Weight enumerators, intersection enumerators, and Jacobi polynomials

The intersection enumerator and the Jacobi polynomial in an arbitrary genus for a binary code are introduced. Adding the weight enumerator into our discussion, we give the explicit relations among them and give some of their basic properties.

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Bibliographic Details
Published inDiscrete mathematics Vol. 343; no. 6; p. 111815
Main Authors Honma, K., Okabe, T., Oura, M.
Format Journal Article
LanguageEnglish
Published Elsevier B.V 01.06.2020
Subjects
Code
Intersection enumerator
Jacobi polynomial
Weight enumerator
Jacobi polynomial
Intersection enumerator
Code
Weight enumerator
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ISSN0012-365X
1872-681X
DOI10.1016/j.disc.2020.111815

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Summary:The intersection enumerator and the Jacobi polynomial in an arbitrary genus for a binary code are introduced. Adding the weight enumerator into our discussion, we give the explicit relations among them and give some of their basic properties.
ISSN:0012-365X
1872-681X
DOI:10.1016/j.disc.2020.111815