CONSTRUCTION OF MDS, MDR, NEAR-MDS OR NEAR-MDR SELF-DUAL AND SELF-ORTOGONAL CODES OVER FINITE RINGS Zpm
In 2008, Heisook Lee and Yoojin Lee introduced a building-up method to construct self-dual or self-orthogonal codes over finite rings Zpm of even length, for pm = 25, 125, 169, 289. In this thesis we obtained new self-dual or self-orthogonal codes over finite rings Zpm of even or odd length, for pm...
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| Format: | Theses |
| Language: | Indonesia |
| Online Access: | https://digilib.itb.ac.id/gdl/view/16502 |
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| Institution: | Institut Teknologi Bandung |
| Language: | Indonesia |
| Summary: | In 2008, Heisook Lee and Yoojin Lee introduced a building-up method to construct self-dual or self-orthogonal codes over finite rings Zpm of even length, for pm = 25, 125, 169, 289. In this thesis we obtained new self-dual or self-orthogonal codes over finite rings Zpm of even or odd length, for pm = 25, 125, 169, 625, by combining building-up and substraction methods. We also generalized the Harada-Munemasa and Recursive method to construct other self-orthogonal codes over finite rings Zpm, for pm = 25; 125; 169. All self-dual and self-orthogonal codes are MDS, MDR, near-MDS or near-MDR. |
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