Equivalent irreducible Goppa codes and the precise number of quintic Goppa codes of length 32

@article{Ryan2007EquivalentIG,
  title={Equivalent irreducible Goppa codes and the precise number of quintic Goppa codes of length 32},
  author={J. A. Ryan and Kondwani Magamba},
  journal={AFRICON 2007},
  year={2007},
  pages={1-4}
}
In this paper, by defining an irreducible Goppa code in terms of a single field element, we give a simple proof of the well known result, namely that if one irreducible Goppa polynomial can be transformed into another by a combination of an affine map and a Frobenius automorphism, then the corresponding codes are equivalent. We give the details of the proof… CONTINUE READING