Information on Result #1103239
Linear OOA(3246, 3946, F3, 5, 40) (dual of [(3946, 5), 19484, 41]-NRT-code), using OOA 5-folding based on linear OA(3246, 19730, F3, 40) (dual of [19730, 19484, 41]-code), using
- construction X applied to Ce(39) ⊂ Ce(33) [i] based on
- linear OA(3235, 19683, F3, 40) (dual of [19683, 19448, 41]-code), using an extension Ce(39) of the primitive narrow-sense BCH-code C(I) with length 19682 = 39−1, defining interval I = [1,39], and designed minimum distance d ≥ |I|+1 = 40 [i]
- linear OA(3199, 19683, F3, 34) (dual of [19683, 19484, 35]-code), using an extension Ce(33) of the primitive narrow-sense BCH-code C(I) with length 19682 = 39−1, defining interval I = [1,33], and designed minimum distance d ≥ |I|+1 = 34 [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(3247, 3946, F3, 5, 40) (dual of [(3946, 5), 19483, 41]-NRT-code) | [i] | OOA Duplication | |
| 2 | Linear OOA(3248, 3946, F3, 5, 40) (dual of [(3946, 5), 19482, 41]-NRT-code) | [i] | ||
| 3 | Linear OOA(3249, 3946, F3, 5, 40) (dual of [(3946, 5), 19481, 41]-NRT-code) | [i] | ||
| 4 | Linear OOA(3250, 3946, F3, 5, 40) (dual of [(3946, 5), 19480, 41]-NRT-code) | [i] | ||
| 5 | Linear OOA(3245, 3945, F3, 5, 39) (dual of [(3945, 5), 19480, 40]-NRT-code) | [i] | Truncation for OOAs | |