International Journal of Mathematics and Mathematical Sciences
Volume 12 (1989), Issue 1, Pages 193-198
doi:10.1155/S0161171289000232

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

Abstract

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.