A course in number theory and cryptography
A course in number theory and cryptography
Addition chains using continued fractions
Journal of Algorithms
The art of computer programming, volume 2 (3rd ed.): seminumerical algorithms
The art of computer programming, volume 2 (3rd ed.): seminumerical algorithms
A method for obtaining digital signatures and public-key cryptosystems
Communications of the ACM
CRYPTO '89 Proceedings of the 9th Annual International Cryptology Conference on Advances in Cryptology
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This paper studies the safe wireless communication of controlling instructions in system of aids to navigation. RSA based authentication algorithm is employed, and Euclid addition chains are used to compute the modular exponentiation of RSA, transforming the shortest addition chains of a large number e into those of three smaller numbers a, b and c, which meets e=a×b+c. Experiment results show that the Euclid addition chains need much less time and space to create. In the case of wireless communication with authentication, controlling instructions can be transmitted safely and accurately, and it is hard for malicious users to control the intelligent lights directly. This is of great significance for navigation trades.