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A generalized weight for linear codes and a Witt-MacWilliams theorems. (English) Zbl 0456.94011


MSC:

94B05 Linear codes (general theory)
15A03 Vector spaces, linear dependence, rank, lineability
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References:

[1] Artin, E., Geometric Algebra (1957), Wiley-Interscience: Wiley-Interscience New York · Zbl 0077.02101
[2] Bogart, K.; Goldberg, D.; Gordon, J., An elementary proof of the MacWilliams theorem on equivalence of codes, Inform. Contr., 37, 19-22 (1978) · Zbl 0382.94021
[3] MacWilliams, F. J., Combinatorial Problems of Elementary Abelian Groups, (Doctoral thesis (1962), Harvard University) · Zbl 0205.20501
[4] Sloane, N. J.A; MacWilliams, F. J., The Theory of Error-Correcting Codes (1977), North-Holland · Zbl 0369.94008
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