Properties of dual codes defined by nondegenerate forms

نویسندگان

  • Steve Szabo
  • Jay A. Wood
چکیده

Dual codes are defined with respect to non-degenerate sesquilinear or bilinear forms over a finite Frobenius ring. These dual codes have the properties one expects from a dual code: they satisfy a double-dual property, they have cardinality complementary to that of the primal code, and they satisfy the MacWilliams identities for the Hamming weight. 2010 MSC: 94B05, 15A63

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تاریخ انتشار 2017