References & Citations
Computer Science > Information Theory
Title: Function Computation and Identification over Locally Homomorphic Multiple-Access Channels
(Submitted on 22 Apr 2024)
Abstract: We develop the notion of a locally homomorphic channel and prove an approximate equivalence between those and codes for computing functions. Further, we derive decomposition properties of locally homomorphic channels which we use to analyze and construct codes where two messages must be encoded independently. This leads to new results for identification and K-identification when all messages are sent over multiple-access channels, which yield surprising rate improvements compared to naive code constructions. In particular, we demonstrate that for the example of identification with deterministic encoders, both encoders can be constructed independently.
Submission history
From: Johannes Rosenberger [view email][v1] Mon, 22 Apr 2024 17:51:32 GMT (26kb,D)
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