English

New identities for the Shannon function and applications

Information Theory 2021-02-26 v1 math.IT

Abstract

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.

Cite

@article{arxiv.2102.12692,
  title  = {New identities for the Shannon function and applications},
  author = {Aiden A Bruen},
  journal= {arXiv preprint arXiv:2102.12692},
  year   = {2021}
}

Comments

13 pages,1 figure

R2 v1 2026-06-23T23:29:44.911Z