Information on Result #719311
Linear OA(958, 728, F9, 22) (dual of [728, 670, 23]-code), using the primitive BCH-code C(I) with length 728 = 93−1, defining interval I = {70,71,…,91}, and designed minimum distance d ≥ |I|+1 = 23
Mode: Constructive and linear.
This result is hidden, because other results with identical parameters exist.
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 Expurgated Narrow-Sense BCH-Codes [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 OOA(958, 534, F9, 2, 22) (dual of [(534, 2), 1010, 23]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(958, 534, F9, 3, 22) (dual of [(534, 3), 1544, 23]-NRT-code) | [i] | ||
| 3 | Digital (36, 58, 534)-net over F9 | [i] | ||
| 4 | Linear OA(971, 759, F9, 23) (dual of [759, 688, 24]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 5 | Linear OA(970, 758, F9, 23) (dual of [758, 688, 24]-code) | [i] | ✔ | |
| 6 | Linear OA(968, 753, F9, 23) (dual of [753, 685, 24]-code) | [i] | ✔ | |
| 7 | Linear OA(974, 762, F9, 24) (dual of [762, 688, 25]-code) | [i] | ✔ | |
| 8 | Linear OA(972, 757, F9, 24) (dual of [757, 685, 25]-code) | [i] | ✔ | |
| 9 | Linear OA(970, 751, F9, 24) (dual of [751, 681, 25]-code) | [i] | ✔ | |
| 10 | Linear OA(983, 753, F9, 29) (dual of [753, 670, 30]-code) | [i] | ✔ | |
| 11 | Linear OA(988, 758, F9, 30) (dual of [758, 670, 31]-code) | [i] | ✔ | |
| 12 | Linear OA(992, 759, F9, 31) (dual of [759, 667, 32]-code) | [i] | ✔ | |
| 13 | Linear OA(987, 757, F9, 30) (dual of [757, 670, 31]-code) | [i] | ✔ | |
| 14 | Linear OA(992, 762, F9, 31) (dual of [762, 670, 32]-code) | [i] | ✔ | |