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Minimum distance of linear codes and the $Ξ±$-invariant
July 12, 2015 Β· Declared Dead Β· π Advances in Applied Mathematics
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Authors
Mehdi Garrousian, Stefan Tohaneanu
arXiv ID
1507.03286
Category
math.AC
Cross-listed
cs.IT
Citations
13
Venue
Advances in Applied Mathematics
Last Checked
3 months ago
Abstract
The simple interpretation of the minimum distance of a linear code obtained by De Boer and Pellikaan, and later refined by the second author, is further developed through the study of various finitely generated graded modules. We use the methods of commutative/homological algebra to find connections between the minimum distance and the $Ξ±$-invariant of such modules.
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