Information on Result #953141
Linear OOA(3130, 6565, F3, 3, 22) (dual of [(6565, 3), 19565, 23]-NRT-code), using OOA 3-folding based on linear OA(3130, 19695, F3, 22) (dual of [19695, 19565, 23]-code), using
- discarding factors / shortening the dual code based on linear OA(3130, 19696, F3, 22) (dual of [19696, 19566, 23]-code), using
- construction X applied to Ce(21) ⊂ Ce(18) [i] based on
- linear OA(3127, 19683, F3, 22) (dual of [19683, 19556, 23]-code), using an extension Ce(21) of the primitive narrow-sense BCH-code C(I) with length 19682 = 39−1, defining interval I = [1,21], and designed minimum distance d ≥ |I|+1 = 22 [i]
- linear OA(3109, 19683, F3, 19) (dual of [19683, 19574, 20]-code), using an extension Ce(18) of the primitive narrow-sense BCH-code C(I) with length 19682 = 39−1, defining interval I = [1,18], and designed minimum distance d ≥ |I|+1 = 19 [i]
- linear OA(33, 13, F3, 2) (dual of [13, 10, 3]-code), using
- Hamming code H(3,3) [i]
- construction X applied to Ce(21) ⊂ Ce(18) [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(3130, 6565, F3, 4, 22) (dual of [(6565, 4), 26130, 23]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(3130, 6565, F3, 5, 22) (dual of [(6565, 5), 32695, 23]-NRT-code) | [i] | ||
| 3 | Digital (108, 130, 6565)-net over F3 | [i] | ||