Novel Generalized Entropy Measure's Characteristics Associated with Code-Word Length

Authors

  • Aakanksha Dwivedi Department of Mathematics and Statistics, Manipal University Jaipur, Jaipur, India https://orcid.org/0009-0001-3924-4606
  • R. N. Saraswat Department of Mathematics and Statistics, Manipal University Jaipur, Jaipur, India

DOI:

https://doi.org/10.37256/cm.5120243281

Keywords:

mean code-word length, Shannon’s entropy, Holder inequality, Kraft’s inequality, Huffman and Shannon- Fano codes

Abstract

In this article, we introduce a novel, all-purpose entropy measure and derive a new, all-purpose average codeword length in accordance with it. After that, we determined new average generalized codeword length constraints in terms of additional metrics of generalized entropy. In addition, we demonstrate that the metrics employed in this study are generalizations of other metrics typically employed in the coding and information theory communities.

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Published

2024-01-02

How to Cite

1.
Dwivedi A, Saraswat RN. Novel Generalized Entropy Measure’s Characteristics Associated with Code-Word Length. Contemp. Math. [Internet]. 2024 Jan. 2 [cited 2024 Jul. 14];5(1):105-17. Available from: https://ojs.wiserpub.com/index.php/CM/article/view/3281