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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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 ...

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 ...

Methods similar to this go back thousands of years, at least to the ancient Sumerians and Egyptians. But is this really the best way to multiply two big numbers together? Around 1956, the famous ...

Mathematicians have reportedly discovered a new way of multiplying two numbers together. The new technique is for really large numbers, and if it passes a peer-review, could be the fastest possible ...

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 ...