Information on Result #813687
Linear OOA(3129, 9865, F3, 2, 20) (dual of [(9865, 2), 19601, 21]-NRT-code), using OOA 2-folding based on linear OA(3129, 19730, F3, 20) (dual of [19730, 19601, 21]-code), using
- construction X applied to Ce(19) ⊂ Ce(13) [i] based on
- 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(382, 19683, F3, 14) (dual of [19683, 19601, 15]-code), using an extension Ce(13) of the primitive narrow-sense BCH-code C(I) with length 19682 = 39−1, defining interval I = [1,13], and designed minimum distance d ≥ |I|+1 = 14 [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(3130, 9865, F3, 2, 20) (dual of [(9865, 2), 19600, 21]-NRT-code) | [i] | OOA Duplication | |
| 2 | Linear OOA(3129, 9865, F3, 3, 20) (dual of [(9865, 3), 29466, 21]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 3 | Linear OOA(3129, 9865, F3, 4, 20) (dual of [(9865, 4), 39331, 21]-NRT-code) | [i] | ||
| 4 | Linear OOA(3129, 9865, F3, 5, 20) (dual of [(9865, 5), 49196, 21]-NRT-code) | [i] | ||
| 5 | Digital (109, 129, 9865)-net over F3 | [i] | ||