Information on Result #686185
Linear OA(8169, 2097153, F8, 27) (dual of [2097153, 2096984, 28]-code), using the expurgated narrow-sense BCH-code C(I) with length 2097153 | 814−1, 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(8169, 1703290, F8, 2, 27) (dual of [(1703290, 2), 3406411, 28]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(8169, 1703290, F8, 3, 27) (dual of [(1703290, 3), 5109701, 28]-NRT-code) | [i] | ||
| 3 | Digital (142, 169, 1703290)-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(8173, 2097185, F8, 27) (dual of [2097185, 2097012, 28]-code) | [i] | ✔ | |