Secure and Efficient Architectures for Single Exponentiations in Finite Fields Suitable for High-Performance Cryptographic Applications

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cryptography, double-hybrid multiplier, exponentiation, Gaussian normal basis (GNB), high-performance, security

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High performance implementation of single exponentiation in finite field is crucial for cryptographic applications such as those used in embedded systems and industrial networks. In this paper, we propose a new architecture for performing single exponentiations in binary finite fields. For the first time, we employ a digit-level hybrid-double multiplier proposed by Azarderakhsh and Reyhani-Masoleh for computing exponentiations based on square-and-multiply scheme. In our structure, the computations for squaring and multiplication are uniform and independent of the Hamming weight of the exponent; considered to have built-in resistance against simple power analysis attacks. The presented structure reduces the latency of exponentiation in binary finite field considerably and thus can be utilized in applications exhibiting high-performance computations including sensitive and constrained ones in embedded systems used in industrial setups and networks.

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IEEE Transactions on Computer-Aided Design of Integrated Circuits and Systems, v. 34, issue 3, p. 332-340