Weight Enumerators of Convolutional Codes, Tail-biting Codes and Their Duals
JØrn Justesen
Abstract
The weight enumerators of convolutional codes and their tail-biting version may be derived from the finite state description.We present a generating function for the sequence of weight enumerators of these codes, and show that generating functions of dual codes satisfy a MacWilliams identity.The weights of the finite state description of the dual codes may be found by a transform.