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The time of executing a modular exponentiation in group.
Texp: The time of executing a modular exponentiation operation.
(T_{hbox {e}} =) The time of executing a modular exponentiation in group.
For convenience to analyze the performance of our proposed dynamic GKE protocol, we first define the following notations: Texp: The time of executing a modular exponentiation operation.
Other than these changes, the metasystem remains precisely the same (including the security token format, message flow, etc).. Table 1 shows the computational load imposed by the scheme on each system party, where denotes a modular exponentiation with respect to a fixed base, denotes a modular multiplication, and denotes a modular exponentiation to a variable base.
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Multiplication is the key operation in implementing circuits for cryptosystem, as the process of encrypting and decrypting a message requires modular exponentiation which can be decomposed into multiplications.
Modular exponentiation is a frequent task, in particular for many cryptographic applications.
Apparently, a parallel GPU implementation of modular exponentiation will trivialize the computation complexity of the proposed technique.
Together with Montgomery powering ladder, a fast, compact and symmetric modular exponentiation architecture is proposed for hardware implementation.
We show how cryptographic protocols using Diffie–Hellman primitives, i.e., modular exponentiation on a fixed generator, can be encoded in Horn clauses modulo associativity and commutativity.
Modular exponentiation is an important operation in several public-key cryptosystems.
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