Information on Result #675486
Linear OA(3109, 6581, F3, 20) (dual of [6581, 6472, 21]-code), using construction X applied to Ce(19) ⊂ Ce(16) based on
- linear OA(3105, 6561, F3, 20) (dual of [6561, 6456, 21]-code), using an extension Ce(19) of the primitive narrow-sense BCH-code C(I) with length 6560 = 38−1, defining interval I = [1,19], and designed minimum distance d ≥ |I|+1 = 20 [i]
- linear OA(389, 6561, F3, 17) (dual of [6561, 6472, 18]-code), using an extension Ce(16) of the primitive narrow-sense BCH-code C(I) with length 6560 = 38−1, defining interval I = [1,16], and designed minimum distance d ≥ |I|+1 = 17 [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
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(3109, 3290, F3, 2, 20) (dual of [(3290, 2), 6471, 21]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(3109, 2193, F3, 3, 20) (dual of [(2193, 3), 6470, 21]-NRT-code) | [i] | ||
| 3 | Linear OOA(3109, 1645, F3, 4, 20) (dual of [(1645, 4), 6471, 21]-NRT-code) | [i] | ||
| 4 | Linear OOA(3109, 1316, F3, 5, 20) (dual of [(1316, 5), 6471, 21]-NRT-code) | [i] | ||