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arXiv 1104.0172math.COcs.ITmath.IT

Weight enumeration of codes from finite spaces

Relinde Jurrius

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英文摘要

We study the generalized and extended weight enumerator of the q-ary Simplex code and the q-ary first order Reed-Muller code. For our calculations we use that these codes correspond to a projective system containing all the points in a finite projective or affine space. As a result from the geometric method we use for the weight enumeration, we also completely determine the set of supports of subcodes and words in an extension code.

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