Information on Result #719039
Linear OA(943, 728, F9, 16) (dual of [728, 685, 17]-code), using the primitive BCH-code C(I) with length 728 = 93−1, defining interval I = {78,79,…,93}, and designed minimum distance d ≥ |I|+1 = 17
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 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]
- 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(943, 544, F9, 2, 16) (dual of [(544, 2), 1045, 17]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
2 | Linear OOA(943, 544, F9, 3, 16) (dual of [(544, 3), 1589, 17]-NRT-code) | [i] | ||
3 | Digital (27, 43, 544)-net over F9 | [i] | ||
4 | Linear OA(953, 762, F9, 16) (dual of [762, 709, 17]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
5 | Linear OA(949, 753, F9, 16) (dual of [753, 704, 17]-code) | [i] | ✔ | |
6 | Linear OA(967, 759, F9, 22) (dual of [759, 692, 23]-code) | [i] | ✔ | |
7 | Linear OA(961, 751, F9, 21) (dual of [751, 690, 22]-code) | [i] | ✔ | |
8 | Linear OA(974, 771, F9, 23) (dual of [771, 697, 24]-code) | [i] | ✔ | |
9 | Linear OA(972, 764, F9, 23) (dual of [764, 692, 24]-code) | [i] | ✔ | |
10 | Linear OA(966, 757, F9, 22) (dual of [757, 691, 23]-code) | [i] | ✔ | |
11 | Linear OA(973, 767, F9, 23) (dual of [767, 694, 24]-code) | [i] | ✔ | |
12 | Linear OA(971, 762, F9, 23) (dual of [762, 691, 24]-code) | [i] | ✔ | |
13 | Linear OA(986, 768, F9, 27) (dual of [768, 682, 28]-code) | [i] | ✔ | |
14 | Linear OA(988, 773, F9, 28) (dual of [773, 685, 29]-code) | [i] | ✔ | |
15 | Linear OA(992, 777, F9, 29) (dual of [777, 685, 30]-code) | [i] | ✔ | |
16 | Linear OA(997, 782, F9, 30) (dual of [782, 685, 31]-code) | [i] | ✔ |