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Journal : SCIENCE MATH

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.
ANALISIS KESTABILAN MODEL PENYEBARAN FLU BURUNG TERHADAP POPULASI UNGGAS Syifaul Janan; Tuhfatul Janan; Fani Firmansyah; Didi Harlianto; Nicky Yongkimandalan
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: 10.1234/1ccn7t70

Abstract

This research aims to analyze Avian Influenza spread model around the equilibrium point. The population discussed is the poultry population which consists of two sub-populations, namely susceptible and infective. The method used is literature study through reference books and scientific articles related to the models. Then, the mathematical model, equilibrium point, and model stability were calculated. The results of calculations were made into a simulation model using Matlab and Maple software. It was found that there was an Avian Influenza virus spread to the poultry population which was influenced by several factors, namely birth, natural death, death due to infection, and migration (movement).