Secure random number generation from parity symmetric radiations
Toyohiro Tsurumaru, Toshihiko Sasaki, Izumi Tsutsui

TL;DR
This paper introduces a new radioactive RNG method leveraging parity symmetry, providing a rigorous security proof and addressing a gap in the cryptographic understanding of radiation-based generators.
Contribution
The paper presents a novel radioactive RNG approach that exploits parity symmetry to enable a simple, rigorous security proof, advancing the theoretical foundation of radiation-based cryptographic generators.
Findings
Proposes a new radioactive RNG method using parity symmetry.
Provides a rigorous security proof for the RNG.
Addresses a gap in the security analysis of radioactive RNGs.
Abstract
The random number generators (RNGs) are an indispensable tool in cryptography. Of various types of RNG method, those using radiations from nuclear decays (radioactive RNG) has a relatively long history but their security has never been discussed rigorously in the literature. In this paper we propose a new method of the radioactive RNG that admits a simple and rigorous proof of security. The security proof is made possible here by exploiting the parity (space inversion) symmetry arising in the device, which has previously been unfocused but is generically available for a nuclide which decays by parity-conserving interactions.
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