Information on Result #676576
Linear OA(3194, 745, F3, 49) (dual of [745, 551, 50]-code), using construction X applied to Ce(48) ⊂ Ce(45) based on
- linear OA(3190, 729, F3, 49) (dual of [729, 539, 50]-code), using an extension Ce(48) of the primitive narrow-sense BCH-code C(I) with length 728 = 36−1, defining interval I = [1,48], and designed minimum distance d ≥ |I|+1 = 49 [i]
- linear OA(3178, 729, F3, 46) (dual of [729, 551, 47]-code), using an extension Ce(45) of the primitive narrow-sense BCH-code C(I) with length 728 = 36−1, defining interval I = [1,45], and designed minimum distance d ≥ |I|+1 = 46 [i]
- linear OA(34, 16, F3, 2) (dual of [16, 12, 3]-code), using
- discarding factors / shortening the dual code based on linear OA(34, 40, F3, 2) (dual of [40, 36, 3]-code), using
- Hamming code H(4,3) [i]
- discarding factors / shortening the dual code based on linear OA(34, 40, F3, 2) (dual of [40, 36, 3]-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(3194, 149, F3, 5, 49) (dual of [(149, 5), 551, 50]-NRT-code) | [i] | OOA Folding | |