New identities for the Shannon function and applications

New identities for the Shannon function and applications

We show how the Shannon entropy function H(p,q)is expressible as a linear combination of other Shannon entropy functions involving quotients of polynomials in p,q of degree n for any given positive integer n. An application to cryptographic keys is presented.

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Veröffentlicht in:arXiv.org 2021-02
1. Verfasser: Bruen, Aiden A
Format: Artikel
Sprache:eng
Schlagworte:
Cryptography
Entropy
Entropy (Information theory)
Functions (mathematics)
Identities
Mathematical analysis
Polynomials
Quotients
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Zusammenfassung:We show how the Shannon entropy function H(p,q)is expressible as a linear combination of other Shannon entropy functions involving quotients of polynomials in p,q of degree n for any given positive integer n. An application to cryptographic keys is presented.
ISSN:2331-8422