Information on Result #718856
Linear OA(913, 728, F9, 5) (dual of [728, 715, 6]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 728 = 93−1, defining interval I = [0,4], and designed minimum distance d ≥ |I|+1 = 6
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]
- Primitive BCH-Codes (hidden) [i]
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(921, 742, F9, 7) (dual of [742, 721, 8]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 2 | Linear OA(916, 734, F9, 6) (dual of [734, 718, 7]-code) | [i] | ✔ | |
| 3 | Linear OA(925, 743, F9, 8) (dual of [743, 718, 9]-code) | [i] | ✔ | |
| 4 | Linear OA(925, 745, F9, 8) (dual of [745, 720, 9]-code) | [i] | ✔ | |
| 5 | Linear OA(924, 741, F9, 8) (dual of [741, 717, 9]-code) | [i] | ✔ | |
| 6 | Linear OA(929, 747, F9, 9) (dual of [747, 718, 10]-code) | [i] | ✔ | |
| 7 | Linear OA(919, 734, F9, 7) (dual of [734, 715, 8]-code) | [i] | ✔ | |
| 8 | Linear OA(923, 738, F9, 8) (dual of [738, 715, 9]-code) | [i] | ✔ | |
| 9 | Linear OA(927, 741, F9, 9) (dual of [741, 714, 10]-code) | [i] | ✔ | |
| 10 | Linear OA(927, 742, F9, 9) (dual of [742, 715, 10]-code) | [i] | ✔ | |
| 11 | Linear OA(955, 763, F9, 16) (dual of [763, 708, 17]-code) | [i] | ✔ | |