Information on Result #1323680
Linear OA(4197, 16441, F4, 35) (dual of [16441, 16244, 36]-code), using construction X applied to C([0,17]) ⊂ C([0,13]) based on
- linear OA(4183, 16385, F4, 35) (dual of [16385, 16202, 36]-code), using the expurgated narrow-sense BCH-code C(I) with length 16385 | 414−1, defining interval I = [0,17], and minimum distance d ≥ |{−17,−16,…,17}|+1 = 36 (BCH-bound) [i]
- linear OA(4141, 16385, F4, 27) (dual of [16385, 16244, 28]-code), using the expurgated narrow-sense BCH-code C(I) with length 16385 | 414−1, defining interval I = [0,13], and minimum distance d ≥ |{−13,−12,…,13}|+1 = 28 (BCH-bound) [i]
- linear OA(414, 56, F4, 7) (dual of [56, 42, 8]-code), using
- discarding factors / shortening the dual code based on linear OA(414, 65, F4, 7) (dual of [65, 51, 8]-code), using
- a “GraXX†code from Grassl’s database [i]
- discarding factors / shortening the dual code based on linear OA(414, 65, F4, 7) (dual of [65, 51, 8]-code), using
Mode: 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(4197, 16441, F4, 2, 35) (dual of [(16441, 2), 32685, 36]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(4197, 16441, F4, 3, 35) (dual of [(16441, 3), 49126, 36]-NRT-code) | [i] | ||
| 3 | Digital (162, 197, 16441)-net over F4 | [i] | ||
| 4 | Linear OA(4198, 16443, F4, 35) (dual of [16443, 16245, 36]-code) | [i] | Construction X with Varšamov Bound | |
| 5 | Linear OA(4199, 16445, F4, 35) (dual of [16445, 16246, 36]-code) | [i] | ||
| 6 | Linear OOA(4197, 8220, F4, 2, 35) (dual of [(8220, 2), 16243, 36]-NRT-code) | [i] | OOA Folding | |