Information on Result #816278
Linear OOA(3238, 9848, F3, 2, 40) (dual of [(9848, 2), 19458, 41]-NRT-code), using OOA 2-folding based on linear OA(3238, 19696, F3, 40) (dual of [19696, 19458, 41]-code), using
- construction X applied to Ce(39) ⊂ Ce(36) [i] based on
- linear OA(3235, 19683, F3, 40) (dual of [19683, 19448, 41]-code), using an extension Ce(39) of the primitive narrow-sense BCH-code C(I) with length 19682 = 39−1, defining interval I = [1,39], and designed minimum distance d ≥ |I|+1 = 40 [i]
- 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(33, 13, F3, 2) (dual of [13, 10, 3]-code), using
- Hamming code H(3,3) [i]
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(3238, 8058, F3, 3, 40) (dual of [(8058, 3), 23936, 41]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(3238, 8058, F3, 4, 40) (dual of [(8058, 4), 31994, 41]-NRT-code) | [i] | ||
| 3 | Linear OOA(3238, 8058, F3, 5, 40) (dual of [(8058, 5), 40052, 41]-NRT-code) | [i] | ||
| 4 | Digital (198, 238, 8058)-net over F3 | [i] | ||