Information on Result #1061571
Linear OOA(3176, 4933, F3, 4, 28) (dual of [(4933, 4), 19556, 29]-NRT-code), using OOA 4-folding based on linear OA(3176, 19732, F3, 28) (dual of [19732, 19556, 29]-code), using
- 2 times code embedding in larger space [i] 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
- construction X applied to Ce(27) ⊂ Ce(21) [i] based on
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(3176, 4933, F3, 4, 27) (dual of [(4933, 4), 19556, 28]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(3177, 4933, F3, 4, 28) (dual of [(4933, 4), 19555, 29]-NRT-code) | [i] | OOA Duplication | |
| 3 | Linear OOA(3178, 4933, F3, 4, 28) (dual of [(4933, 4), 19554, 29]-NRT-code) | [i] | ||