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The minimum distance of codes in an array coming from telescopic semigroups

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2 Author(s)
Kirfel, C. ; Bergen Laererhogskole, Landaas, Norway ; Pellikaan, R.

The concept of an error-correcting array gives a new bound on the minimum distance of linear codes and a decoding algorithm which decodes up to half this bound. This gives a unified point of view which explains several improvements on the minimum distance of algebraic-geometric codes. Moreover, it is explained in terms of linear algebra and the theory of semigroups only

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Information Theory, IEEE Transactions on  (Volume:41 ,  Issue: 6 )