Title :
Space/time trade-offs for higher radix modular multiplication using repeated addition
Author :
Walter, Colin D.
Author_Institution :
Comput. Dept., Univ. of Manchester Inst. of Sci. & Technol., UK
fDate :
2/1/1997 12:00:00 AM
Abstract :
The value of using a higher radix for modular multiplication in the context of RSA is investigated. The main conclusion is that for algorithms which perform the multiplication via repeated addition, there is, broadly speaking, a direct trade-off between space and time provided by change of radix. Thus chip area utilized is roughly proportional to speed. However, initially, as the radix is increased from 2, there is a short-lived increase in speed greater than the extra area used
Keywords :
cryptography; digital arithmetic; redundant number systems; RSA; chip area; higher radix modular multiplication; repeated addition; space/time trade-offs; Adders; Algorithm design and analysis; Arithmetic; Circuits; Clocks; Costs; Cryptography; Discrete Fourier transforms; Hardware; Heart;
Journal_Title :
Computers, IEEE Transactions on