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

Published 30 Apr 2011 in math.AG, cs.IT, math.CO, and math.IT | (1105.0087v1)

Abstract: 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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