Cryptography and RSA on 8-bit CPUs We revisited this statement and implemented elliptic curve point multiplication for 160-bit, 192-bit, and 224-bit NIST/SECG curves over GF(p) and RSA-1024 and RSA-2048 on two 8-bit microcontrollers. To accelerate multiple-precision multiplication, we propose a new algorithm to reduce the number of
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Aspects of Hyperelliptic Curves over Large Prime Fields in Software Implementationshe different types of groups, we developed an ad-hoc arithmetic library, designed to remove most of the overheads that penalize implementations of curve-based cryptography over prime fields. These overheads get worse for smaller fields, and thus for larger genera for a fixed group size. We also use
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Enhancing Collision Attackse timing or power consumption) in addition to traditional techniques. Consequently block ciphers must now resist a variety of SCAs, among which figures the class of “collision attacks”. This recent technique combines side channel information with tools originally developed for block cipher or hash f
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Simple Power Analysis of Unified Code for ECC Double and Addnt multiplication by using simple power analysis (SPA) to observe the different times for the component point operations. Under the usual binary exponentiation algorithm, the deduced presence or absence of a point addition indicates a 1 or 0 respectively in the secret key, thus revealing the key in
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Side-Channel Attacks in ECC: A General Technique for Varying the Parametrization of the Elliptic Curt of computing . where . is a positive integer and . is a point on the elliptic curve .. Implementations of the binary algorithm may reveal whether .+. is computed for . or .=. as the case may be. Several methods of dealing with this problem have been suggested. Here we describe a general technique
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