Information on Result #662392
Linear OA(4220, 1048602, F4, 27) (dual of [1048602, 1048382, 28]-code), using (u, u+v)-construction based on
- linear OA(419, 25, F4, 13) (dual of [25, 6, 14]-code), using
- discarding factors / shortening the dual code based on linear OA(419, 26, F4, 13) (dual of [26, 7, 14]-code), using
- 2 times truncation [i] based on linear OA(421, 28, F4, 15) (dual of [28, 7, 16]-code), using
- discarding factors / shortening the dual code based on linear OA(419, 26, F4, 13) (dual of [26, 7, 14]-code), using
- linear OA(4201, 1048577, F4, 27) (dual of [1048577, 1048376, 28]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 1048577 | 420−1, 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, 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(4220, 637583, F4, 2, 27) (dual of [(637583, 2), 1274946, 28]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(4220, 637583, F4, 3, 27) (dual of [(637583, 3), 1912529, 28]-NRT-code) | [i] | ||
| 3 | Digital (193, 220, 637583)-net over F4 | [i] | ||