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arXiv · 2501.12548

Galaxy Codes: Advancing Achievability for Deterministic Identification via Gaussian Channels

Holger Boche·Christian Deppe·Safieh Mahmoodi·Golamreza Omidi
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Abstract

Deterministic identification offers an efficient solution for scenarios where decoding entire messages is unnecessary. It is commonly used in alarm systems and control systems. A key advantage of this approach is that the capacity for deterministic identification in Gaussian channels with power constraints grows superexponentially, unlike Shannon's transmission capacity. This allows for a significantly higher number of messages to be transmitted using this event-driven method. So far, only upper and lower bounds for deterministic identification capacity have been established. Our work introduces a novel construction: galaxy codes for deterministic identification. Using these codes, we demonstrate an improvement in the achievability bound of 1/4 to 3/8, representing a previously unknown advance that opens new possibilities for efficient communication.

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Holger Boche, Christian Deppe, Safieh Mahmoodi, Golamreza Omidi. 2025-01-22. Galaxy Codes: Advancing Achievability for Deterministic Identification via Gaussian Channels. https://arxiv.org/abs/2501.12548

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