Information on Result #955000
Linear OOA(3241, 6581, F3, 3, 38) (dual of [(6581, 3), 19502, 39]-NRT-code), using OOA 3-folding based on linear OA(3241, 19743, F3, 38) (dual of [19743, 19502, 39]-code), using
- construction X applied to Ce(37) ⊂ Ce(30) [i] based on
- linear OA(3226, 19683, F3, 38) (dual of [19683, 19457, 39]-code), using an extension Ce(37) of the primitive narrow-sense BCH-code C(I) with length 19682 = 39−1, defining interval I = [1,37], and designed minimum distance d ≥ |I|+1 = 38 [i]
- linear OA(3181, 19683, F3, 31) (dual of [19683, 19502, 32]-code), using an extension Ce(30) of the primitive narrow-sense BCH-code C(I) with length 19682 = 39−1, defining interval I = [1,30], and designed minimum distance d ≥ |I|+1 = 31 [i]
- linear OA(315, 60, F3, 6) (dual of [60, 45, 7]-code), using
- discarding factors / shortening the dual code based on linear OA(315, 85, F3, 6) (dual of [85, 70, 7]-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(3244, 6582, F3, 3, 38) (dual of [(6582, 3), 19502, 39]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 2 | Linear OOA(3242, 6581, F3, 3, 38) (dual of [(6581, 3), 19501, 39]-NRT-code) | [i] | OOA Duplication | |
| 3 | Linear OOA(3243, 6581, F3, 3, 38) (dual of [(6581, 3), 19500, 39]-NRT-code) | [i] | ||