Information on Result #719055
Linear OA(943, 728, F9, 16) (dual of [728, 685, 17]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 728 = 93−1, defining interval I = [0,15], and designed minimum distance d ≥ |I|+1 = 17
Mode: Constructive and linear.
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 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(955, 768, F9, 16) (dual of [768, 713, 17]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
5 | Linear OA(953, 763, F9, 16) (dual of [763, 710, 17]-code) | [i] | ✔ | |
6 | Linear OA(952, 759, F9, 16) (dual of [759, 707, 17]-code) | [i] | ✔ | |
7 | Linear OA(951, 742, F9, 18) (dual of [742, 691, 19]-code) | [i] | ✔ | |
8 | Linear OA(946, 734, F9, 17) (dual of [734, 688, 18]-code) | [i] | ✔ | |
9 | Linear OA(950, 738, F9, 18) (dual of [738, 688, 19]-code) | [i] | ✔ | |
10 | Linear OA(984, 777, F9, 25) (dual of [777, 693, 26]-code) | [i] | ✔ | |
11 | Linear OA(983, 774, F9, 25) (dual of [774, 691, 26]-code) | [i] | ✔ | |
12 | Linear OA(982, 772, F9, 25) (dual of [772, 690, 26]-code) | [i] | ✔ | |
13 | Linear OA(981, 768, F9, 25) (dual of [768, 687, 26]-code) | [i] | ✔ | |
14 | Linear OA(980, 765, F9, 25) (dual of [765, 685, 26]-code) | [i] | ✔ | |
15 | Linear OA(979, 763, F9, 25) (dual of [763, 684, 26]-code) | [i] | ✔ | |
16 | Linear OA(949, 734, F9, 18) (dual of [734, 685, 19]-code) | [i] | ✔ | |
17 | Linear OA(962, 746, F9, 22) (dual of [746, 684, 23]-code) | [i] | ✔ | |
18 | Linear OA(967, 752, F9, 23) (dual of [752, 685, 24]-code) | [i] | ✔ | |
19 | Linear OA(976, 761, F9, 25) (dual of [761, 685, 26]-code) | [i] | ✔ | |
20 | Linear OA(982, 767, F9, 26) (dual of [767, 685, 27]-code) | [i] | ✔ | |
21 | Linear OA(981, 764, F9, 26) (dual of [764, 683, 27]-code) | [i] | ✔ | |
22 | Linear OA(987, 770, F9, 27) (dual of [770, 683, 28]-code) | [i] | ✔ | |
23 | Linear OA(981, 766, F9, 26) (dual of [766, 685, 27]-code) | [i] | ✔ | |
24 | Linear OA(986, 769, F9, 27) (dual of [769, 683, 28]-code) | [i] | ✔ |