Information on Result #814302
Linear OOA(3150, 9853, F3, 2, 25) (dual of [(9853, 2), 19556, 26]-NRT-code), using OOA 2-folding based on linear OA(3150, 19706, F3, 25) (dual of [19706, 19556, 26]-code), using
- 1 times code embedding in larger space [i] based on linear OA(3149, 19705, F3, 25) (dual of [19705, 19556, 26]-code), using
- construction X applied to Ce(24) ⊂ Ce(21) [i] based on
- 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(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(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(24) ⊂ 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(3150, 7317, F3, 3, 25) (dual of [(7317, 3), 21801, 26]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(3150, 7317, F3, 4, 25) (dual of [(7317, 4), 29118, 26]-NRT-code) | [i] | ||
| 3 | Linear OOA(3150, 7317, F3, 5, 25) (dual of [(7317, 5), 36435, 26]-NRT-code) | [i] | ||
| 4 | Digital (125, 150, 7317)-net over F3 | [i] | ||