Information on Result #662388
Linear OA(4198, 262166, F4, 27) (dual of [262166, 261968, 28]-code), using (u, u+v)-construction based on
- linear OA(417, 21, F4, 13) (dual of [21, 4, 14]-code), using
- 2 times truncation [i] based on linear OA(419, 23, F4, 15) (dual of [23, 4, 16]-code), using
- construction X applied to C1 ⊂ C2 with C1 a [17,1,16]-code [i] based on
- 2 times truncation [i] based on linear OA(419, 23, F4, 15) (dual of [23, 4, 16]-code), using
- linear OA(4181, 262145, F4, 27) (dual of [262145, 261964, 28]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 262145 | 418−1, 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(4198, 188231, F4, 2, 27) (dual of [(188231, 2), 376264, 28]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(4198, 188231, F4, 3, 27) (dual of [(188231, 3), 564495, 28]-NRT-code) | [i] | ||
| 3 | Digital (171, 198, 188231)-net over F4 | [i] | ||