Information on Result #814878
Linear OOA(3183, 9865, F3, 2, 29) (dual of [(9865, 2), 19547, 30]-NRT-code), using OOA 2-folding based on linear OA(3183, 19730, F3, 29) (dual of [19730, 19547, 30]-code), using
- construction X applied to Ce(28) ⊂ Ce(22) [i] based on
- linear OA(3172, 19683, F3, 29) (dual of [19683, 19511, 30]-code), using an extension Ce(28) of the primitive narrow-sense BCH-code C(I) with length 19682 = 39−1, defining interval I = [1,28], and designed minimum distance d ≥ |I|+1 = 29 [i]
- 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(311, 47, F3, 5) (dual of [47, 36, 6]-code), using
- discarding factors / shortening the dual code based on linear OA(311, 85, F3, 5) (dual of [85, 74, 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(3185, 9866, F3, 2, 29) (dual of [(9866, 2), 19547, 30]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 2 | Linear OOA(3184, 9865, F3, 2, 29) (dual of [(9865, 2), 19546, 30]-NRT-code) | [i] | OOA Duplication | |
| 3 | Linear OOA(3183, 9865, F3, 3, 29) (dual of [(9865, 3), 29412, 30]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 4 | Linear OOA(3183, 9865, F3, 4, 29) (dual of [(9865, 4), 39277, 30]-NRT-code) | [i] | ||
| 5 | Linear OOA(3183, 9865, F3, 5, 29) (dual of [(9865, 5), 49142, 30]-NRT-code) | [i] | ||
| 6 | Digital (154, 183, 9865)-net over F3 | [i] | ||