P. Fleischmann, CONNECTIONS BETWEEN THE ALGORITHMS OF BERLEKAMP AND NIEDERREITER FOR FACTORING POLYNOMIALS OVER F(Q), Linear algebra and its applications, 192, 1993, pp. 101-108
In this paper we determine an explicit isomorphism between the solutio
n spaces of Berlekamp's and Niederreiter's algorithm for factoring pol
ynomials over finite fields. This can be used for the implementation o
f a procedure combining the benefits of both methods.