Research into the cryptanalysis of RSA and modular equations has seen significant evolution in recent years. The RSA cryptosystem, long revered for its robust security based on the computational ...

Abstract: The story behind the Euclidean algorithm and its relationship to the solution of the Diophantine equation is examined in this article. The Euclidean algorithm appears in Proposition 2 in ...

The graph below shows the total number of publications each year in Arithmetic Geometry and p-Adic Differential Equations. References [1] Bessel F-isocrystals for reductive groups .

For hard-decision decoding the branch metric is the hamming distance; for soft-decision decoding, it can be the linear or Euclidean distance. The Euclidean distance for code rate, 1/C, is: which ...

This code utilizes the Woodbury identity to solve linear systems of equations on a quantum computer. At present, it currently supports a limited subset of the Woodbury identity. Using the notation ...

Code samples provide snippets of code that demonstrate to programmers how to code a specific algorithm. For secure coding purposes, examples could include writing a database query that is not ...

Practical: the students are offered to solve a heat and a wave equation using the method of separation of variables and a finite difference scheme. The Sturm-Liouville problem: a theoretical ...