Information on Result #814044
Linear OOA(3140, 9852, F3, 2, 23) (dual of [(9852, 2), 19564, 24]-NRT-code), using OOA 2-folding based on linear OA(3140, 19704, F3, 23) (dual of [19704, 19564, 24]-code), using
- discarding factors / shortening the dual code based on linear OA(3140, 19705, F3, 23) (dual of [19705, 19565, 24]-code), using
- construction X applied to Ce(22) ⊂ Ce(19) [i] based on
- linear OA(3136, 19683, F3, 23) (dual of [19683, 19547, 24]-code), using an extension Ce(22) of the primitive narrow-sense BCH-code C(I) with length 19682 = 39−1, defining interval I = [1,22], and designed minimum distance d ≥ |I|+1 = 23 [i]
- linear OA(3118, 19683, F3, 20) (dual of [19683, 19565, 21]-code), using an extension Ce(19) of the primitive narrow-sense BCH-code C(I) with length 19682 = 39−1, defining interval I = [1,19], and designed minimum distance d ≥ |I|+1 = 20 [i]
- linear OA(34, 22, F3, 2) (dual of [22, 18, 3]-code), using
- discarding factors / shortening the dual code based on linear OA(34, 40, F3, 2) (dual of [40, 36, 3]-code), using
- Hamming code H(4,3) [i]
- discarding factors / shortening the dual code based on linear OA(34, 40, F3, 2) (dual of [40, 36, 3]-code), using
- construction X applied to Ce(22) ⊂ Ce(19) [i] based on
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(3140, 8117, F3, 3, 23) (dual of [(8117, 3), 24211, 24]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(3140, 8117, F3, 4, 23) (dual of [(8117, 4), 32328, 24]-NRT-code) | [i] | ||
| 3 | Linear OOA(3140, 8117, F3, 5, 23) (dual of [(8117, 5), 40445, 24]-NRT-code) | [i] | ||
| 4 | Digital (117, 140, 8117)-net over F3 | [i] | ||