Weight Spectrum of Codes Associated With the Grassmannian <formula formulatype="inline"><tex Notation="TeX">$G(3,7)$</tex></formula>

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Weight spectrum of codes associated with the Grassmannian G(3,7)

In this paper we consider the problem of determining the weight spectrum of q-ary codes C(3,m) associated with Grassmann varieties G(3,m). For m = 6 this was done in [1]. We derive a formula for the weight of a codeword of C(3,m), in terms of certain varieties associated with alternating trilinear forms on F q . The classification of such forms under the action of the general linear group GL(m,...

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ژورنال

عنوان ژورنال: IEEE Transactions on Information Theory

سال: 2013

ISSN: 0018-9448,1557-9654

DOI: 10.1109/tit.2012.2219497