Information on Result #720427
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 = {51,52,…,91}, 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(9122, 759, F9, 42) (dual of [759, 637, 43]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 2 | Linear OA(9121, 758, F9, 42) (dual of [758, 637, 43]-code) | [i] | ✔ | |
| 3 | Linear OA(9119, 753, F9, 42) (dual of [753, 634, 43]-code) | [i] | ✔ | |
| 4 | Linear OA(9125, 762, F9, 43) (dual of [762, 637, 44]-code) | [i] | ✔ | |
| 5 | Linear OA(9129, 747, F9, 47) (dual of [747, 618, 48]-code) | [i] | ✔ | |
| 6 | Linear OA(9134, 753, F9, 48) (dual of [753, 619, 49]-code) | [i] | ✔ | |
| 7 | Linear OA(9139, 758, F9, 49) (dual of [758, 619, 50]-code) | [i] | ✔ | |
| 8 | Linear OA(9133, 751, F9, 48) (dual of [751, 618, 49]-code) | [i] | ✔ | |
| 9 | Linear OA(9138, 757, F9, 49) (dual of [757, 619, 50]-code) | [i] | ✔ | |
| 10 | Linear OA(9143, 762, F9, 50) (dual of [762, 619, 51]-code) | [i] | ✔ | |