Finding the minimum distance and decoding linear codes with Gaussian Elimination Method

We propose an algorithm using the Gaussian elimination method to find the minimal Hamming distance and decode received messages of linear codes. This algorithm is easy to implement as it requires no Gr\"obner bases to compute solutions for systems of polynomial equations

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Bibliographische Detailangaben
1. Verfasser:	Yang, Tianshuo
Format:	Artikel
Sprache:	eng
Schlagworte:	Computer Science - Cryptography and Security Computer Science - Information Theory Mathematics - Information Theory
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Beschreibung
Zusammenfassung:	We propose an algorithm using the Gaussian elimination method to find the minimal Hamming distance and decode received messages of linear codes. This algorithm is easy to implement as it requires no Gr\"obner bases to compute solutions for systems of polynomial equations
DOI:	10.48550/arxiv.2303.06889