Information on Result #602712
Linear OA(55, 5, F5, 5) (dual of [5, 0, 6]-code or 5-arc in PG(4,5)), using complete OA / dual of code with only one code word
Mode: Constructive and linear.
Optimality
Show details for fixed k and m, n and k, k and s, k and t, n and m, m and s, m and t, n and s, n and t.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(5105, 15640, F5, 19) (dual of [15640, 15535, 20]-code) | [i] | Generalized (u, u+v)-Construction | |
| 2 | Linear OA(5105, 15640, F5, 19) (dual of [15640, 15535, 20]-code) | [i] | ||
| 3 | Linear OA(5120, 78140, F5, 19) (dual of [78140, 78020, 20]-code) | [i] | ||
| 4 | Linear OA(5120, 78140, F5, 19) (dual of [78140, 78020, 20]-code) | [i] | ||
| 5 | Linear OA(5135, 390640, F5, 19) (dual of [390640, 390505, 20]-code) | [i] | ||
| 6 | Linear OA(5135, 390640, F5, 19) (dual of [390640, 390505, 20]-code) | [i] | ||
| 7 | Linear OA(5150, 1953140, F5, 19) (dual of [1953140, 1952990, 20]-code) | [i] | ||
| 8 | Linear OA(5150, 1953140, F5, 19) (dual of [1953140, 1952990, 20]-code) | [i] | ||
| 9 | Linear OA(565, 3135, F5, 14) (dual of [3135, 3070, 15]-code) | [i] | (u, u−v, u+v+w)-Construction | |
| 10 | Linear OA(576, 15635, F5, 14) (dual of [15635, 15559, 15]-code) | [i] | ||
| 11 | Linear OA(587, 78135, F5, 14) (dual of [78135, 78048, 15]-code) | [i] | ||
| 12 | Linear OA(598, 390635, F5, 14) (dual of [390635, 390537, 15]-code) | [i] | ||
| 13 | Linear OA(5109, 1953135, F5, 14) (dual of [1953135, 1953026, 15]-code) | [i] | ||