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Research and Implementation of RSA Cipher Algorithm

Author: HuJun
Tutor: ZhouJianQin
School: Anhui University of
Course: Applied Computer Technology
Keywords: Cryptography Encryption algorithm RSA algorithm Euclid algorithm Extended Euclid algorithm
CLC: TN918.1
Type: Master's thesis
Year: 2011
Downloads: 216
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Abstract


With the rapid development of the communications and related industries , the security of the information in the communication process is more important , and the password is the key to ensure the security of the information technology . Increasingly high demand for mobile technology on the rise in recent years , the password system resource , the password system not just concerned about how much of the security and operational efficiency , password system resource evaluation is also a cryptosystem bad important factor. RSA is a public key cryptosystem was proposed in 1978 by Rivest, Shamir and Adleman , because it can be used to encrypt can be used for digital signatures, coupled with good security , RSA to become one of the most popular public key cryptography system . However, the slow speed of operation of the RSA algorithm , take up more resources become a bottleneck restricting it to further promote . Therefore , improvement of the RSA algorithm to improve the efficiency of its operation and reduce its occupied resources is an important research direction in cryptography . Implement algorithms for the RSA public-key cryptosystem , in-depth study on the part of the sub - algorithm improvements , an RSA -based communication system on the basis of previous work . This paper is as follows : to understand the principle and security of public key RSA cryptosystem , the RSA public-key cryptosystem key algorithm , large integer modular multiplication arithmetic and modular exponentiation depth explored . Improved the key RSA cryptosystem algorithm , an improved algorithm improved its extended Euclid algorithm in IEEE P1363 . Improved algorithm to eliminate the negative numbers in the extended Euclid algorithm to reduce the complexity of the RSA program , is conducive to the application of RSA in resource-constrained systems . Based on the above work , with VC RSA cryptosystem based on a simple communication system . System on the storage of large numbers with decimal form , that byte as a unit , each unit maximum storage . This form of storage , both to facilitate the realization and understanding of the RSA algorithm , storage efficiency to meet the needs of general application .

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CLC: > Industrial Technology > Radio electronics, telecommunications technology > Communicate > Confidentiality of communications and communications security > Theory
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