Information on Result #614448
Linear OA(743, 115, F7, 19) (dual of [115, 72, 20]-code), using an extension Ce(18) of the narrow-sense BCH-code C(I) with length 114 | 73−1, defining interval I = [1,18], and designed minimum distance d ≥ |I|+1 = 19
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.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(743, 115, F7, 18) (dual of [115, 72, 19]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(744, 116, F7, 20) (dual of [116, 72, 21]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 3 | Linear OA(745, 120, F7, 19) (dual of [120, 75, 20]-code) | [i] | ✔ | |
| 4 | Linear OA(749, 121, F7, 22) (dual of [121, 72, 23]-code) | [i] | ✔ | |
| 5 | Linear OA(746, 123, F7, 19) (dual of [123, 77, 20]-code) | [i] | ✔ | |
| 6 | Linear OA(747, 125, F7, 19) (dual of [125, 78, 20]-code) | [i] | ✔ | |
| 7 | Linear OA(754, 126, F7, 23) (dual of [126, 72, 24]-code) | [i] | ✔ | |
| 8 | Linear OA(758, 130, F7, 24) (dual of [130, 72, 25]-code) | [i] | ✔ | Construction XX with a Chain of Extended Narrow-Sense BCH Codes |
| 9 | Linear OA(753, 127, F7, 22) (dual of [127, 74, 23]-code) | [i] | ✔ | |
| 10 | Linear OA(752, 125, F7, 22) (dual of [125, 73, 23]-code) | [i] | ✔ | |