Abstract: This paper presents a novel FPGA based method to implement a repeated squared-and-multiply algorithm in polynomial rings. The repeated square-and-multiply algorithm for exponentiation is ...

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In 1971, German mathematicians Schönhage and Strassen predicted a faster algorithm for multiplying large numbers, but it ...

Abstract: L3 Cache timing attack is recently proposed as a new type of Cache timing attacks. In this paper we implement this new ideal on the DSA and demonstrate that the DSA is also vulnerable to L3 ...

The square-and-multiply algorithm is a widely used technique for efficient exponentiation, especially in cryptographic applications. While the algorithm offers a general-purpose solution with ...

We give new algorithms for the computation of square roots and reciprocals of power series in C║x║ If M(n) denotes the cost of multiplying polynomials of degree n, the square root to order n costs ...