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Abstract: In the sparse polynomial multiplication problem, one is asked to multiply two sparse polynomials f and g in time that is proportional to the size of the input plus the size of the output.

Abstract: 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 ...

X_t = \sum_{j=0}^\infty \psi_j W_{t-j}, $$ write the coefficients in terms of the parameters $\phi_1,\phi_2,\ldots,\phi_p$. As stated in the theorem on existence and ...