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2008•Journal of Anhui University of Science and TechnologyRequires access

Research on Large Integer Multiplication Based on Knuth and Karatsuba Multiplication

Tao Li

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Abstract

Algorithms in cryptosystem such as RSA and Diffie-Hellman require large integer multiplication.In the paper Knuth classical multiplication,Karatsuba multiplication and their time complexity were presented,on the basis of which a new large integer multiplication trick was put forward and proved available in theory and practice.The experiment showed that the improved multiplication algorithm is more efficient in implementation of large integer multiplication.

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What this paper is about

Algorithms in cryptosystem such as RSA and Diffie-Hellman require large integer multiplication.In the paper Knuth classical multiplication,Karatsuba multiplication and their time complexity were presented,on the basis of which a new large integer multiplication trick was put forward and proved available in theory and practice.The experiment showed that the improved multiplication algorithm is more efficient in implementation of large integer multiplication.

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Available abstract

Algorithms in cryptosystem such as RSA and Diffie-Hellman require large integer multiplication.In the paper Knuth classical multiplication,Karatsuba multiplication and their time complexity were presented,on the basis of which a new large integer multiplication trick was put forward and proved available in theory and practice.The experiment showed that the improved multiplication algorithm is more efficient in implementation of large integer multiplication.

Key concepts: Multiplication (music), Multiplication algorithm, Integer (computer science), Cryptosystem, Arithmetic, Mathematics, Basis (linear algebra), Computer science

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