Information on Result #954006
Linear OOA(3227, 59073, F3, 3, 29) (dual of [(59073, 3), 176992, 30]-NRT-code), using OOA 3-folding based on linear OA(3227, 177219, F3, 29) (dual of [177219, 176992, 30]-code), using
- 2 times code embedding in larger space [i] based on linear OA(3225, 177217, F3, 29) (dual of [177217, 176992, 30]-code), using
- construction X applied to Ce(28) ⊂ Ce(21) [i] based on
- linear OA(3210, 177147, F3, 29) (dual of [177147, 176937, 30]-code), using an extension Ce(28) of the primitive narrow-sense BCH-code C(I) with length 177146 = 311−1, defining interval I = [1,28], and designed minimum distance d ≥ |I|+1 = 29 [i]
- linear OA(3155, 177147, F3, 22) (dual of [177147, 176992, 23]-code), using an extension Ce(21) of the primitive narrow-sense BCH-code C(I) with length 177146 = 311−1, defining interval I = [1,21], and designed minimum distance d ≥ |I|+1 = 22 [i]
- linear OA(315, 70, F3, 6) (dual of [70, 55, 7]-code), using
- discarding factors / shortening the dual code based on linear OA(315, 85, F3, 6) (dual of [85, 70, 7]-code), using
- construction X applied to Ce(28) ⊂ Ce(21) [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(3228, 59073, F3, 3, 29) (dual of [(59073, 3), 176991, 30]-NRT-code) | [i] | OOA Duplication | |