Information on Result #604909
Linear OA(511, 12, F5, 11) (dual of [12, 1, 12]-code or 12-arc in PG(10,5)), using dual of repetition code with length 12
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
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(511, 12, F5, 10) (dual of [12, 1, 11]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(580, 637, F5, 22) (dual of [637, 557, 23]-code) | [i] | (u, u+v)-Construction | |
| 3 | Linear OA(597, 3137, F5, 22) (dual of [3137, 3040, 23]-code) | [i] | ||
| 4 | Linear OA(5114, 15637, F5, 22) (dual of [15637, 15523, 23]-code) | [i] | ||
| 5 | Linear OA(5131, 78137, F5, 22) (dual of [78137, 78006, 23]-code) | [i] | ||
| 6 | Linear OA(5148, 390637, F5, 22) (dual of [390637, 390489, 23]-code) | [i] | ||
| 7 | Linear OA(537, 46, F5, 23) (dual of [46, 9, 24]-code) | [i] | Generalized (u, u+v)-Construction | |
| 8 | Linear OA(584, 638, F5, 23) (dual of [638, 554, 24]-code) | [i] | Construction X with Cyclic Codes | |
| 9 | Linear OA(5102, 3138, F5, 23) (dual of [3138, 3036, 24]-code) | [i] | ||
| 10 | Linear OA(5120, 15638, F5, 23) (dual of [15638, 15518, 24]-code) | [i] | ||
| 11 | Linear OA(5138, 78138, F5, 23) (dual of [78138, 78000, 24]-code) | [i] | ||
| 12 | Linear OA(572, 138, F5, 25) (dual of [138, 66, 26]-code) | [i] | ||
| 13 | Linear OA(592, 638, F5, 25) (dual of [638, 546, 26]-code) | [i] | ||
| 14 | Linear OA(542, 3137, F5, 10) (dual of [3137, 3095, 11]-code) | [i] | Construction X4 with Extended Narrow-Sense BCH Codes | |
| 15 | Linear OA(537, 3137, F5, 9) (dual of [3137, 3100, 10]-code) | [i] | ||
| 16 | Linear OA(532, 3137, F5, 8) (dual of [3137, 3105, 9]-code) | [i] | ||
| 17 | Linear OA(517, 3137, F5, 4) (dual of [3137, 3120, 5]-code) | [i] | ||