Information on Result #814452
Linear OOA(3158, 9852, F3, 2, 26) (dual of [(9852, 2), 19546, 27]-NRT-code), using OOA 2-folding based on linear OA(3158, 19704, F3, 26) (dual of [19704, 19546, 27]-code), using
- discarding factors / shortening the dual code based on linear OA(3158, 19705, F3, 26) (dual of [19705, 19547, 27]-code), using
- construction X applied to Ce(25) ⊂ Ce(22) [i] based on
- linear OA(3154, 19683, F3, 26) (dual of [19683, 19529, 27]-code), using an extension Ce(25) of the primitive narrow-sense BCH-code C(I) with length 19682 = 39−1, defining interval I = [1,25], and designed minimum distance d ≥ |I|+1 = 26 [i]
- linear OA(3136, 19683, F3, 23) (dual of [19683, 19547, 24]-code), using an extension Ce(22) of the primitive narrow-sense BCH-code C(I) with length 19682 = 39−1, defining interval I = [1,22], and designed minimum distance d ≥ |I|+1 = 23 [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(25) ⊂ Ce(22) [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(3158, 8098, F3, 3, 26) (dual of [(8098, 3), 24136, 27]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(3158, 8098, F3, 4, 26) (dual of [(8098, 4), 32234, 27]-NRT-code) | [i] | ||
| 3 | Linear OOA(3158, 8098, F3, 5, 26) (dual of [(8098, 5), 40332, 27]-NRT-code) | [i] | ||
| 4 | Digital (132, 158, 8098)-net over F3 | [i] | ||