The multiplications of common multiplicands and exponentiations of large integers with a large modulus are the primary computation operations in several well-known public key cryp...
A common-multiplicand method to the Montgomery algorithm makes an improvement in speed when the right-to-left binary exponentiation is applied. The idea is that the same common pa...
This paper describes a modular exponentiation processing method and circuit architecture that can exhibit the maximum performance of FPGA resources. The modular exponentiation arch...
Efficient algorithms are known for many operations on truncated power series (multiplication, powering, exponential, . . . ). Composition is a more complex task. We isolate a larg...
Abstract— Modular reduction is a fundamental operation in cryptographic systems. Most well known modular reduction methods including Barrett’s and Montgomery’s algorithms lev...