Information on Result #718926
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 = {−5,−4,…,9}, 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(951, 760, F9, 15) (dual of [760, 709, 16]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 5 | Linear OA(949, 759, F9, 15) (dual of [759, 710, 16]-code) | [i] | ✔ | |
| 6 | Linear OA(948, 755, F9, 15) (dual of [755, 707, 16]-code) | [i] | ✔ | |
| 7 | Linear OA(958, 765, F9, 17) (dual of [765, 707, 18]-code) | [i] | ✔ | |
| 8 | Linear OA(957, 763, F9, 17) (dual of [763, 706, 18]-code) | [i] | ✔ | |
| 9 | Linear OA(962, 768, F9, 18) (dual of [768, 706, 19]-code) | [i] | ✔ | |
| 10 | Linear OA(949, 752, F9, 16) (dual of [752, 703, 17]-code) | [i] | ✔ | |
| 11 | Linear OA(954, 758, F9, 17) (dual of [758, 704, 18]-code) | [i] | ✔ | |
| 12 | Linear OA(952, 751, F9, 17) (dual of [751, 699, 18]-code) | [i] | ✔ | |