Information on Result #604902
Linear OA(54, 5, F5, 4) (dual of [5, 1, 5]-code or 5-arc in PG(3,5)), using dual of repetition code with length 5
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.
Compare with Markus Grassl’s online database of code parameters.
Other Results with Identical Parameters
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(5120, 78140, F5, 19) (dual of [78140, 78020, 20]-code) | [i] | ||
| 3 | Linear OA(5135, 390640, F5, 19) (dual of [390640, 390505, 20]-code) | [i] | ||
| 4 | Linear OA(5150, 1953140, F5, 19) (dual of [1953140, 1952990, 20]-code) | [i] | ||
| 5 | Linear OA(565, 3135, F5, 14) (dual of [3135, 3070, 15]-code) | [i] | (u, u−v, u+v+w)-Construction | |
| 6 | Linear OA(576, 15635, F5, 14) (dual of [15635, 15559, 15]-code) | [i] | ||
| 7 | Linear OA(587, 78135, F5, 14) (dual of [78135, 78048, 15]-code) | [i] | ||
| 8 | Linear OA(598, 390635, F5, 14) (dual of [390635, 390537, 15]-code) | [i] | ||
| 9 | Linear OA(5109, 1953135, F5, 14) (dual of [1953135, 1953026, 15]-code) | [i] | ||
| 10 | Linear OA(525, 31, F5, 15) (dual of [31, 6, 16]-code) | [i] | Construction X with Cyclic Codes | |
| 11 | Linear OA(532, 36, F5, 24) (dual of [36, 4, 25]-code) | [i] | ||
| 12 | Linear OA(567, 132, F5, 32) (dual of [132, 65, 33]-code) | [i] | Construction X with Varšamov Bound | |
| 13 | Linear OA(595, 123, F5, 54) (dual of [123, 28, 55]-code) | [i] | ||
| 14 | Linear OA(596, 124, F5, 55) (dual of [124, 28, 56]-code) | [i] | ||
| 15 | Linear OA(597, 125, F5, 56) (dual of [125, 28, 57]-code) | [i] | ||
| 16 | Linear OA(5115, 143, F5, 67) (dual of [143, 28, 68]-code) | [i] | ||
| 17 | Linear OA(5116, 144, F5, 68) (dual of [144, 28, 69]-code) | [i] | ||
| 18 | Linear OA(5119, 136, F5, 75) (dual of [136, 17, 76]-code) | [i] | ||
| 19 | Linear OA(536, 68, F5, 19) (dual of [68, 32, 20]-code) | [i] | ||
| 20 | Linear OA(541, 78, F5, 21) (dual of [78, 37, 22]-code) | [i] | ||