Information on Result #736953
Linear OA(3187, 19743, F3, 29) (dual of [19743, 19556, 30]-code), using construction X applied to Ce(28) ⊂ Ce(21) based on
- linear OA(3172, 19683, F3, 29) (dual of [19683, 19511, 30]-code), using an extension Ce(28) of the primitive narrow-sense BCH-code C(I) with length 19682 = 39−1, defining interval I = [1,28], and designed minimum distance d ≥ |I|+1 = 29 [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(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 OA(3189, 19745, F3, 29) (dual of [19745, 19556, 30]-code) | [i] | Code Embedding in Larger Space | |
| 2 | Linear OA(3190, 19746, F3, 29) (dual of [19746, 19556, 30]-code) | [i] | ||
| 3 | Linear OOA(3187, 9871, F3, 2, 29) (dual of [(9871, 2), 19555, 30]-NRT-code) | [i] | OOA Folding | |
| 4 | Linear OOA(3187, 6581, F3, 3, 29) (dual of [(6581, 3), 19556, 30]-NRT-code) | [i] | ||
| 5 | Linear OOA(3187, 4935, F3, 4, 29) (dual of [(4935, 4), 19553, 30]-NRT-code) | [i] | ||
| 6 | Linear OOA(3187, 3948, F3, 5, 29) (dual of [(3948, 5), 19553, 30]-NRT-code) | [i] | ||