Abstract
In this paper we introduce the two-modular Fourier transform of a binary function f : R → R defined over a finite commutative ring R = F 2 [X]/ϕ(X), where F 2 [X] is the ring of polynomials with binary coefficients and ϕ(X) is a polynomial of degree n, which is not a multiple of X. We also introduce the corresponding inverse Fourier transform. We then prove the corresponding convolution theorem.
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