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Jia HOU Moon Ho LEE Ju Yong PARK
In this paper, we present a polynomial construction based on Jacket and Hadamard matrices over the Galois Field. The construction has two modes, one only includes matrices extension, and the other includes a center-weighted scheme for polynomial representations. Here, an "addition" scheme is used to represent matrices, which can lead to simple operations and convenient implementation of hardware.
Moon Ho LEE Ju Yong PARK Jia HOU
In this paper, we briefly describe a fast Jacket transform based on simple matrices factorization. The proposed algorithm needs fewer and simpler computations than that of the existing methods, which are RJ's [2], Lee's [7] and Yang's algorithm [8]. Therefore, it can be easily applied to develop the efficient fast algorithm for signal processing and data communications.