Characterization and classification of optimal LCD codes
| Autor: | Araya, Makoto, Harada, Masaaki, Saito, Ken |
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| Rok vydání: | 2019 |
| Předmět: | |
| Druh dokumentu: | Working Paper |
| Popis: | Linear complementary dual (LCD) codes are linear codes that intersect with their dual trivially. We give a characterization of LCD codes over $\mathbb{F}_q$ having large minimum weights for $q \in \{2,3\}$. Using the characterization, we determine the largest minimum weights among LCD $[n,k]$ codes over $\mathbb{F}_q$ for $(q,k) \in \{(2,4), (3,2),(3,3)\}$. Moreover, we give a complete classification of optimal LCD $[n,k]$ codes over $\mathbb{F}_q$ for $(q,k) \in \{(2,3), (2,4), (3,2),(3,3)\}$. Comment: 33 pages |
| Databáze: | arXiv |
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