Information on Result #686136
Linear OA(745, 49, F7, 40) (dual of [49, 4, 41]-code), using an extension Ce(39) of the primitive narrow-sense BCH-code C(I) with length 48 = 72−1, defining interval I = [1,39], and designed minimum distance d ≥ |I|+1 = 40
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
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(7103, 107, F7, 88) (dual of [107, 4, 89]-code) | [i] | Juxtaposition | |
| 2 | Linear OA(7105, 109, F7, 89) (dual of [109, 4, 90]-code) | [i] | ||
| 3 | Linear OA(752, 61, F7, 39) (dual of [61, 9, 40]-code) | [i] | ✔ | Construction XX with a Chain of Extended Narrow-Sense BCH Codes |
| 4 | Linear OA(749, 58, F7, 37) (dual of [58, 9, 38]-code) | [i] | ✔ | |
| 5 | Linear OA(760, 71, F7, 40) (dual of [71, 11, 41]-code) | [i] | ✔ | |
| 6 | Linear OA(763, 76, F7, 40) (dual of [76, 13, 41]-code) | [i] | ✔ | |
| 7 | Linear OA(757, 70, F7, 36) (dual of [70, 13, 37]-code) | [i] | ✔ | |
| 8 | Linear OA(766, 81, F7, 40) (dual of [81, 15, 41]-code) | [i] | ✔ | |
| 9 | Linear OA(763, 78, F7, 39) (dual of [78, 15, 40]-code) | [i] | ✔ | |
| 10 | Linear OA(762, 76, F7, 39) (dual of [76, 14, 40]-code) | [i] | ✔ | |
| 11 | Linear OA(756, 70, F7, 35) (dual of [70, 14, 36]-code) | [i] | ✔ | |
| 12 | Linear OA(762, 78, F7, 38) (dual of [78, 16, 39]-code) | [i] | ✔ | |
| 13 | Linear OA(753, 62, F7, 40) (dual of [62, 9, 41]-code) | [i] | ✔ | |