Information on Result #686407
Linear OA(8145, 262145, F8, 27) (dual of [262145, 262000, 28]-code), using the expurgated narrow-sense BCH-code C(I) with length 262145 | 812−1, defining interval I = [0,13], and minimum distance d ≥ |{−13,−12,…,13}|+1 = 28 (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(8145, 231365, F8, 2, 27) (dual of [(231365, 2), 462585, 28]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(8145, 231365, F8, 3, 27) (dual of [(231365, 3), 693950, 28]-NRT-code) | [i] | ||
| 3 | Digital (118, 145, 231365)-net over F8 | [i] | ||
| 4 | Linear OA(8158, 262158, F8, 29) (dual of [262158, 262000, 30]-code) | [i] | ✔ | Construction X with Cyclic Codes |
| 5 | Linear OA(8146, 262158, F8, 27) (dual of [262158, 262012, 28]-code) | [i] | ✔ | |
| 6 | Linear OA(8173, 262173, F8, 31) (dual of [262173, 262000, 32]-code) | [i] | ✔ | |
| 7 | Linear OA(8149, 262173, F8, 27) (dual of [262173, 262024, 28]-code) | [i] | ✔ | |
| 8 | Linear OA(8152, 262188, F8, 27) (dual of [262188, 262036, 28]-code) | [i] | ✔ | |