Randomized Cunningham Numbers in Cryptography: Randomization theory, Cryptanalysis, RSA cryptosystem, Primality testing, Cunningham numbers, Optimization theory - Softcover
Synopsis
In this research, we study primality testing of arbitrary integers via number theory, randomized algorithms and optimization theories. Concerning fundamentals of modern cryptography, we focus on the cryptanalysis, cryptosystems and RSA keys, which are widely used in secure communications, e.g., banking systems and other platforms with an online security. For a given n-bit integer N, our consideration is realized as a decision problem, viz. an optimized algorithm rendering the output YES, if N is a prime, and NO otherwise. In order to design such an algorithm, we begin by examining essential ingredients from the number theory, namely, divisibility, modular arithmetic, integer representations, distributions of primes, primality testing algorithms, greatest common divisor, least common multiplication, pseudoprimes, Np-hard discrete logarithm problem, residues and others. Hereby, we give special attention to the congruence relations, Chinese remainder theorem and Fermat's little theorem towards the optimal primality testing of an integer. Finally, we anticipate optimized characterizations of Cunningham numbers in the light of randomization theory and their applications to cryptography.
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Randomized Cunningham Numbers in Cryptography
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Randomized Cunningham Numbers in Cryptography
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ISBN 10: 613985847X
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Taschenbuch. Condition: Neu. This item is printed on demand - Print on Demand Titel. Neuware -In this research, we study primality testing of arbitrary integers via number theory, randomized algorithms and optimization theories. Concerning fundamentals of modern cryptography, we focus on the cryptanalysis, cryptosystems and RSA keys, which are widely used in secure communications, e.g., banking systems and other platforms with an online security. For a given n-bit integer N, our consideration is realized as a decision problem, viz. an optimized algorithm rendering the output YES, if N is a prime, and NO otherwise. In order to design such an algorithm, we begin by examining essential ingredients from the number theory, namely, divisibility, modular arithmetic, integer representations, distributions of primes, primality testing algorithms, greatest common divisor, least common multiplication, pseudoprimes, Np-hard discrete logarithm problem, residues and others. Hereby, we give special attention to the congruence relations, Chinese remainder theorem and Fermat's little theorem towards the optimal primality testing of an integer. Finally, we anticipate optimized characterizations of Cunningham numbers in the light of randomization theory and their applications to cryptography.VDM Verlag, Dudweiler Landstraße 99, 66123 Saarbrücken 144 pp. Englisch. Seller Inventory # 9786139858477
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Randomized Cunningham Numbers in Cryptography : Randomization theory, Cryptanalysis, RSA cryptosystem, Primality testing, Cunningham numbers, Optimization theory
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LAP LAMBERT Academic Publishing, 2018
ISBN 10: 613985847X
ISBN 13: 9786139858477
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Taschenbuch. Condition: Neu. nach der Bestellung gedruckt Neuware - Printed after ordering - In this research, we study primality testing of arbitrary integers via number theory, randomized algorithms and optimization theories. Concerning fundamentals of modern cryptography, we focus on the cryptanalysis, cryptosystems and RSA keys, which are widely used in secure communications, e.g., banking systems and other platforms with an online security. For a given n-bit integer N, our consideration is realized as a decision problem, viz. an optimized algorithm rendering the output YES, if N is a prime, and NO otherwise. In order to design such an algorithm, we begin by examining essential ingredients from the number theory, namely, divisibility, modular arithmetic, integer representations, distributions of primes, primality testing algorithms, greatest common divisor, least common multiplication, pseudoprimes, Np-hard discrete logarithm problem, residues and others. Hereby, we give special attention to the congruence relations, Chinese remainder theorem and Fermat's little theorem towards the optimal primality testing of an integer. Finally, we anticipate optimized characterizations of Cunningham numbers in the light of randomization theory and their applications to cryptography. Seller Inventory # 9786139858477
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Randomized Cunningham Numbers in Cryptography | Randomization theory, Cryptanalysis, RSA cryptosystem, Primality testing, Cunningham numbers, Optimization theory
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ISBN 13: 9786139858477
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Taschenbuch. Condition: Neu. Randomized Cunningham Numbers in Cryptography | Randomization theory, Cryptanalysis, RSA cryptosystem, Primality testing, Cunningham numbers, Optimization theory | Bhupendra Nath Tiwari (u. a.) | Taschenbuch | 144 S. | Englisch | 2018 | LAP LAMBERT Academic Publishing | EAN 9786139858477 | Verantwortliche Person für die EU: BoD - Books on Demand, In de Tarpen 42, 22848 Norderstedt, info[at]bod[dot]de | Anbieter: preigu. Seller Inventory # 115310647
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