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Algebraic Approaches to Information Security: Applying Ring Matrix Groups for Enhanced Protection |
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PP: 725-738 |
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doi:10.18576/amis/190320
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Author(s) |
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Sisilia Sylviani,
Nita Anastasya,
Ema Carnia,
Fahmi Candra Permana,
Nursanti Anggriani,
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Abstract |
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| The group matrix ring M2(R)G serves as a generator matrix for constructing binary linear codes by integrating algebraic properties of groups and matrices. This research explores the application of M2(R)G, where M2(R) denotes the set of 2×2 matrices with entries from a ring R, and G represents a specific group. The study investigates how this structure can be effectively utilized in generating binary linear codes through a generator matrix, highlighting its potential advantages in error correction and secure communication. The findings provide deeper insights into the theoretical framework of group matrix rings and their practical applications in coding theory, contributing to advancements in information security.
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