Binary Symmetric Channel Bruen Cryptography entropy Information Theory

New identities for the Shannon function and applications

Prof. Aiden Bruen’s has recently contributed a paper in which he shows how the Shannon entropy function H(p, q) = p \log \frac{1}{p} + (q) \log \frac{1}{q} is expressible as a linear combination of other Shannon entropy functions involving quotients of polynomials in p, q of degree n for any n >= 2 .

Chapter 25 of the forthcoming 2nd Edition of the Handbook contains all the background information, additional details, and related material.

2020 MSC: 94A15 Information theory, 94A17 Measures of information, entropy, 94A60 Cryptography

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