Information on Result #814287
Linear OOA(3133, 3290, F3, 2, 25) (dual of [(3290, 2), 6447, 26]-NRT-code), using OOA 2-folding based on linear OA(3133, 6580, F3, 25) (dual of [6580, 6447, 26]-code), using
- discarding factors / shortening the dual code based on linear OA(3133, 6581, F3, 25) (dual of [6581, 6448, 26]-code), using
- construction X applied to Ce(24) ⊂ Ce(21) [i] based on
- linear OA(3129, 6561, F3, 25) (dual of [6561, 6432, 26]-code), using an extension Ce(24) of the primitive narrow-sense BCH-code C(I) with length 6560 = 38−1, defining interval I = [1,24], and designed minimum distance d ≥ |I|+1 = 25 [i]
- linear OA(3113, 6561, F3, 22) (dual of [6561, 6448, 23]-code), using an extension Ce(21) of the primitive narrow-sense BCH-code C(I) with length 6560 = 38−1, defining interval I = [1,21], and designed minimum distance d ≥ |I|+1 = 22 [i]
- linear OA(34, 20, F3, 2) (dual of [20, 16, 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(3133, 3119, F3, 3, 25) (dual of [(3119, 3), 9224, 26]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(3133, 3119, F3, 4, 25) (dual of [(3119, 4), 12343, 26]-NRT-code) | [i] | ||
| 3 | Linear OOA(3133, 3119, F3, 5, 25) (dual of [(3119, 5), 15462, 26]-NRT-code) | [i] | ||
| 4 | Digital (108, 133, 3119)-net over F3 | [i] | ||