TL;DR
This paper provides a detailed development of Krawtchouk polynomials, highlighting their properties and significance in coding, graph, and number theory, filling a gap in existing literature.
Contribution
It offers a comprehensive and detailed analysis of Krawtchouk polynomials, which were previously only partially understood.
Findings
Elucidation of fundamental properties of Krawtchouk polynomials
Connections established with coding, graph, and number theory
Provides a foundational reference for future research
Abstract
Krawtchouk polynomials play an important role in coding theory and are also useful in graph theory and number theory. Although the basic properties of these polynomials are to some extent known, there is, to my knowledge, no detailed development available. My aim in writing this article is to fill in this gap.
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