Information Theory and Coding Theory

On Existence of Fixed Convolutional Codes of Rate $2/c$ for $c\ge 4$ that Attain the Costello Bound

K. Sh. Zigangirov, V. V. Chepyzhov


Abstract: We establish lower bounds for the weights of codewords generated by fixed convolutional codes of rate $R=2/c$ with $c\ge 4$. The bounds are derived for three types of input sequences. The results imply the existence of fixed convolutional codes of rate $2/c$ whose free distance $d_{\rm free}$ asymptotically achieves the Costello bound.

UDC: 621.391.15

Received: 08.01.1990

 English version: Problems of Information Transmission, 1991, 27:3, 199–211

Bibliographic databases:

• 
•