Information on Result #718821
Linear OA(97, 728, F9, 3) (dual of [728, 721, 4]-code or 728-cap in PG(6,9)), using the primitive expurgated narrow-sense BCH-code C(I) with length 728 = 93−1, defining interval I = [0,2], and designed minimum distance d ≥ |I|+1 = 4
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]
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(910, 734, F9, 4) (dual of [734, 724, 5]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 2 | Linear OA(919, 743, F9, 6) (dual of [743, 724, 7]-code) | [i] | ✔ | |
| 3 | Linear OA(919, 745, F9, 6) (dual of [745, 726, 7]-code) | [i] | ✔ | |
| 4 | Linear OA(918, 741, F9, 6) (dual of [741, 723, 7]-code) | [i] | ✔ | |
| 5 | Linear OA(917, 738, F9, 6) (dual of [738, 721, 7]-code) | [i] | ✔ | |
| 6 | Linear OA(921, 741, F9, 7) (dual of [741, 720, 8]-code) | [i] | ✔ | |
| 7 | Linear OA(926, 747, F9, 8) (dual of [747, 721, 9]-code) | [i] | ✔ | |
| 8 | Linear OA(921, 742, F9, 7) (dual of [742, 721, 8]-code) | [i] | ✔ | |
| 9 | Linear OA(925, 745, F9, 8) (dual of [745, 720, 9]-code) | [i] | ✔ | |