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Classification of Perfect codes in Hamming Metric
Linnaeus University, Faculty of Science and Engineering, School of Computer Science, Physics and Mathematics.
2011 (English)Independent thesis Advanced level (degree of Master (Two Years)), 10 credits / 15 HE creditsStudent thesis
Abstract [en]

The study of coding theory aims to detect and correct the errors during the transmission of the data. It enhances the quality of data transmission and provides better control over the noisy channels.The perfect codes are collected and analyzed in the premises of the Hamming metric.This classification yields that there exists only a few perfect codes. The perfect codes do not guarantee the perfection by all means but just satisfy certain bound and properties. The detection and correction of errors is always very important for better data transmission.

Place, publisher, year, edition, pages
2011. , 49 p.
Keyword [en]
Hamming metric; Hamming code, Hamming bounds; Cyclic codes; Perfect
Identifiers
URN: urn:nbn:se:lnu:diva-13833OAI: oai:DiVA.org:lnu-13833DiVA: diva2:435488
Subject / course
Mathematics
Educational program
Mathematics and Modelling, Master Programme, 120 credits
Uppsok
Physics, Chemistry, Mathematics
Supervisors
Examiners
Available from: 2011-08-18 Created: 2011-08-18 Last updated: 2011-08-18Bibliographically approved

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7574803e80ad033cd40f2b73439c7b74a84100a20ccb41dc42e89645eaff7c08eff67d6e8015f61ce4bdc764f1b32f616d0b38c4a3c640835d78b70437a591b9
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School of Computer Science, Physics and Mathematics

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CiteExportLink to record
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  • apa
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