SCIENCE MATH
Vol. 1 No. 2 (2025): May

GENERATOR POLYNOMIAL OF IDEAL IN POLYNOMIAL RING AND ITS RELEVANCE TO CYCLIC CODE

Tuhfatul Janan (Institut Ahmad Dahlan Probolinggo)
Syifaul Janan (Universitas Pembangunan Nasional Veteran Jakarta)
Sri Wigantono (Universitas Mulawarman)

Article Info

Publish Date
23 May 2025

Abstract

Cyclic codes were discovered by Prange in 1957. They have served as the foundation for the development of modern coding theory, such as Hamming codes, Golay codes, Reed-Solomon codes, and others. Cyclic codes are closely related to generator polynomials of a polynomial ring. This research uses a literature review method using relevant international articles and books. The research will revisit several aspects of Ling and Xing's work on generator polynomial of ideal in polynomial ring and its relevance to cyclic code. Furthermore, detailed explanations will be provided along with several examples.

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Journal Info
SCIENCE MATH
Website

Abbrev

sm

Publisher

PT Innovative Academic Journals

Subject

Biochemistry, Genetics & Molecular Biology Chemistry Computer Science & IT Mathematics Physics

Description

SCIENCE MATH: Jurnal Ilmu Sains dan Matematika (ISSN: XXXX-XXXX) is an open-access, peer-reviewed journal published by PT Innovative Academic Journals. Our journal is dedicated to advancing research and scholarship in the fields of science and mathematics by providing a platform for academics, ...