An alternative quantum algorithm for the discrete logarithm problem is presented. The algorithm uses two quantum registers and two Fourier transforms whereas Shor's algorithm requires three registers ...

- 📄 [ConvolutionFFT](src/main/java/com/thealgorithms/maths/ConvolutionFFT.java) - 📄 [CrossCorrelation](src/main/java/com/thealgorithms/maths/CrossCorrelation ...

The elliptic curve discrete logarithm problem (ECDLP) lies at the heart of modern public-key cryptography. It concerns the challenge of determining an unknown scalar multiplier given two points on an ...

College of Liberal Arts and Sciences, National University of Defense Technology, Changsha 410083, P. R. China School of Mathematics and Computational Science, Hunan University of Science and ...

Researchers have reached a new milestone in the annals of cryptography with the factoring of the largest RSA key size ever computed and a matching computation of the largest-ever integer discrete ...

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I study the speed with which finite Markov chains approach their stationary distribution. Recent work has focused on the analysis of two early birthday attacks on problems related to cryptography: ...

Logarithms and square root are non-elementary operations frequently used in digital signal processing. In this work, implementation and design of an IP-Core to compute square root and multibase ...