  The field of information science has greatly developed, and applications in
various fields have emerged. In this paper, we evaluated the coding system in
the theory of Tsallis entropy for transmission of messages and aimed to
formulate the channel capacity by maximization of the Tsallis entropy within a
given condition of code length. As a result, we obtained a simple relational
expression between code length and code appearance probability and,
additionally, a generalized formula of the channel capacity on the basis of
Tsallis entropy statistics. This theoretical framework may contribute to data
processing techniques and other applications.
