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Mixing a Covert and a Non-Covert User. (arXiv:2305.06268v2 [cs.IT] UPDATED)

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This paper establishes the fundamental limits of a two-user single-receiver
system where communication from User 1 (but not from User 2) needs to be
undetectable to an external warden. Our fundamental limits show a tradeoff
between the highest rates (or square-root rates) that are simultaneously
achievable for the two users. Moreover, coded time-sharing for both users is
fundamentally required on most channels, which distinguishes this setup from
the more classical setups with either only covert users or only non-covert
users. Interestingly, the presence of a non-covert user can be beneficial for
improving the covert capacity of the other user.

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