Work

General Structure and Properties of Cyclic Codes Over \(GF_2\)

Year: 2024

Type: article

Abstract: This article provides a comprehensive analysis of cyclic codes in GF(2), focusing on their general structure and key properties. Cyclic codes are characterized by their generator polynomials, which define their structure and play a crucial role in encoding and decoding processes. The cyclical shift property, inherent in cyclic codes, facilitates efficient implementation using shift register circuits, making them practical for real-world applications. The discussion highlights the algebraic properties that distinguish cyclic codes from other linear block codes, emphasizing their ability to detect and correct errors.

Source: Asian Research Journal of Mathematics

DOI: 10.9734/arjom/2024/v20i9828

Authors: Beatrice Gacheri Munjuri, Loyford Njagi, Josphine Mutembei

Institution: Meru University of Science and Technology

Language: English

Topic: Coding theory and cryptography

Subfield: Artificial Intelligence

Field: Computer Science

Domain: Physical Sciences

Open Access status: diamond

OpenAlex ID: W4401981505

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Cites: 7

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Related to: 10