Information on Result #719938
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 = {61,62,…,93}, 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(999, 764, F9, 33) (dual of [764, 665, 34]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
5 | Linear OA(998, 762, F9, 33) (dual of [762, 664, 34]-code) | [i] | ✔ | |
6 | Linear OA(996, 757, F9, 33) (dual of [757, 661, 34]-code) | [i] | ✔ | |
7 | Linear OA(994, 751, F9, 33) (dual of [751, 657, 34]-code) | [i] | ✔ | |
8 | Linear OA(9124, 782, F9, 40) (dual of [782, 658, 41]-code) | [i] | ✔ | |
9 | Linear OA(9122, 777, F9, 40) (dual of [777, 655, 41]-code) | [i] | ✔ | |
10 | Linear OA(9112, 759, F9, 39) (dual of [759, 647, 40]-code) | [i] | ✔ | |
11 | Linear OA(9117, 764, F9, 40) (dual of [764, 647, 41]-code) | [i] | ✔ | |
12 | Linear OA(9111, 757, F9, 39) (dual of [757, 646, 40]-code) | [i] | ✔ | |
13 | Linear OA(9118, 767, F9, 40) (dual of [767, 649, 41]-code) | [i] | ✔ | |
14 | Linear OA(9116, 762, F9, 40) (dual of [762, 646, 41]-code) | [i] | ✔ | |
15 | Linear OA(9127, 767, F9, 43) (dual of [767, 640, 44]-code) | [i] | ✔ | |
16 | Linear OA(9131, 771, F9, 44) (dual of [771, 640, 45]-code) | [i] | ✔ | |
17 | Linear OA(9136, 774, F9, 45) (dual of [774, 638, 46]-code) | [i] | ✔ | |
18 | Linear OA(9135, 772, F9, 45) (dual of [772, 637, 46]-code) | [i] | ✔ | |
19 | Linear OA(9137, 777, F9, 46) (dual of [777, 640, 47]-code) | [i] | ✔ | |
20 | Linear OA(9142, 782, F9, 47) (dual of [782, 640, 48]-code) | [i] | ✔ |