Information on Result #719986
Linear OA(970, 728, F9, 26) (dual of [728, 658, 27]-code), using the primitive BCH-code C(I) with length 728 = 93−1, defining interval I = {66,67,…,91}, and designed minimum distance d ≥ |I|+1 = 27
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 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]
- 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]
Depending Results
The following results depend on this result:
Result | This result only | Method | ||
---|---|---|---|---|
1 | Linear OOA(970, 666, F9, 2, 26) (dual of [(666, 2), 1262, 27]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
2 | Linear OOA(970, 666, F9, 3, 26) (dual of [(666, 3), 1928, 27]-NRT-code) | [i] | ||
3 | Digital (44, 70, 666)-net over F9 | [i] | ||
4 | Linear OA(977, 735, F9, 29) (dual of [735, 658, 30]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
5 | Linear OA(981, 739, F9, 30) (dual of [739, 658, 31]-code) | [i] | ✔ | |
6 | Linear OA(986, 744, F9, 31) (dual of [744, 658, 32]-code) | [i] | ✔ | |
7 | Linear OA(990, 747, F9, 32) (dual of [747, 657, 33]-code) | [i] | ✔ | |
8 | Linear OA(995, 753, F9, 33) (dual of [753, 658, 34]-code) | [i] | ✔ | |
9 | Linear OA(9100, 758, F9, 34) (dual of [758, 658, 35]-code) | [i] | ✔ | |
10 | Linear OA(985, 743, F9, 31) (dual of [743, 658, 32]-code) | [i] | ✔ | |
11 | Linear OA(994, 751, F9, 33) (dual of [751, 657, 34]-code) | [i] | ✔ | |
12 | Linear OA(9104, 762, F9, 35) (dual of [762, 658, 36]-code) | [i] | ✔ | |
13 | Linear OA(9108, 763, F9, 36) (dual of [763, 655, 37]-code) | [i] | ✔ |