Information on Result #720450
Linear OA(9118, 728, F9, 44) (dual of [728, 610, 45]-code), using the primitive BCH-code C(I) with length 728 = 93−1, defining interval I = {−9,−8,…,34}, and designed minimum distance d ≥ |I|+1 = 45
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 Expurgated Narrow-Sense BCH-Codes [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 OA(9139, 787, F9, 44) (dual of [787, 648, 45]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 2 | Linear OA(9139, 788, F9, 44) (dual of [788, 649, 45]-code) | [i] | ✔ | |
| 3 | Linear OA(9137, 783, F9, 44) (dual of [783, 646, 45]-code) | [i] | ✔ | |
| 4 | Linear OA(9136, 781, F9, 44) (dual of [781, 645, 45]-code) | [i] | ✔ | |
| 5 | Linear OA(9135, 777, F9, 44) (dual of [777, 642, 45]-code) | [i] | ✔ | |
| 6 | Linear OA(9134, 774, F9, 44) (dual of [774, 640, 45]-code) | [i] | ✔ | |
| 7 | Linear OA(9133, 772, F9, 44) (dual of [772, 639, 45]-code) | [i] | ✔ | |
| 8 | Linear OA(9132, 768, F9, 44) (dual of [768, 636, 45]-code) | [i] | ✔ | |