Error Detection With a Class of Irreducible Binary Cyclic Codes and Their Dual Codes
Rossitza Dodunekova, O. Rabaste, J. L. V. Paez · IEEE Transactions on Information Theory · 2005
The irreducible binary cyclic codes of even dimension, introduced by Delsarte and Goethals in 1970, constitute a parametric class with three parameters. We show that these codes and their duals are either proper or not good for error detection.