Information on Result #686094
Linear OA(741, 49, F7, 33) (dual of [49, 8, 34]-code), using an extension Ce(32) of the primitive narrow-sense BCH-code C(I) with length 48 = 72−1, defining interval I = [1,32], and designed minimum distance d ≥ |I|+1 = 33
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
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(749, 57, F7, 34) (dual of [57, 8, 35]-code) | [i] | Juxtaposition | |
| 2 | Linear OA(750, 58, F7, 35) (dual of [58, 8, 36]-code) | [i] | ||
| 3 | Linear OA(752, 60, F7, 36) (dual of [60, 8, 37]-code) | [i] | ||
| 4 | Linear OA(753, 61, F7, 37) (dual of [61, 8, 38]-code) | [i] | ||
| 5 | Linear OA(755, 63, F7, 38) (dual of [63, 8, 39]-code) | [i] | ||
| 6 | Linear OA(756, 64, F7, 39) (dual of [64, 8, 40]-code) | [i] | ||
| 7 | Linear OA(757, 65, F7, 40) (dual of [65, 8, 41]-code) | [i] | ||
| 8 | Linear OA(758, 66, F7, 41) (dual of [66, 8, 42]-code) | [i] | ||
| 9 | Linear OA(759, 67, F7, 42) (dual of [67, 8, 43]-code) | [i] | ||
| 10 | Linear OA(763, 71, F7, 44) (dual of [71, 8, 45]-code) | [i] | ||
| 11 | Linear OA(764, 72, F7, 45) (dual of [72, 8, 46]-code) | [i] | ||
| 12 | Linear OA(765, 73, F7, 46) (dual of [73, 8, 47]-code) | [i] | ||
| 13 | Linear OA(768, 76, F7, 48) (dual of [76, 8, 49]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 14 | Linear OA(766, 74, F7, 47) (dual of [74, 8, 48]-code) | [i] | ✔ | |
| 15 | Linear OA(764, 72, F7, 46) (dual of [72, 8, 47]-code) | [i] | ✔ | |
| 16 | Linear OA(758, 66, F7, 42) (dual of [66, 8, 43]-code) | [i] | ✔ | |
| 17 | Linear OA(760, 68, F7, 43) (dual of [68, 8, 44]-code) | [i] | ✔ | Construction XX with a Chain of Extended Narrow-Sense BCH Codes |
| 18 | Linear OA(763, 74, F7, 41) (dual of [74, 11, 42]-code) | [i] | ✔ | |
| 19 | Linear OA(752, 61, F7, 39) (dual of [61, 9, 40]-code) | [i] | ✔ | |
| 20 | Linear OA(749, 58, F7, 37) (dual of [58, 9, 38]-code) | [i] | ✔ | |
| 21 | Linear OA(748, 60, F7, 33) (dual of [60, 12, 34]-code) | [i] | ✔ | |
| 22 | Linear OA(756, 74, F7, 33) (dual of [74, 18, 34]-code) | [i] | ✔ | |
| 23 | Linear OA(755, 72, F7, 33) (dual of [72, 17, 34]-code) | [i] | ✔ | |
| 24 | Linear OA(753, 62, F7, 40) (dual of [62, 9, 41]-code) | [i] | ✔ | |
| 25 | Linear OA(749, 63, F7, 33) (dual of [63, 14, 34]-code) | [i] | ✔ | |