International Journal of Mathematics and Mathematical Sciences
Volume 12 (1989), Issue 1, Pages 193-198

On coding theorem connected with ‘useful’ entropy of order-β

Priti Jain and R. K. Tuteja

Department of Mathematics, Maharshi Dayanand University, Rohtak 124001, India

Received 31 July 1986

Copyright © 1989 Priti Jain and R. K. Tuteja. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


Guiasu and Picard [1] introduced the mean length for ‘useful’ codes. They called this length as the ‘useful’ mean length. Longo [2] has proved a noiseless coding theorem for this ‘useful’ mean length. In this paper we will give two generalizations of ‘useful’ mean length. After then the noiseless coding theorems are proved using these two generalizations.