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On binary k-paving matroids and Reed-Muller codes

✍ Scribed by Sanjay Rajpal


Publisher
Elsevier Science
Year
1998
Tongue
English
Weight
487 KB
Volume
190
Category
Article
ISSN
0012-365X

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✦ Synopsis


A matroid Jr' of rank r>.k is k-paving if all of its circuits have cardinality exceeding r-k.

In this paper, we develop some basic results concerning k-paving matroids and their connections with codes. Also, we determine all binary 2-paving matroids. (~