Mathematical analysis and simulation of secure information transmission and processing model

The security of information transmission and processing due to unknown vulnerabilities and backdoors in cyberspace is becoming increasingly problematic. However, there is a lack of effective theory to mathematically demonstrate the security of information transmission and processing under nonrandom noise (or vulnerability backdoor attack) conditions in cyberspace. This paper first proposes a security model for cyberspace information transmission and processing channels based on error correction coding theory. First, we analyze the fault tolerance and non-randomness problem of Dynamic Heterogeneous Redundancy (DHR) structured information transmission and processing channel under the condition of non-random noise or attacks. Secondly, we use a mathematical statistical method to demonstrate that for non-random noise (or attacks) on discrete memory channels, there exists a DHR-structured channel and coding scheme that enables the average system error probability to be arbitrarily small. Finally, to construct suitable coding and heterogeneous channels, we take Turbo code as an example and simulate the effects of different heterogeneity, redundancy, output vector length, verdict algorithm and dynamism on the system, which is an important guidance for theory and engineering practice.