Information on Result #614583
Linear OA(740, 49, F7, 32) (dual of [49, 9, 33]-code), using an extension Ce(31) of the primitive narrow-sense BCH-code C(I) with length 48 = 72−1, defining interval I = [1,31], and designed minimum distance d ≥ |I|+1 = 32
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(740, 49, F7, 31) (dual of [49, 9, 32]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(740, 49, F7, 30) (dual of [49, 9, 31]-code) | [i] | ||
| 3 | Linear OA(740, 49, F7, 29) (dual of [49, 9, 30]-code) | [i] | ||
| 4 | Linear OA(755, 73, F7, 32) (dual of [73, 18, 33]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 5 | Linear OA(750, 68, F7, 29) (dual of [68, 18, 30]-code) | [i] | ✔ | |
| 6 | Linear OA(756, 76, F7, 32) (dual of [76, 20, 33]-code) | [i] | ✔ | |
| 7 | Linear OA(750, 69, F7, 28) (dual of [69, 19, 29]-code) | [i] | ✔ | |
| 8 | Linear OA(762, 73, F7, 41) (dual of [73, 11, 42]-code) | [i] | ✔ | Construction XX with a Chain of Extended Narrow-Sense BCH Codes |
| 9 | Linear OA(761, 71, F7, 41) (dual of [71, 10, 42]-code) | [i] | ✔ | |
| 10 | Linear OA(764, 77, F7, 40) (dual of [77, 13, 41]-code) | [i] | ✔ | |
| 11 | Linear OA(752, 61, F7, 39) (dual of [61, 9, 40]-code) | [i] | ✔ | |
| 12 | Linear OA(749, 58, F7, 37) (dual of [58, 9, 38]-code) | [i] | ✔ | |
| 13 | Linear OA(760, 71, F7, 40) (dual of [71, 11, 41]-code) | [i] | ✔ | |
| 14 | Linear OA(763, 76, F7, 40) (dual of [76, 13, 41]-code) | [i] | ✔ | |
| 15 | Linear OA(750, 61, F7, 34) (dual of [61, 11, 35]-code) | [i] | ✔ | |
| 16 | Linear OA(749, 59, F7, 34) (dual of [59, 10, 35]-code) | [i] | ✔ | |
| 17 | Linear OA(747, 61, F7, 32) (dual of [61, 14, 33]-code) | [i] | ✔ | |
| 18 | Linear OA(744, 58, F7, 30) (dual of [58, 14, 31]-code) | [i] | ✔ | |
| 19 | Linear OA(745, 61, F7, 29) (dual of [61, 16, 30]-code) | [i] | ✔ | |
| 20 | Linear OA(754, 72, F7, 32) (dual of [72, 18, 33]-code) | [i] | ✔ | |
| 21 | Linear OA(753, 70, F7, 32) (dual of [70, 17, 33]-code) | [i] | ✔ | |
| 22 | Linear OA(748, 65, F7, 28) (dual of [65, 17, 29]-code) | [i] | ✔ | |
| 23 | Linear OA(751, 70, F7, 29) (dual of [70, 19, 30]-code) | [i] | ✔ | |
| 24 | Linear OA(753, 62, F7, 40) (dual of [62, 9, 41]-code) | [i] | ✔ | |
| 25 | Linear OA(748, 64, F7, 32) (dual of [64, 16, 33]-code) | [i] | ✔ | |