Minimum cyclotomic coset representatives and their applications to BCH codes and Goppa codes
G.L. Feng, Dian‐Wu Yue · IEEE Transactions on Information Theory · 2000
We consider the minimum cyclotomic coset representatives and derive some of their properties. The results allow more precise estimates of the dimension of Bose-Chaudhuri-Hocquenghem (BCH) and classical Goppa codes of a given designed minimum distance, and more precise estimates of the true designed distance of BCH codes and the minimum distance of classical Goppa codes.