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All Journal Inferensi Mathematics and Applications (MAp) Journal Journal of Social Outreach Journal of Research Applications in Community Services Basis : Jurnal Ilmiah Matematika SCIENCE MATH
Sri Wigantono
Program Studi Matematika, Jurusan Matematika, FMIPA, Universitas Mulawarman
Religion Arts Humanities Biochemistry, Genetics & Molecular Biology Chemistry Computer Science & IT Decision Sciences, Operations Research & Management Economics, Econometrics & Finance Education Engineering Languange, Linguistic, Communication & Media Library & Information Science Mathematics Medicine & Pharmacology Physics Public Health Social Sciences Other

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Journal : SCIENCE MATH

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GENERATOR POLYNOMIAL OF IDEAL IN POLYNOMIAL RING AND ITS RELEVANCE TO CYCLIC CODE Tuhfatul Janan; Syifaul Janan; Sri Wigantono
SCIENCE MATH: Jurnal Ilmu Sains dan Matematika Vol. 1 No. 2 (2025): May
Publisher : PT Innovative Academic Journals

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.1234/65pgb009

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.
Co-Authors Asmaidi Dani, Andrea Tri Rian Desi Febriani Putri Dimas Raditya Sahputra Fachrian Bimantoro Putra Fidia Deny Tisna Amijaya Hardina Sandariria Hardina Sandariria Husna Novia Husna Novia Ramadhanty Indriasri Raming Itsar Mangngiri Korompot Naufal Fahrezi Meirinda Fauziyah Moh. Nurul Huda Muhammad Aldani Zen Qonita Qurrota A'yun Qonita Qurrota A'yun Qonita Qurrota A’yun Rabbiatul Adawiyah Sri Wahyuningsih Syaripuddin Syaripuddin Syifaul Janan Taqriri Kamal Mulyadi Tuhfatul Janan Wasono Wasono