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Based on the Chinese Remainder Theorem elliptic curve threshold group signature scheme

Author: HaoXiaoQin
Tutor: XuCiWen
School: Central University for Nationalities
Course: Basic mathematics
Keywords: Elliptic Curve Cryptography The finite domain beg modular inversion algorithm Chinese remainder theorem Threshold Group Signature
CLC: TN918.1
Type: Master's thesis
Year: 2011
Downloads: 25
Quote: 0
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Abstract


Elliptic Curve Cryptography (ECC) 1985 independently proposed by of N. Konlitz and V. Miller , its security is built above the difficulty of the elliptic curve discrete logarithm problem (ECDLP) . ECC advantage compared to other public-key cryptosystem : equal security strength requirements , the key length than other public key cryptosystems ( such as RSA, DSA) much shorter . Therefore ECC computation , processing speed , storage space occupied by small , low bandwidth requirements and compatibility features , making it gradually replace RSA is widely used in the fast encryption , key exchange , authentication , digital signatures and many other areas . . The digital signature is one of the primary means of certification , one of the main contents of modern cryptography . Its main function is to ensure the integrity of information transmission , the sender's identity authentication , to prevent the repudiation of the transaction . Elliptic curve signature scheme (ECDSA) has the advantages of fast , short key length , but also to provide a sufficient level of security , particularly suitable for wireless modem , the research and application of the Web server , the IC card , smart card . In this paper, elliptic curve cryptography based on elliptic curve encryption algorithm research , improve the extended Euclidean algorithm modulo the inverse of GF ( p ) ( p is a prime number ) and binary field greatly improved the efficiency of the algorithm running ; several algorithms programming using C language , and verify that the improved algorithm runs more efficient than existing algorithms . On this basis , the paper further Elliptic Curve Cryptography used in the field of digital signature . Chinese remainder theorem to split the group secret , making it necessary t or t more legitimate members together to refactoring group secret which represent groups to sign with the characteristics of threshold . Elliptic curve cryptography - based signature scheme can effectively resist the conspiracy attacks , in case of dispute , the group manager can easily determine the identity of the signer . The program based on the Chinese Remainder Theorem secret sharing scheme and the elliptic curve cryptosystem security can add and delete group members with safe and efficient features .

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