Design and Construction of Lightweight Semi Involutory Matrices Based on the Recursive Structures and Binary Sparse Matrices
matrices are one of the most important components in designing block ciphers. Based on the hardware terminologies, the acceptable speed of the implementation of matrix and its inverse is one of the main features of matrix for structures. In this paper, a new type of binary block matrices called semi involutory is used such that the cost of implementation of these matrices and their inverses are equal. At first, by using binary linear functions over binary sparse matrices, a semi involutory matrix is proposed so that the cost of implementation of the proposed matrix is bitwise for bit input. The structure of proposed matrix and its inverse are based on the structures, so they have suitable implementation from hardware point of view. Next, a semi involutory matrix is proposed by applying structures such that the proposed matrix is implemented with the bitwise for bit input. The proposed semi involutory matrix is the major result, since the best known result in the implementation of a semi involutory matrix for 8 bit input, based on the heuristic algorithm, is bitwise while bitwise was obtained in this research. Moreover, the proposed matrix is implemented with for bit input by applying suitable binary sparse matrices.
Journal of Passive Defence Science and Technology, Volume:10 Issue:4, 2020
407 - 417
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