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In this paper, we present a fast Fourier transform algorithm over extension binary fields, where the polynomial is represented in a non-standard basis. The proposed Fourier-like transform requires $\mathcal {O}(h\lg (h))$ field operations, where $h$ is the number of evaluation points. Based on the proposed Fourier-like algorithm, we then develop the encoding/decoding algorithms for $(n=2^{m},k)$ ...
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