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Efficient Hardware Architectures For Public-Key Cryptosystems, Mohammadamin Saburruhmonfared
Efficient Hardware Architectures For Public-Key Cryptosystems, Mohammadamin Saburruhmonfared
Electronic Thesis and Dissertation Repository
Finite field arithmetic plays an essential role in public-key cryptography as all the underlying operations are performed in these fields. The finite fields are either prime fields or binary fields. Binary field elements can mainly be represented on a polynomial basis or a normal basis (NB). NB representation offers a simple squaring operation, especially in hardware. However, multiplication is typically complex, and a particular subset of NB called Gaussian Normal Basis (GNB) features an efficient multiplication operation used in this work. The first part of this thesis has focused on improving finite field arithmetic architectures over GNB. Among different arithmetic …
Performance Evaluation, Comparison And Improvement Of The Hardware Implementations Of The Advanced Encryption Standard S-Box, Doaa Ashmawy
Performance Evaluation, Comparison And Improvement Of The Hardware Implementations Of The Advanced Encryption Standard S-Box, Doaa Ashmawy
Electronic Thesis and Dissertation Repository
The Advanced Encryption Standard (AES) is the most popular algorithm used in symmetric key cryptography. The efficient computation of AES is essential for many computing platforms. The S-box is the only nonlinear transformation step of the AES algorithm. Efficient implementation of the AES S-box is very crucial for AES hardware. The AES S-box could be implemented by using look-up table method or by using finite field arithmetic. The finite field arithmetic design approach to implement the AES S-box is superior in saving the hardware resources. The main objective of this thesis is to evaluate, compare and improve the hardware implementations …