Information on Result #814736
Linear OOA(3166, 9848, F3, 2, 28) (dual of [(9848, 2), 19530, 29]-NRT-code), using OOA 2-folding based on linear OA(3166, 19696, F3, 28) (dual of [19696, 19530, 29]-code), using
- construction X applied to Ce(27) ⊂ Ce(24) [i] based on
- linear OA(3163, 19683, F3, 28) (dual of [19683, 19520, 29]-code), using an extension Ce(27) of the primitive narrow-sense BCH-code C(I) with length 19682 = 39−1, defining interval I = [1,27], and designed minimum distance d ≥ |I|+1 = 28 [i]
- linear OA(3145, 19683, F3, 25) (dual of [19683, 19538, 26]-code), using an extension Ce(24) of the primitive narrow-sense BCH-code C(I) with length 19682 = 39−1, defining interval I = [1,24], and designed minimum distance d ≥ |I|+1 = 25 [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(3166, 6839, F3, 3, 28) (dual of [(6839, 3), 20351, 29]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(3166, 6839, F3, 4, 28) (dual of [(6839, 4), 27190, 29]-NRT-code) | [i] | ||
| 3 | Linear OOA(3166, 6839, F3, 5, 28) (dual of [(6839, 5), 34029, 29]-NRT-code) | [i] | ||
| 4 | Digital (138, 166, 6839)-net over F3 | [i] | ||