A new subclass of cyclic Goppa codes

作者：Bezzateev S V^*; Shekhunova N A

来源：Problems of Information Transmission, 2013, 49(4): 348-353.

DOI：10.1134/S0032946013040054

We propose a subclass of cyclic Goppa codes given by separable self-reciprocal Goppa polynomials of degree two. We prove that this subclass contains all reversible cyclic codes of length n, n | (q (m) +/- 1), with a generator polynomial g(x), g(alpha (+/- i) ) = 0, i = 0, 1, alpha (n) = 1, alpha a GF(q (2m) ).

• 出版日期2013-10