Ruhr-Uni-Bochum

Identification over Additive Noise Channels in the Presence of Feedback

2022

Konferenz / Medium

Autor*innen

Holger Boche Moritz Wiese Wafa Labidi Christian Deppe

Research Hub

Research Hub A: Kryptographie der Zukunft
Research Hub B: Eingebettete Sicherheit

Research Challenges

RC 2: Quantum-Resistant Cryptography
RC 5: Physical-Layer Security

Abstract

We analyze deterministic message identification via channels with non-discrete additive white noise and with a noiseless feedback link under both average power and peak power constraints. The identification task is part of Post Shannon Theory. The consideration of communication systems beyond Shannon’s approach is useful in order to increase the efficiency of information transmission for certain applications. We propose a coding scheme that first generates infinite common randomness between the sender and the receiver. If the channel has a positive message transmission feedback capacity, for given error thresholds and sufficiently large blocklength this common randomness is then used to construct arbitrarily large deterministic identification codes. In particular, the deterministic identification feedback capacity is infinite regardless of the scaling (exponential, doubly exponential, etc.) chosen for the capacity definition. Clearly, if randomized encoding is allowed in addition to the use of feedback, these results continue to hold.

Tags

Coding Theory
Complexity Theory
Information Theory
Implementation Attacks
Post-Quantum Cryptography