@article{Arpasi_2022, title={On Symmetric Channels and Codes Over the Quaternion Group}, volume={37}, url={https://jcis.sbrt.org.br/jcis/article/view/755}, DOI={10.14209/jcis.2022.15}, abstractNote={<p>In this paper we study symmetric channels and group codes over the quaternion group Q<sub>8</sub>. We show that, related to these channels, there is the number C<sub>Q8</sub><sub>,</sub> called group-capacity, which is less or equal than the capacity of the channel. Also we show that C<sub>Q8 </sub>is an upper bound for the rate of any reliable quaternion group code. Finally we show that the group-capacity equals the channel capacity.</p>}, number={1}, journal={Journal of Communication and Information Systems}, author={Arpasi, Jorge P}, year={2022}, month={Jul.}, pages={140–144} }