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Weight enumeration

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Part of the Lecture Notes in Mathematics book series (LNM,volume 201)

Absract

There is a remarkable relation between the weight enumerator of a linear code and the weight enumerator of the dual code. The relation was first discovered by F. J. MacWilliams. The proof we give here is based on an idea due to A. M. Gleason.

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© 1971 Springer-Verlag Berlin · Heidelberg

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(1971). Weight enumeration. In: Coding Theory. Lecture Notes in Mathematics, vol 201. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-36657-7_6

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  • DOI: https://doi.org/10.1007/978-3-540-36657-7_6

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-06363-6

  • Online ISBN: 978-3-540-36657-7

  • eBook Packages: Springer Book Archive