The Kraft inequality for EPS systems
Chinthani Uduwerelle, Terence Chan, Siu‐Wai Ho · 2013
It is a well known result that the Kraft inequality is a necessary and sufficient condition for the existence of a uniquely decodable code. This paper provides an inequality which is a counterpart of the Kraft inequality in Error free Perfect Secrecy (EPS) system. Our inequality is a necessary and sufficient condition for the existence of an EPS system. It also illustrates some necessary and sufficient conditions for an EPS system to achieve the minimal expected key consumption.