Abstract. The Montgomery multiplication is often used for an efficient implementations of public-key cryptosystems. This algorithm occasionally needs an extra subtraction in the final step, and the correlation of these subtractions can be considered as an invariant of the algorithm. Some side channel attacks on cryptosystems using Montgomery Multiplication has been proposed applying the correlation estimated heuristically. In this paper, we theoretically analyze the properties of the final subtraction in Montgomery multiplication. We investigate the distribution of the outputs of multiplications in the fixed length interval included between 0 and the underlying modulus. Integrating these distributions, we present some proofs with a reasonab...
Most implementations of the modular exponentiation, ME mod N, computation in cryptographic algorithm...
In the 1980s, Peter Montgomery developed a powerful, fast algorithm for calculating multiples of fie...
Abstract. Classical formulae for point additions and point doublings on elliptic curves differ. This...
The Montgomery multiplication is commonly used as the core algorithm for cryptosystems based on modu...
: Since the 1990s, side channel attacks have challenged the security level of cryptographic algorith...
Multiplicative inversion in finite fields is an essential operation in many cryptographic applicatio...
Modular inversions are widely employed in public key crypto-systems, and it is known that they imply...
IEEE Abstract—This paper proposes two improved interleaved modular multiplication algorithms based o...
International audienceThree decades ago, Montgomery introduced a new elliptic curve model for use in...
This paper proposes novel algorithms for computing double- size modular multiplications with few mod...
Modular arithmetic over integers is required for many cryptography systems. Montgomeryreduction is a...
This paper proposes two improved interleaved modular multiplication algorithms based on Barrett and ...
In this study, the authors give a generalisation of special moduli for faster interleaved Montgomery...
The Montgomery multiplication is an efficient method for modular arithmetic. Typically, it is used f...
Abstract. We present a new side-channel attack path threatening state-of-the-art protected implement...
Most implementations of the modular exponentiation, ME mod N, computation in cryptographic algorithm...
In the 1980s, Peter Montgomery developed a powerful, fast algorithm for calculating multiples of fie...
Abstract. Classical formulae for point additions and point doublings on elliptic curves differ. This...
The Montgomery multiplication is commonly used as the core algorithm for cryptosystems based on modu...
: Since the 1990s, side channel attacks have challenged the security level of cryptographic algorith...
Multiplicative inversion in finite fields is an essential operation in many cryptographic applicatio...
Modular inversions are widely employed in public key crypto-systems, and it is known that they imply...
IEEE Abstract—This paper proposes two improved interleaved modular multiplication algorithms based o...
International audienceThree decades ago, Montgomery introduced a new elliptic curve model for use in...
This paper proposes novel algorithms for computing double- size modular multiplications with few mod...
Modular arithmetic over integers is required for many cryptography systems. Montgomeryreduction is a...
This paper proposes two improved interleaved modular multiplication algorithms based on Barrett and ...
In this study, the authors give a generalisation of special moduli for faster interleaved Montgomery...
The Montgomery multiplication is an efficient method for modular arithmetic. Typically, it is used f...
Abstract. We present a new side-channel attack path threatening state-of-the-art protected implement...
Most implementations of the modular exponentiation, ME mod N, computation in cryptographic algorithm...
In the 1980s, Peter Montgomery developed a powerful, fast algorithm for calculating multiples of fie...
Abstract. Classical formulae for point additions and point doublings on elliptic curves differ. This...
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