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arxiv: 1105.0087 · v1 · pith:PTTLCGP6new · submitted 2011-04-30 · 🧮 math.AG · cs.IT· math.CO· math.IT

Higher weights of Grassmann codes in terms of properties of Schubert unions

classification 🧮 math.AG cs.ITmath.COmath.IT
keywords codesgrassmannhigherpropertiesschuberttermsunionsweights
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We describe the higher weights of the Grassmann codes $G(2,m)$ over finite fields ${\mathbb F}_q$ in terms of properties of Schubert unions, and in each case we determine the weight as the minimum of two explicit polynomial expressions in $q$.

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