Information on Result #720286
Linear OA(9109, 728, F9, 41) (dual of [728, 619, 42]-code), using the primitive BCH-code C(I) with length 728 = 93−1, defining interval I = {−9,−8,…,31}, and designed minimum distance d ≥ |I|+1 = 42
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 BCH-Codes (hidden) [i]
- Primitive Expurgated Narrow-Sense BCH-Codes [i]
- Primitive BCH-Codes (hidden) [i]
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(9132, 790, F9, 41) (dual of [790, 658, 42]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 2 | Linear OA(9125, 774, F9, 41) (dual of [774, 649, 42]-code) | [i] | ✔ | |
| 3 | Linear OA(9124, 772, F9, 41) (dual of [772, 648, 42]-code) | [i] | ✔ | |
| 4 | Linear OA(9123, 768, F9, 41) (dual of [768, 645, 42]-code) | [i] | ✔ | |
| 5 | Linear OA(9122, 765, F9, 41) (dual of [765, 643, 42]-code) | [i] | ✔ | |
| 6 | Linear OA(9121, 763, F9, 41) (dual of [763, 642, 42]-code) | [i] | ✔ | |
| 7 | Linear OA(9128, 765, F9, 43) (dual of [765, 637, 44]-code) | [i] | ✔ | |
| 8 | Linear OA(9127, 763, F9, 43) (dual of [763, 636, 44]-code) | [i] | ✔ | |
| 9 | Linear OA(9132, 768, F9, 44) (dual of [768, 636, 45]-code) | [i] | ✔ | |
| 10 | Linear OA(9138, 774, F9, 46) (dual of [774, 636, 47]-code) | [i] | ✔ | |
| 11 | Linear OA(9143, 780, F9, 47) (dual of [780, 637, 48]-code) | [i] | ✔ | |
| 12 | Linear OA(9142, 778, F9, 47) (dual of [778, 636, 48]-code) | [i] | ✔ | |
| 13 | Linear OA(9150, 790, F9, 48) (dual of [790, 640, 49]-code) | [i] | ✔ | |
| 14 | Linear OA(9148, 785, F9, 48) (dual of [785, 637, 49]-code) | [i] | ✔ | |
| 15 | Linear OA(9147, 783, F9, 48) (dual of [783, 636, 49]-code) | [i] | ✔ | |