Error Correction Capabilities of Non-Linear Cryptographic Hash Functions
<|reference_start|>Error Correction Capabilities of Non-Linear Cryptographic Hash Functions: Linear hashes are known to possess error-correcting capabilities. However, in most applications, non-linear hashes with pseudorandom outputs are utilized instead. It has also been established that classical non-systematic random codes, both linear and non-linear, are capacity achieving in the asymptotic regime. Thus, it is reasonable to expect that non-linear hashes might also exhibit good error-correcting capabilities. In this paper, we show this to be the case. Our proof is based on techniques from multiple access channels. As a consequence, we show that Systematic Random Non-Linear Codes (S-RNLC) are capacity achieving in the asymptotic regime. We validate our results by comparing the performance of the Secure Hash Algorithm (SHA) with that of Systematic Random Linear Codes (SRLC) and S-RNLC, demonstrating that SHA performs equally.<|reference_end|>
@article{cohen2024error,
    title={Error Correction Capabilities of Non-Linear Cryptographic Hash Functions},
    author={Alejandro Cohen and Rafael G. L. D'Oliveira},
    journal={arXiv preprint arXiv:2405.01495},
    year={2024},
    archivePrefix={arXiv},
    eprint={2405.01495},
    primaryClass={cs.IT cs.CR math.IT}
}