Mathematics of Computation
A fast modular-multiplication module for smart cards
AUSCRYPT '90 Proceedings of the international conference on cryptology on Advances in cryptology
Exponentiating faster with addition chains
EUROCRYPT '90 Proceedings of the workshop on the theory and application of cryptographic techniques on Advances in cryptology
IEEE Transactions on Computers
The art of computer programming, volume 2 (3rd ed.): seminumerical algorithms
The art of computer programming, volume 2 (3rd ed.): seminumerical algorithms
Computer Arithmetic: Principles, Architecture and Design
Computer Arithmetic: Principles, Architecture and Design
Systolic Modular Multiplication
CRYPTO '90 Proceedings of the 10th Annual International Cryptology Conference on Advances in Cryptology
CRYPTO '89 Proceedings of the 9th Annual International Cryptology Conference on Advances in Cryptology
More Flexible Exponentiation with Precomputation
CRYPTO '94 Proceedings of the 14th Annual International Cryptology Conference on Advances in Cryptology
Fast Key Exchange with Elliptic Curve Systems
CRYPTO '95 Proceedings of the 15th Annual International Cryptology Conference on Advances in Cryptology
Efficient batch verification for RSA-Type digital signatures in a ubiquitous environment
EUC'06 Proceedings of the 2006 international conference on Embedded and Ubiquitous Computing
Thinking inside the BLAC box: smarter protocols for faster anonymous blacklisting
Proceedings of the 12th ACM workshop on Workshop on privacy in the electronic society
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Addition chains or sequences can be usecd to reduce the amount of multiplications to accomplish an exponentiation at the cost of more memory required. We examine known methods of exponentiations based on addition sequences and derive the parameters determining operation count and number of required registers for storing intermediate results. As a result an improved method is proposed to choose window distributions as a basis for using known addition sequence heuristics.