Our purpose is to complete the classification of extremal additive circulant self-dual codes of lengths up to 15 and construct some good such codes for lengths 16 less than or equal to n less than or equal to 30. We also complete the classification of extremal additive 4-circulant self-dual codes of lengths 4,6,8,12,14, and 16 and most codes of length 10 and construct good such codes of even lengths up to 22. As a byproduct, we obtained several new extremal self-dual Type 1 [[16,0,6]] codes, Type II [[22,0,8]] codes, and a Type 1 [[22,0,8]] code, all with 4-circulant generator matrices.
机构:
Dept. of Elec. and Electron. Eng., University of Canterbury, Private Bag 4800, ChristhchurchDept. of Elec. and Electron. Eng., University of Canterbury, Private Bag 4800, Christhchurch
Gulliver T.A.
Harada M.
论文数: 0引用数: 0
h-index: 0
机构:
Department of Mathematics, Okayama UniversityDept. of Elec. and Electron. Eng., University of Canterbury, Private Bag 4800, Christhchurch
机构:
Dept. of Elec. and Electron. Eng., University of Canterbury, Private Bag 4800
Dept. of Syst. and Comp. Engineering, Carleton University, 1125 Colonel By Drive, OttawaDept. of Elec. and Electron. Eng., University of Canterbury, Private Bag 4800
Gulliver T.A.
Harada M.
论文数: 0引用数: 0
h-index: 0
机构:
Department of Mathematical Sciences, Yamagata University
Department of Mathematics, Okayama UniversityDept. of Elec. and Electron. Eng., University of Canterbury, Private Bag 4800