Information on Result #719028
Linear OA(940, 728, F9, 15) (dual of [728, 688, 16]-code), using the primitive BCH-code C(I) with length 728 = 93−1, defining interval I = {77,78,…,91}, and designed minimum distance d ≥ |I|+1 = 16
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 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(940, 510, F9, 2, 15) (dual of [(510, 2), 980, 16]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
2 | Linear OOA(940, 510, F9, 3, 15) (dual of [(510, 3), 1490, 16]-NRT-code) | [i] | ||
3 | Digital (25, 40, 510)-net over F9 | [i] | ||
4 | Linear OA(952, 758, F9, 16) (dual of [758, 706, 17]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
5 | Linear OA(956, 762, F9, 17) (dual of [762, 706, 18]-code) | [i] | ✔ | |
6 | Linear OA(956, 744, F9, 20) (dual of [744, 688, 21]-code) | [i] | ✔ | |
7 | Linear OA(955, 741, F9, 20) (dual of [741, 686, 21]-code) | [i] | ✔ | |
8 | Linear OA(960, 747, F9, 21) (dual of [747, 687, 22]-code) | [i] | ✔ | |
9 | Linear OA(965, 753, F9, 22) (dual of [753, 688, 23]-code) | [i] | ✔ | |
10 | Linear OA(970, 758, F9, 23) (dual of [758, 688, 24]-code) | [i] | ✔ | |
11 | Linear OA(974, 759, F9, 24) (dual of [759, 685, 25]-code) | [i] | ✔ | |
12 | Linear OA(960, 748, F9, 21) (dual of [748, 688, 22]-code) | [i] | ✔ | |
13 | Linear OA(959, 745, F9, 21) (dual of [745, 686, 22]-code) | [i] | ✔ | |
14 | Linear OA(964, 751, F9, 22) (dual of [751, 687, 23]-code) | [i] | ✔ | |
15 | Linear OA(969, 757, F9, 23) (dual of [757, 688, 24]-code) | [i] | ✔ | |
16 | Linear OA(974, 762, F9, 24) (dual of [762, 688, 25]-code) | [i] | ✔ | |
17 | Linear OA(973, 760, F9, 24) (dual of [760, 687, 25]-code) | [i] | ✔ |