Information on Result #736928
Linear OA(3174, 19730, F3, 28) (dual of [19730, 19556, 29]-code), using construction X applied to Ce(27) ⊂ Ce(21) based on
- linear OA(3163, 19683, F3, 28) (dual of [19683, 19520, 29]-code), using an extension Ce(27) of the primitive narrow-sense BCH-code C(I) with length 19682 = 39−1, defining interval I = [1,27], and designed minimum distance d ≥ |I|+1 = 28 [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(311, 47, F3, 5) (dual of [47, 36, 6]-code), using
- discarding factors / shortening the dual code based on linear OA(311, 85, F3, 5) (dual of [85, 74, 6]-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(3176, 19732, F3, 28) (dual of [19732, 19556, 29]-code) | [i] | Code Embedding in Larger Space | |
| 2 | Linear OA(3177, 19733, F3, 28) (dual of [19733, 19556, 29]-code) | [i] | ||
| 3 | Linear OA(3178, 19734, F3, 28) (dual of [19734, 19556, 29]-code) | [i] | ||
| 4 | Linear OA(3173, 19729, F3, 27) (dual of [19729, 19556, 28]-code) | [i] | Truncation | |
| 5 | Linear OOA(3174, 9865, F3, 2, 28) (dual of [(9865, 2), 19556, 29]-NRT-code) | [i] | OOA Folding | |
| 6 | Linear OOA(3174, 6576, F3, 3, 28) (dual of [(6576, 3), 19554, 29]-NRT-code) | [i] | ||
| 7 | Linear OOA(3174, 4932, F3, 4, 28) (dual of [(4932, 4), 19554, 29]-NRT-code) | [i] | ||
| 8 | Linear OOA(3174, 3946, F3, 5, 28) (dual of [(3946, 5), 19556, 29]-NRT-code) | [i] | ||
| 9 | Linear OOA(3174, 1409, F3, 28, 28) (dual of [(1409, 28), 39278, 29]-NRT-code) | [i] | OA Folding and Stacking | |