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Recently, a novel decoding procedure which is called the syndrome-weight determination for the Golay code, or the (23, 12, 7) quadratic residue code, was proposed by Chang et al. This method is not only very simple in principle but also suitable for the parallel hardware design. Furthermore, to develop a universal decoding algorithm for arbitrary binary quadratic residue codes is very important. In...
The binary quadratic residue (QR) codes have nice distance property, but they are difficult to decode for the insufficient consecutive syndromes. The author used the Lagrange interpolation formula to calculate the needed primary unknown syndrome for the binary QR code. In this paper, we propose an efficient hardware architecture to implement this method, and decode the binary QR code by using the...
Realizing AES in hardware faces increasingly more stringent demands for low cost as well as resisting power attacks. For security consideration, countermeasure power analysis approaches to mask sensitive data are needed. The algebraic masking method to protect AES against power attacks is based on various representations of underlying finite fields. However, implementing the transfer matrices between...
In the Rijndael, one can replace some variations to produce different ciphers, including the irreducible polynomial, the affine transformation in the SubByte, the offsets in the ShiftRow, and the polynomial in the MixColumn, to increase the variety of the Advanced Encryption Standard (AES) algorithm. In this article we present three types of MixColumn polynomials that can be easily provided diversified...
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