Information on Result #1102236
Linear OOA(3174, 3946, F3, 5, 28) (dual of [(3946, 5), 19556, 29]-NRT-code), using OOA 5-folding based on linear OA(3174, 19730, F3, 28) (dual of [19730, 19556, 29]-code), using
- construction X applied to Ce(27) ⊂ Ce(21) [i] 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 OOA(3175, 3946, F3, 5, 28) (dual of [(3946, 5), 19555, 29]-NRT-code) | [i] | OOA Duplication | |
| 2 | Linear OOA(3176, 3946, F3, 5, 28) (dual of [(3946, 5), 19554, 29]-NRT-code) | [i] | ||
| 3 | Linear OOA(3177, 3946, F3, 5, 28) (dual of [(3946, 5), 19553, 29]-NRT-code) | [i] | ||
| 4 | Linear OOA(3178, 3946, F3, 5, 28) (dual of [(3946, 5), 19552, 29]-NRT-code) | [i] | ||
| 5 | Linear OOA(3173, 3945, F3, 5, 27) (dual of [(3945, 5), 19552, 28]-NRT-code) | [i] | Truncation for OOAs | |