Information on Result #614542
Linear OA(738, 49, F7, 27) (dual of [49, 11, 28]-code), using an extension Ce(26) of the primitive narrow-sense BCH-code C(I) with length 48 = 72−1, defining interval I = [1,26], and designed minimum distance d ≥ |I|+1 = 27
Mode: Constructive and linear.
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
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(746, 64, F7, 27) (dual of [64, 18, 28]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 2 | Linear OA(747, 67, F7, 27) (dual of [67, 20, 28]-code) | [i] | ✔ | |
| 3 | Linear OA(748, 69, F7, 27) (dual of [69, 21, 28]-code) | [i] | ✔ | |
| 4 | Linear OA(763, 74, F7, 41) (dual of [74, 11, 42]-code) | [i] | ✔ | Construction XX with a Chain of Extended Narrow-Sense BCH Codes |
| 5 | Linear OA(762, 73, F7, 41) (dual of [73, 11, 42]-code) | [i] | ✔ | |
| 6 | Linear OA(761, 71, F7, 41) (dual of [71, 10, 42]-code) | [i] | ✔ | |
| 7 | Linear OA(760, 71, F7, 40) (dual of [71, 11, 41]-code) | [i] | ✔ | |
| 8 | Linear OA(757, 70, F7, 36) (dual of [70, 13, 37]-code) | [i] | ✔ | |
| 9 | Linear OA(766, 81, F7, 40) (dual of [81, 15, 41]-code) | [i] | ✔ | |
| 10 | Linear OA(750, 61, F7, 34) (dual of [61, 11, 35]-code) | [i] | ✔ | |
| 11 | Linear OA(749, 59, F7, 34) (dual of [59, 10, 35]-code) | [i] | ✔ | |
| 12 | Linear OA(748, 60, F7, 33) (dual of [60, 12, 34]-code) | [i] | ✔ | |
| 13 | Linear OA(745, 62, F7, 27) (dual of [62, 17, 28]-code) | [i] | ✔ | |
| 14 | Linear OA(744, 61, F7, 27) (dual of [61, 17, 28]-code) | [i] | ✔ | |