Information on Result #676284
Linear OA(3222, 1112, F3, 49) (dual of [1112, 890, 50]-code), using construction X applied to Ce(48) ⊂ Ce(45) based on
- linear OA(3218, 1094, F3, 49) (dual of [1094, 876, 50]-code), using an extension Ce(48) of the narrow-sense BCH-code C(I) with length 1093 | 37−1, defining interval I = [1,48], and designed minimum distance d ≥ |I|+1 = 49 [i]
- linear OA(3204, 1094, F3, 46) (dual of [1094, 890, 47]-code), using an extension Ce(45) of the narrow-sense BCH-code C(I) with length 1093 | 37−1, defining interval I = [1,45], and designed minimum distance d ≥ |I|+1 = 46 [i]
- linear OA(34, 18, F3, 2) (dual of [18, 14, 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 OA(3223, 1113, F3, 49) (dual of [1113, 890, 50]-code) | [i] | Code Embedding in Larger Space | |
| 2 | Linear OOA(3222, 556, F3, 2, 49) (dual of [(556, 2), 890, 50]-NRT-code) | [i] | OOA Folding | |
| 3 | Linear OOA(3222, 370, F3, 3, 49) (dual of [(370, 3), 888, 50]-NRT-code) | [i] | ||