Orthogonal, Antiorthogonal and Self-Orthogonal Matrices and their Codes
نویسنده
چکیده
Orthogonal matrices over arbitrary elds are de ned together with their non-square analogs, which are termed row-orthogonal matrices. Antiorthogonal and self-orthogonal square matrices are introduced together with their non-square analogs. The relationships of these matrices to such codes as self-dual codes and linear codes with complementary duals are given. These relationships are used to obtain some constructions of linear codes with complementary duals.
منابع مشابه
Matrices of Varied Orthogonality and Their Codes (Submitted for short presentation at ISIT'98.)
Orthogonal matrices over arbitrary elds are de ned together with their non-square analogs, which are termed row-orthogonal matrices. Antiorthogonal and self-orthogonal square matrices are introduced together with their non-square analogs. The relationships of these matrices to such codes as self-dual codes and linear codes with complementary duals are given.
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تاریخ انتشار 1998