Information on Result #2272568
Linear OA(4258, large, F4, 27) (dual of [large, large−258, 28]-code), using 17 times code embedding in larger space based on linear OA(4241, large, F4, 27) (dual of [large, large−241, 28]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 16777217 | 424−1, defining interval I = [0,13], and minimum distance d ≥ |{−13,−12,…,13}|+1 = 28 (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(4258, 5244205, F4, 2, 27) (dual of [(5244205, 2), 10488152, 28]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(4258, 5244205, F4, 3, 27) (dual of [(5244205, 3), 15732357, 28]-NRT-code) | [i] | ||
| 3 | Digital (231, 258, 5244205)-net over F4 | [i] | ||