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On the least covering radius of binary linear codes of dimension 6

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  • In this work the least covering radii of all binary linear codes of dimension 6 are determined. Codes of dimension up to 6 and lengths up to 15 having the least covering radius are classified and constructions of codes with $R=t$2$[n,k]$ of every length and dimension up to 6 are given. Examples of using this classification for the construction of codes with the least covering radius and dimensions greater than 6 are presented.
    Mathematics Subject Classification: Primary: 94B05.


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