Information on Result #720013
Linear OA(988, 728, F9, 33) (dual of [728, 640, 34]-code), using the primitive BCH-code C(I) with length 728 = 93−1, defining interval I = {59,60,…,91}, and designed minimum distance d ≥ |I|+1 = 34
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 BCH-Codes (hidden) [i]
- Primitive BCH-Codes (hidden) [i]
- Primitive Expurgated Narrow-Sense BCH-Codes [i]
- Primitive BCH-Codes (hidden) [i]
Depending Results
The following results depend on this result:
Result | This result only | Method | ||
---|---|---|---|---|
1 | Linear OOA(988, 723, F9, 2, 33) (dual of [(723, 2), 1358, 34]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
2 | Linear OOA(988, 723, F9, 3, 33) (dual of [(723, 3), 2081, 34]-NRT-code) | [i] | ||
3 | Digital (55, 88, 723)-net over F9 | [i] | ||
4 | Linear OA(9100, 758, F9, 34) (dual of [758, 658, 35]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
5 | Linear OA(9104, 762, F9, 35) (dual of [762, 658, 36]-code) | [i] | ✔ | |
6 | Linear OA(9104, 744, F9, 38) (dual of [744, 640, 39]-code) | [i] | ✔ | |
7 | Linear OA(9103, 741, F9, 38) (dual of [741, 638, 39]-code) | [i] | ✔ | |
8 | Linear OA(9108, 747, F9, 39) (dual of [747, 639, 40]-code) | [i] | ✔ | |
9 | Linear OA(9113, 753, F9, 40) (dual of [753, 640, 41]-code) | [i] | ✔ | |
10 | Linear OA(9118, 758, F9, 41) (dual of [758, 640, 42]-code) | [i] | ✔ | |
11 | Linear OA(9122, 759, F9, 42) (dual of [759, 637, 43]-code) | [i] | ✔ | |
12 | Linear OA(9108, 748, F9, 39) (dual of [748, 640, 40]-code) | [i] | ✔ | |
13 | Linear OA(9107, 745, F9, 39) (dual of [745, 638, 40]-code) | [i] | ✔ | |
14 | Linear OA(9112, 751, F9, 40) (dual of [751, 639, 41]-code) | [i] | ✔ | |
15 | Linear OA(9117, 757, F9, 41) (dual of [757, 640, 42]-code) | [i] | ✔ | |
16 | Linear OA(9122, 762, F9, 42) (dual of [762, 640, 43]-code) | [i] | ✔ | |
17 | Linear OA(9121, 760, F9, 42) (dual of [760, 639, 43]-code) | [i] | ✔ |