A novel method for computation of the discrete Fourier transform over   characteristic two finite field of even extension degree
  A novel method for computation of the discrete Fourier transform over a finite field with reduced multiplicative complexity is described. If the number of multiplications is to be minimized, then the novel method for the finite field of even extension degree is the best known method of the discrete Fourier transform computation. A constructive method of constructing for a cyclic convolution over a finite field is introduced. 
Sergei V. Fedorenko
cs.IT math.IT