Name
Abstract | ||
|---|---|---|
Linear complementary dual (LCD) codes are linear codes that intersect with their dual trivially. We give a characterization of LCD codes over F-q having large minimum weights for q is an element of{2,3}. Using the characterization, for arbitrary n, we determine the largest minimum weights among LCD [n, k] codes over F-q, where (q, k)is an element of{(2,4),(3,2),(3,3)}. Moreover, for arbitrary n, we give a complete classification of optimal LCD [n, k] codes over F-q, where (q, k) is an element of{(2,3),(2,4),(3,2),(3,3)}. |
Year | DOI | Venue |
|---|---|---|
2021 | 10.1007/s10623-020-00834-8 | DESIGNS CODES AND CRYPTOGRAPHY |
Keywords | DocType | Volume |
Linear complementary dual code, Binary code, Ternary code, Simple code, Griesmer bound | Journal | 89 |
Issue | ISSN | Citations |
4 | 0925-1022 | 2 |
PageRank | References | Authors |
0.38 | 0 | 3 |
Name | Order | Citations | PageRank |
|---|---|---|---|
| Makoto Araya | 1 | 26 | 8.52 |
| Masaaki Harada | 2 | 367 | 69.47 |
| Ken Saito | 3 | 19 | 6.61 |