Information on Result #718840
Linear OA(919, 728, F9, 7) (dual of [728, 709, 8]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 728 = 93−1, defining interval I = [0,6], and designed minimum distance d ≥ |I|+1 = 8
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]
- 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(922, 743, F9, 7) (dual of [743, 721, 8]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 2 | Linear OA(930, 746, F9, 10) (dual of [746, 716, 11]-code) | [i] | ✔ | |
| 3 | Linear OA(927, 742, F9, 9) (dual of [742, 715, 10]-code) | [i] | ✔ | |
| 4 | Linear OA(922, 734, F9, 8) (dual of [734, 712, 9]-code) | [i] | ✔ | |
| 5 | Linear OA(926, 738, F9, 9) (dual of [738, 712, 10]-code) | [i] | ✔ | |
| 6 | Linear OA(955, 763, F9, 16) (dual of [763, 708, 17]-code) | [i] | ✔ | |
| 7 | Linear OA(925, 734, F9, 9) (dual of [734, 709, 10]-code) | [i] | ✔ | |
| 8 | Linear OA(938, 746, F9, 13) (dual of [746, 708, 14]-code) | [i] | ✔ | |
| 9 | Linear OA(943, 752, F9, 14) (dual of [752, 709, 15]-code) | [i] | ✔ | |
| 10 | Linear OA(952, 761, F9, 16) (dual of [761, 709, 17]-code) | [i] | ✔ | |
| 11 | Linear OA(958, 767, F9, 17) (dual of [767, 709, 18]-code) | [i] | ✔ | |
| 12 | Linear OA(957, 764, F9, 17) (dual of [764, 707, 18]-code) | [i] | ✔ | |
| 13 | Linear OA(957, 766, F9, 17) (dual of [766, 709, 18]-code) | [i] | ✔ | |