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Properties of dual codes defined by nondegenerate forms

Başlangıç: 2015
Yayıncı: İrfan ŞİAP

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.

Keywords:

Frobenius ring, Sesquilinear form, Bilinear form, Dual code Generating character, MacWilliams identities,

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