Information on Result #719451
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 = {−7,−6,…,18}, 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 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]
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(987, 778, F9, 26) (dual of [778, 691, 27]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
5 | Linear OA(986, 775, F9, 26) (dual of [775, 689, 27]-code) | [i] | ✔ | |
6 | Linear OA(984, 769, F9, 26) (dual of [769, 685, 27]-code) | [i] | ✔ | |
7 | Linear OA(984, 770, F9, 26) (dual of [770, 686, 27]-code) | [i] | ✔ | |
8 | Linear OA(983, 766, F9, 26) (dual of [766, 683, 27]-code) | [i] | ✔ | |
9 | Linear OA(982, 764, F9, 26) (dual of [764, 682, 27]-code) | [i] | ✔ | |
10 | Linear OA(986, 778, F9, 26) (dual of [778, 692, 27]-code) | [i] | ✔ | |
11 | Linear OA(983, 769, F9, 26) (dual of [769, 686, 27]-code) | [i] | ✔ | |
12 | Linear OA(982, 767, F9, 26) (dual of [767, 685, 27]-code) | [i] | ✔ | |
13 | Linear OA(981, 764, F9, 26) (dual of [764, 683, 27]-code) | [i] | ✔ | |
14 | Linear OA(983, 762, F9, 27) (dual of [762, 679, 28]-code) | [i] | ✔ | |
15 | Linear OA(982, 759, F9, 27) (dual of [759, 677, 28]-code) | [i] | ✔ |