Generalized Mattson - Solomon Transformations and Weight Spectra of Primitive Cyclic Codes

This paper is a continuation of ref. 4. Firstly, a trial is made to introduce a more general type Mattson-Solomon transformation, by replacing in by an arbitrary power prime to . However, it turns out readily that such a change is equivalent to choosing a different primitive root of unity in the original M.S. transformation. In the final sections a number of examples is studied how to apply the M.S. transformation to determine the weight of the code words of a minimal cyclic code. In order to apply this method to a general case more knowledge is required about the nature of the zeros of the so-called modified cyclonomials.