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National Teaching Symposium on Cryptology and Information Security (NTSCIS 2010 E-BOOK)

Kunming,China,8.8-8.9，2010

ISBN: 978-1-935068-09-9 Scientific Research Publishing, USA

E-Book 469pp Pub. Date: August 2010

Category: Computer Science & Communications

Price: $80

Title: The RSA based on Gaussian integer domain
Source: National Teaching Symposium on Cryptology and Information Security (NTSCIS 2010 E-BOOK) (pp 224-226)
Author(s): Yongzheng Li, School of Computer Science, ,Civil Aviation Flight University of China
Yanling Li, School of Computer Science, ,Civil Aviation Flight University of China
Kaihong Lei, School of Computer Science, ,Civil Aviation Flight University of China
Abstract: In recent years, the burst of computer hardware has a great impact on cryptograph. So we should bedevoted to the researching of Encryption. Encryption includes two elements: arithmetic and key. Thearithmetic is used to combine plain-text with some numbers (key) to create cryptograph that no one willunderstand. The key is used to encode and decode message. The arithmetic is the kernel of Encryption. In thispaper, we study the RSA arithmetic and Gaussian integer ring, and discuss the multiplicative groups ofGaussian quotient ring especially. Then we do some further research of the prime elements of Gaussianinteger ring and the prime relationship of each other. Finally we apply it into RSA arithmetic, whichexpanded the proclaimed space of RSA arithmetic greatly and enhanced the security of RSA arithmeticgreatly.
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