Solution: Take logarithms and use FFT. To deal with the floating points, we round them up to the closest integer. Now we analyze the error terms, a basic observation is, if we multiply the logarithms by BB before rounding up, the length of the FFT is also multiplied by BB, but the ...
Computing discrete logarithms takes time. It takes time to develop new algorithms, choose the best algorithms, implement these algorithms correctly and efficiently, keep the system running for several months, and, finally, publish the results. In this paper, we present a highly performant ...
Speeding up elliptic curve discrete logarithm computations with point halving Pollard rho method and its parallelized variants are at present known as the best generic algorithms for computing elliptic curve discrete logarithms. We p... F Zhang,W Ping - 《Designs Codes & Cryptography》 被引量: 20...
[Math Processing Error]Nth root and [Math Processing Error]Nth power computations are divided into three phases, and each phase is performed by a different class of the proposed modified radix-4 CORDIC algorithms in the proposed architecture. Although radix-4 CORDIC can converge faster with fewer...
2.1 Verifiable Computation A verifiable computation (VC) scheme is a tuple Π = (KeyGen, ProbGen, Compute, Verify) of four algorithms, where – (ek, dk, vk) ← KeyGen(1λ, f ) is a key generation algorithm that takes as input the security parameter λ and a function f and outputs ...
In the context of the computation of Feynman integrals, each of these classes of functions comes with its own advantages and drawbacks. The differential 1-forms used to set-up the hyperlogarithms can be defined by direct use of the polynomials, defining the singularities of the given integrand ...