Information on Result #686403
Linear OA(8157, 262145, F8, 29) (dual of [262145, 261988, 30]-code), using the expurgated narrow-sense BCH-code C(I) with length 262145 | 812−1, defining interval I = [0,14], and minimum distance d ≥ |{−14,−13,…,14}|+1 = 30 (BCH-bound)
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 OOA(8157, 257712, F8, 2, 29) (dual of [(257712, 2), 515267, 30]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(8157, 257712, F8, 3, 29) (dual of [(257712, 3), 772979, 30]-NRT-code) | [i] | ||
| 3 | Digital (128, 157, 257712)-net over F8 | [i] | ||
| 4 | Linear OA(8170, 262158, F8, 31) (dual of [262158, 261988, 32]-code) | [i] | ✔ | Construction X with Cyclic Codes |
| 5 | Linear OA(8172, 262155, F8, 33) (dual of [262155, 261983, 34]-code) | [i] | ✔ | |
| 6 | Linear OA(8173, 262161, F8, 33) (dual of [262161, 261988, 34]-code) | [i] | ✔ | |
| 7 | Linear OA(8158, 262158, F8, 29) (dual of [262158, 262000, 30]-code) | [i] | ✔ | |
| 8 | Linear OA(8161, 262173, F8, 29) (dual of [262173, 262012, 30]-code) | [i] | ✔ | |
| 9 | Linear OA(8164, 262188, F8, 29) (dual of [262188, 262024, 30]-code) | [i] | ✔ | |