Pocklingtons algorithm quadratic residue (2 Ergebnisse)

Taschenbuch. Zustand: Neu. Pocklington's Algorithm | Quadratic Residue, Prime Number, Modular Arithmetic, Number Theory, Algorithm | Lambert M. Surhone (u. a.) | Taschenbuch | Englisch | 2026 | OmniScriptum | EAN 9783639961010 | Verantwortliche Person für die EU: preigu GmbH & Co. KG, Lengericher Landstr. 19, 49078 Osnabrück, mail[at]preigu[dot]de | Anbieter: preigu Print on Demand.…

Taschenbuch. Zustand: Neu. nach der Bestellung gedruckt Neuware - Printed after ordering - Please note that the content of this book primarily consists of articlesavailable from Wikipedia or other free sources online. Pocklington'salgorithm is a technique for solving a congruence of the form x^2 equiva pmod p, , where x and a are integers and a is a quadratic residue. Thealgorithm is one of the first efficient methods to solve such acongruence. It was described by H.C. Pocklington in 1917. (Note: allequiv are taken to mean (mod p), unless indicated otherwise.) In numbertheory, an integer q is called a quadratic residue modulo n if it iscongruent to a perfect square (mod n); i.e., if there exists an integerx such that: {x^2}equiv {q} pmod{n}. Otherwise, q is called a quadraticnonresidue (mod n). Originally an abstract mathematical concept from thebranch of number theory known as modular arithmetic, quadratic residuesare now used in applications ranging from acoustical engineering tocryptography and the factoring of large numbers.…