Properties of dual codes defined by nondegenerate forms
Steve Szabo, Jay A. Wood · Journal of Algebra Combinatorics Discrete Structures and Applications · 2017
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.