Information on Result #2270140
Linear OA(478, large, F4, 9) (dual of [large, large−78, 10]-code), using 5 times code embedding in larger space based on linear OA(473, large, F4, 9) (dual of [large, large−73, 10]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 16777217 | 424−1, defining interval I = [0,4], and minimum distance d ≥ |{−4,−3,…,4}|+1 = 10 (BCH-bound) [i]
Mode: Constructive and linear.
Optimality
Show details for fixed k and m, k and t, m 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(478, 4725599, F4, 2, 9) (dual of [(4725599, 2), 9451120, 10]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(478, 4725599, F4, 3, 9) (dual of [(4725599, 3), 14176719, 10]-NRT-code) | [i] | ||
| 3 | Digital (69, 78, 4725599)-net over F4 | [i] | ||