Information on Result #718836
Linear OA(910, 728, F9, 4) (dual of [728, 718, 5]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 728 = 93−1, defining interval I = [0,3], and designed minimum distance d ≥ |I|+1 = 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.
Other Results with Identical Parameters
- Primitive BCH-Codes (hidden) [i]
- Primitive BCH-Codes (hidden) [i]
- Primitive BCH-Codes (hidden) [i]
- Primitive BCH-Codes (hidden) [i]
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(918, 742, F9, 6) (dual of [742, 724, 7]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 2 | Linear OA(922, 743, F9, 7) (dual of [743, 721, 8]-code) | [i] | ✔ | |
| 3 | Linear OA(922, 745, F9, 7) (dual of [745, 723, 8]-code) | [i] | ✔ | |
| 4 | Linear OA(917, 738, F9, 6) (dual of [738, 721, 7]-code) | [i] | ✔ | |
| 5 | Linear OA(927, 749, F9, 8) (dual of [749, 722, 9]-code) | [i] | ✔ | |
| 6 | Linear OA(927, 751, F9, 8) (dual of [751, 724, 9]-code) | [i] | ✔ | |
| 7 | Linear OA(921, 741, F9, 7) (dual of [741, 720, 8]-code) | [i] | ✔ | |
| 8 | Linear OA(926, 747, F9, 8) (dual of [747, 721, 9]-code) | [i] | ✔ | |
| 9 | Linear OA(916, 734, F9, 6) (dual of [734, 718, 7]-code) | [i] | ✔ | |
| 10 | Linear OA(924, 741, F9, 8) (dual of [741, 717, 9]-code) | [i] | ✔ | |
| 11 | Linear OA(929, 747, F9, 9) (dual of [747, 718, 10]-code) | [i] | ✔ | |
| 12 | Linear OA(924, 742, F9, 8) (dual of [742, 718, 9]-code) | [i] | ✔ | |
| 13 | Linear OA(928, 745, F9, 9) (dual of [745, 717, 10]-code) | [i] | ✔ | |