Information on Result #815899
Linear OOA(3221, 9852, F3, 2, 37) (dual of [(9852, 2), 19483, 38]-NRT-code), using OOA 2-folding based on linear OA(3221, 19704, F3, 37) (dual of [19704, 19483, 38]-code), using
- discarding factors / shortening the dual code based on linear OA(3221, 19705, F3, 37) (dual of [19705, 19484, 38]-code), using
- construction X applied to Ce(36) ⊂ Ce(33) [i] based on
- linear OA(3217, 19683, F3, 37) (dual of [19683, 19466, 38]-code), using an extension Ce(36) of the primitive narrow-sense BCH-code C(I) with length 19682 = 39−1, defining interval I = [1,36], and designed minimum distance d ≥ |I|+1 = 37 [i]
- linear OA(3199, 19683, F3, 34) (dual of [19683, 19484, 35]-code), using an extension Ce(33) of the primitive narrow-sense BCH-code C(I) with length 19682 = 39−1, defining interval I = [1,33], and designed minimum distance d ≥ |I|+1 = 34 [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(36) ⊂ Ce(33) [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(3221, 7978, F3, 3, 37) (dual of [(7978, 3), 23713, 38]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(3221, 7978, F3, 4, 37) (dual of [(7978, 4), 31691, 38]-NRT-code) | [i] | ||
| 3 | Linear OOA(3221, 7978, F3, 5, 37) (dual of [(7978, 5), 39669, 38]-NRT-code) | [i] | ||
| 4 | Digital (184, 221, 7978)-net over F3 | [i] | ||