Determining Speed and Reliability of Transmitting Indicator Information in Residual Class Systems

The article is devoted to the analysis and assessment of the efficiency of fiber optic systems whose primary objective is to transmit data. The efficiency of information transmission systems depends on numerous indicators, such as interference immunity, speed, energy efficiency, cost, development time, and design. However, from the user's point of view, quality of service is determined primarily by transmission speed and reliability. This article compares two systems. The first corresponds to the modern paradigm: one user - one transmission channel. In the other, the number of users is provided with a complex channel for transmitting symbols of the alphabet of a certain system of residual classes. At the same time, the transmission speed in the residual class system - compared to the classical multiplexing method - decreases slightly to 28/32, while the reliability (determined based on the probability of failures) increases by several orders of magnitude. The work proves a lemma that determining the optimal alphabets of residual class systems allows to optimally approximate the transmission speed of modules to binary coding systems. An analysis of the non-linear loss function, which considers the speed parameters and probabilistic reliability indicators, is performed as well.