Information on Result #718971
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 = {−5,−4,…,10}, 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(955, 764, F9, 16) (dual of [764, 709, 17]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 5 | Linear OA(960, 763, F9, 18) (dual of [763, 703, 19]-code) | [i] | ✔ | |
| 6 | Linear OA(949, 752, F9, 16) (dual of [752, 703, 17]-code) | [i] | ✔ | |
| 7 | Linear OA(952, 752, F9, 17) (dual of [752, 700, 18]-code) | [i] | ✔ | |
| 8 | Linear OA(955, 751, F9, 18) (dual of [751, 696, 19]-code) | [i] | ✔ | |