Information on Result #686186
Linear OA(8155, 2097153, F8, 25) (dual of [2097153, 2096998, 26]-code), using the expurgated narrow-sense BCH-code C(I) with length 2097153 | 814−1, defining interval I = [0,12], and minimum distance d ≥ |{−12,−11,…,12}|+1 = 26 (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(8155, 1500136, F8, 2, 25) (dual of [(1500136, 2), 3000117, 26]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(8155, 1500136, F8, 3, 25) (dual of [(1500136, 3), 4500253, 26]-NRT-code) | [i] | ||
| 3 | Digital (130, 155, 1500136)-net over F8 | [i] | ||
| 4 | Linear OA(8170, 2097168, F8, 27) (dual of [2097168, 2096998, 28]-code) | [i] | ✔ | Construction X with Cyclic Codes |
| 5 | Linear OA(8156, 2097168, F8, 25) (dual of [2097168, 2097012, 26]-code) | [i] | ✔ | |
| 6 | Linear OA(8159, 2097185, F8, 25) (dual of [2097185, 2097026, 26]-code) | [i] | ✔ | |
| 7 | Linear OA(8162, 2097202, F8, 25) (dual of [2097202, 2097040, 26]-code) | [i] | ✔ | |
| 8 | Linear OA(8168, 2097218, F8, 25) (dual of [2097218, 2097050, 26]-code) | [i] | ✔ | |
| 9 | Linear OA(8166, 2097218, F8, 24) (dual of [2097218, 2097052, 25]-code) | [i] | ✔ | |
| 10 | Linear OA(8167, 2097221, F8, 24) (dual of [2097221, 2097054, 25]-code) | [i] | ✔ | |
| 11 | Linear OA(8156, 2097183, F8, 23) (dual of [2097183, 2097027, 24]-code) | [i] | ✔ | Construction X4 with Cyclic Codes |