Indonesian Journal of Mathematics and Applications
Vol. 2 No. 2 (2024): Indonesian Journal of Mathematics and Applications

Ring of Weight Enumerator of Integer

Azaliyah, Syarifatul (Unknown)
Hamid, Nur (Unknown)
Alghofari, Abdul Rouf (Unknown)
Anam, Syaiful (Unknown)

Article Info

Publish Date
25 Sep 2024

Abstract

 Invariant theory can be combined with coding theory to analyze the polynomial ring over its weight enumerator. For a certain class code, especially for self-dual doubly even code or type II code, the polynomials over its code satisfy the invarian condition. In this paper, we will  show that the ring of the weight enumerator over integer of self-dual doubly even code $d_{48}^+$ cannot be ganerated by the weight enumerator of self-dual doubly even code with code length n=8, 16, 24, 32 and 40. 

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Journal Info
Indonesian Journal of Mathematics and Applications
Website

Abbrev

ijma

Publisher

Universitas Brawijaya

Subject

Computer Science & IT Education Mathematics Other

Description

The Indonesian Journal of Mathematics and Applications is a journal managed by Universitas Brawijaya, Malang, Indonesia, that is published twice a year (in March and September). IJMA is devoted to research articles of the highest quality in all areas of mathematics and its applications, statistics, ...