NDLI: Augmented Addition Operation of Conic Curves over Ring Zn

Content Provider	IEEE Xplore Digital Library
Author	Li Guo-jing Wen Tao
Copyright Year	2009
Abstract	In the recent research of conic curve cryptology, all rational points over Ring Zn could be expressed as Cn(a,b)=C1$cup$C2$cup$C3$cup$O. By for now, in the addition of conic curves over Zn, all points on the curves are expressed by the form of (x,y) as the determinant condition. Then, the points belonging to C1,C2,Cn,O are computed and the results are discussed respectively. As a consequence too much cost is spent during the calculation. In mobile environment, more attention is paid to cut down the signature execution cost. How to make the signature more efficient is thus more important. The paper reconsiders the addition operation on conic curves over ring Zn as to reduce the amount of calculation. In the progress of the proposed addition operation, the value of (x, y) doesn’t need to be computed and all points could be expressed by parameter t. As a result, the computational cost is reduced.
Starting Page	745
Ending Page	748
File Size	238551
Page Count	4
File Format	PDF
ISBN	9780769537443
DOI	10.1109/IAS.2009.240
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2009-08-18
Publisher Place	China
Access Restriction	Subscribed
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Zinc Costs Public key cryptography Information science Educational institutions Sun Equations Information security Computational efficiency Public key Public Key Cryptology Conic Curve Addition Operation Sun Tzu Theorem
Content Type	Text
Resource Type	Article

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