DocumentCode
3512690
Title
Elliptic Curve Scalar Multiplication Based on Fibonacci Number
Author
Ning Zhang ; Shichong Tan
Author_Institution
Nat. Key Lab. of ISN, Xidian Univ., Xi´an, China
fYear
2013
fDate
9-11 Sept. 2013
Firstpage
507
Lastpage
510
Abstract
The paper presents a series algorithms of Elliptic curve scalar multiplication based on Fibonacci numbers. The double free addition chain is used to develop new scalar multiplication. Zeckendorf and Pell representation is analyzed and used to construct scalar multiplication. We analyzed the efficiency and the security to power analysis, it shows that with sophisticated designation, double free method can both have efficiency and security.
Keywords
matrix multiplication; public key cryptography; Fibonacci number; Pell representation; Zeckendorf representation; double free addition chain; elliptic curve scalar multiplication; power analysis; Algorithm design and analysis; Elliptic curve cryptography; Elliptic curves; Smart cards; ECC; Efficiency; Fibonacci; Pell; Scalar Multiplication; Security;
fLanguage
English
Publisher
ieee
Conference_Titel
Intelligent Networking and Collaborative Systems (INCoS), 2013 5th International Conference on
Conference_Location
Xi´an
Type
conf
DOI
10.1109/INCoS.2013.157
Filename
6630465
Link To Document