Information on Result #815882
Linear OOA(3197, 3290, F3, 2, 37) (dual of [(3290, 2), 6383, 38]-NRT-code), using OOA 2-folding based on linear OA(3197, 6580, F3, 37) (dual of [6580, 6383, 38]-code), using
- discarding factors / shortening the dual code based on linear OA(3197, 6581, F3, 37) (dual of [6581, 6384, 38]-code), using
- construction X applied to Ce(36) ⊂ Ce(33) [i] based on
- linear OA(3193, 6561, F3, 37) (dual of [6561, 6368, 38]-code), using an extension Ce(36) of the primitive narrow-sense BCH-code C(I) with length 6560 = 38−1, defining interval I = [1,36], and designed minimum distance d ≥ |I|+1 = 37 [i]
- linear OA(3177, 6561, F3, 34) (dual of [6561, 6384, 35]-code), using an extension Ce(33) of the primitive narrow-sense BCH-code C(I) with length 6560 = 38−1, defining interval I = [1,33], and designed minimum distance d ≥ |I|+1 = 34 [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(36) ⊂ Ce(33) [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(3197, 3290, F3, 3, 37) (dual of [(3290, 3), 9673, 38]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(3197, 3290, F3, 4, 37) (dual of [(3290, 4), 12963, 38]-NRT-code) | [i] | ||
| 3 | Linear OOA(3197, 3290, F3, 5, 37) (dual of [(3290, 5), 16253, 38]-NRT-code) | [i] | ||
| 4 | Digital (160, 197, 3290)-net over F3 | [i] | ||