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Modular exponentiation is a frequent task, in particular for many cryptographic applications.
Generally, modular exponentiation is implemented using a chain of modular multiplications.
Modular exponentiation is an important operation in several public-key cryptosystems.
Meanwhile, due to the symmetric architecture and Montgomery powering ladder, the modular exponentiation is immune from fault and simple power attacks.
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Modular multiplication and modular exponentiation are fundamental operations in most public-key cryptosystems such as RSA.
Together with Montgomery powering ladder, a fast, compact and symmetric modular exponentiation architecture is proposed for hardware implementation.
In this paper we present an efficient Montgomery multiplier using the signed digit number representation suitable for modular exponentiation, which is the main operation of RSA.
In many problems, modular exponentiation |xb|m is a basic computation, often responsible for the overall time performance, as in some cryptosystems, since its implementation requires a large number of multiplications.
The computation of large modular multi-exponentiation is a time-consuming arithmetic operation used in cryptography.
They can be used as kernel architecture for modular exponentiations, which is very important operation in the most of public key cryptosystem.
As reported in[14], the modular inverse computation and modular exponentiation operation are the most time-consuming operations.
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