Information on Result #678322
Linear OA(4253, 262217, F4, 35) (dual of [262217, 261964, 36]-code), using construction X applied to C([0,17]) ⊂ C([0,13]) based on
- linear OA(4235, 262145, F4, 35) (dual of [262145, 261910, 36]-code), using the expurgated narrow-sense BCH-code C(I) with length 262145 | 418−1, defining interval I = [0,17], and minimum distance d ≥ |{−17,−16,…,17}|+1 = 36 (BCH-bound) [i]
- 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]
- linear OA(418, 72, F4, 7) (dual of [72, 54, 8]-code), using
- discarding factors / shortening the dual code based on linear OA(418, 85, F4, 7) (dual of [85, 67, 8]-code), using
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(4253, 173666, F4, 2, 35) (dual of [(173666, 2), 347079, 36]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(4253, 173666, F4, 3, 35) (dual of [(173666, 3), 520745, 36]-NRT-code) | [i] | ||
| 3 | Digital (218, 253, 173666)-net over F4 | [i] | ||