Information on Result #678975
Linear OA(4108, 16409, F4, 19) (dual of [16409, 16301, 20]-code), using construction X applied to C([0,9]) ⊂ C([0,6]) based on
- linear OA(499, 16385, F4, 19) (dual of [16385, 16286, 20]-code), using the expurgated narrow-sense BCH-code C(I) with length 16385 | 414−1, defining interval I = [0,9], and minimum distance d ≥ |{−9,−8,…,9}|+1 = 20 (BCH-bound) [i]
- linear OA(471, 16385, F4, 13) (dual of [16385, 16314, 14]-code), using the expurgated narrow-sense BCH-code C(I) with length 16385 | 414−1, defining interval I = [0,6], and minimum distance d ≥ |{−6,−5,…,6}|+1 = 14 (BCH-bound) [i]
- linear OA(49, 24, F4, 5) (dual of [24, 15, 6]-code), using
- discarding factors / shortening the dual code based on linear OA(49, 36, F4, 5) (dual of [36, 27, 6]-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(4108, 14719, F4, 2, 19) (dual of [(14719, 2), 29330, 20]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(4108, 14719, F4, 3, 19) (dual of [(14719, 3), 44049, 20]-NRT-code) | [i] | ||
| 3 | Digital (89, 108, 14719)-net over F4 | [i] | ||