Information on Result #614515
Linear OA(734, 49, F7, 25) (dual of [49, 15, 26]-code), using an extension Ce(24) of the primitive narrow-sense BCH-code C(I) with length 48 = 72−1, defining interval I = [1,24], and designed minimum distance d ≥ |I|+1 = 25
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(738, 56, F7, 25) (dual of [56, 18, 26]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 2 | Linear OA(740, 60, F7, 25) (dual of [60, 20, 26]-code) | [i] | ✔ | |
| 3 | Linear OA(742, 64, F7, 25) (dual of [64, 22, 26]-code) | [i] | ✔ | |
| 4 | Linear OA(743, 67, F7, 25) (dual of [67, 24, 26]-code) | [i] | ✔ | |
| 5 | Linear OA(744, 69, F7, 25) (dual of [69, 25, 26]-code) | [i] | ✔ | |
| 6 | Linear OA(749, 76, F7, 25) (dual of [76, 27, 26]-code) | [i] | ✔ | |
| 7 | Linear OA(741, 63, F7, 25) (dual of [63, 22, 26]-code) | [i] | ✔ | |
| 8 | Linear OA(764, 79, F7, 39) (dual of [79, 15, 40]-code) | [i] | ✔ | Construction XX with a Chain of Extended Narrow-Sense BCH Codes |
| 9 | Linear OA(763, 79, F7, 38) (dual of [79, 16, 39]-code) | [i] | ✔ | |
| 10 | Linear OA(766, 81, F7, 40) (dual of [81, 15, 41]-code) | [i] | ✔ | |
| 11 | Linear OA(763, 78, F7, 39) (dual of [78, 15, 40]-code) | [i] | ✔ | |
| 12 | Linear OA(762, 76, F7, 39) (dual of [76, 14, 40]-code) | [i] | ✔ | |
| 13 | Linear OA(756, 70, F7, 35) (dual of [70, 14, 36]-code) | [i] | ✔ | |
| 14 | Linear OA(762, 78, F7, 38) (dual of [78, 16, 39]-code) | [i] | ✔ | |
| 15 | Linear OA(754, 70, F7, 34) (dual of [70, 16, 35]-code) | [i] | ✔ | |
| 16 | Linear OA(747, 61, F7, 32) (dual of [61, 14, 33]-code) | [i] | ✔ | |
| 17 | Linear OA(744, 58, F7, 30) (dual of [58, 14, 31]-code) | [i] | ✔ | |
| 18 | Linear OA(745, 61, F7, 29) (dual of [61, 16, 30]-code) | [i] | ✔ | |
| 19 | Linear OA(745, 62, F7, 27) (dual of [62, 17, 28]-code) | [i] | ✔ | |
| 20 | Linear OA(739, 58, F7, 25) (dual of [58, 19, 26]-code) | [i] | ✔ | |
| 21 | Linear OA(749, 63, F7, 33) (dual of [63, 14, 34]-code) | [i] | ✔ | |
| 22 | Linear OA(748, 64, F7, 32) (dual of [64, 16, 33]-code) | [i] | ✔ | |