Dissertation > Excellent graduate degree dissertation topics show

Fast Algorithm Research on Scalar Decomposition of Elliptic Curve Cryptography

Author: HongYinFang
Tutor: DingYong
School: Guilin University of Electronic Science and Technology
Course: Applied Mathematics
Keywords: Elliptic Curve Cryptography Scalar multiplication Dual - radix system Slightest computing Torquay Joint Sparse shape
CLC: TN918.1
Type: Master's thesis
Year: 2010
Downloads: 26
Quote: 0
Read: Download Dissertation

Abstract


Elliptic Curve Cryptography (ECC) public key cryptography in 1985 by Koblitz and Miller independently proposed in recent years , because it has short key length , high safety performance advantages , has been widely used in the field of cryptography . Scalar multiplication is a basic elliptic curve cryptosystem , the most time-consuming operation , scalar decomposition is the core problem of scalar multiplication . based on the results of previous studies , mainly as thinking . First, based on proposed by KWWong et al . double base , said binding the Extended DBNS thought, a new double-base scalar k , i.e. shaped like d ( 1 / 2 ) A3b the double base representation , where d is a given set of integers . the need to store a certain expected numerical results show that followed with other efficient algorithm , the algorithm in order to increase a small amount of the expected operator is stored as the price , effectively reducing the chain length of the scalar multiplication calculation complexity and double base . , using the idea of multi - group represents the extension of our earlier proposed method , a new scalar representation and the corresponding scalar multiplication. experimental results show that our algorithm obtained multi- yl shorter chain length , thereby accelerating elliptic curve cryptosystem efficiency. Finally, the joint sparse form the the Frobenius scalar k adjacent two coefficients , a new scalar representation results show that our approach uses a small amount of storage reduce the computational complexity of the algorithm to improve the efficiency of the elliptic curve cryptosystem .

Related Dissertations

  1. Application of electronic elections identity-based blind signature scheme,TN918.1
  2. Research and Implementation of Elliptic Curve Cryptography over GF(2~233 ),TN918.1
  3. Design of Secure E-mail System Based on Encryption,TP393.098
  4. The Reserch on Efficient Divisible E-Cash Based on ECC,TP393.09
  5. Research on Technology of Application Specific Instruction and Reconfigurable Unit of Elliptic Curve Cryptography Coprocessor Design,TN918.2
  6. Authentication and Key Management Based on CPK,TN918.1
  7. ECC Based on Fast Digital Signature and Its Implememtation,TN918.1
  8. Research on Parallel Schedule of Scalar Multiplication of Elliptic Curve Cryptography,TN918.1
  9. Research of Double Matrix Combined Public Key Algorithm and Application,TN918.1
  10. The Research and Application Based on Elliptic Curve Cryptosystems,TN918.1
  11. The Fast Implementation of Elliptic Curve Cryptgraphy Scalar Multiplication,TN918.1
  12. ECC-based group key management scheme for MANET research,TN918.82
  13. Threshold Authentication Schemes Based on the Elliptic Curve for Mobile Ad hoc Network,TN918
  14. VLSI Implementation of ECC Scalar Multiplication and Research on Power Analysis Attack,TN918.1
  15. Research and Implementation of Authentication Implied Key Agreement Scheme on WSNs,TN918.82
  16. The Study of Digital Signature Based on Elliptic Curve Cryptography,TN918.1
  17. The Application of RSA Algorithmin the ATMC Platform,TN918.4
  18. Research on Elliptic Curve Scalar Multiplication Fast and Secure,TN918.1
  19. Combination of public key cryptosystem key management center Research and Implementation,TP393.08
  20. The Design and Implementation of Security E-mail System Based on CPK,TP393.098
  21. Design of Military Trusted Terminal Based on Trusted Platform Module Author’s Name： Hongwei Yuan Speciality： Information Security Supervisor： Prof. Yugui Qu Finished Time: May 8, 2010,TP309

CLC: > Industrial Technology > Radio electronics, telecommunications technology > Communicate > Confidentiality of communications and communications security > Theory
© 2012 www.DissertationTopic.Net  Mobile