Information on Result #712463
Linear OA(735, 48, F7, 25) (dual of [48, 13, 26]-code), using the primitive BCH-code C(I) with length 48 = 72−1, defining interval I = {7,8,…,31}, and designed minimum distance d ≥ |I|+1 = 26
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.
Compare with Markus Grassl’s online database of code parameters.
Other Results with Identical Parameters
- Contraction (with Narrow-Sense BCH-Code) (hidden) [i]
- Primitive Cyclic Codes (BCH-Bound) (hidden) [i]
- Primitive Cyclic Codes (BCH-Bound) (hidden) [i]
- Primitive Narrow-Sense BCH-Codes [i]
- Primitive Cyclic Codes (BCH-Bound) (hidden) [i]
- Primitive BCH-Codes (hidden) [i]
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(754, 74, F7, 31) (dual of [74, 20, 32]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 2 | Linear OA(752, 72, F7, 30) (dual of [72, 20, 31]-code) | [i] | ✔ | |
| 3 | Linear OA(749, 66, F7, 30) (dual of [66, 17, 31]-code) | [i] | ✔ | |
| 4 | Linear OA(747, 64, F7, 29) (dual of [64, 17, 30]-code) | [i] | ✔ | |
| 5 | Linear OA(759, 71, F7, 39) (dual of [71, 12, 40]-code) | [i] | ✔ | |
| 6 | Linear OA(755, 67, F7, 36) (dual of [67, 12, 37]-code) | [i] | ✔ | |
| 7 | Linear OA(758, 69, F7, 39) (dual of [69, 11, 40]-code) | [i] | ✔ | |
| 8 | Linear OA(755, 66, F7, 37) (dual of [66, 11, 38]-code) | [i] | ✔ | |
| 9 | Linear OA(761, 73, F7, 40) (dual of [73, 12, 41]-code) | [i] | ✔ | |