On Symmetric Channels and Codes Over the Quaternion Group
In this paper we study symmetric channels and group codes over the quaternion group Q8. We show that, related to these channels, there is the number CQ8, called group-capacity, which is less or equal than the capacity of the channel. Also we show that CQ8 is an upper bound for the rate of any reliable quaternion group code. Finally we show that the group-capacity equals the channel capacity.
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