Information on Result #704038
Linear OA(3155, 386, F3, 41) (dual of [386, 231, 42]-code), using construction XX applied to C1 = C([161,200]), C2 = C([160,197]), C3 = C1 + C2 = C([161,197]), and C∩ = C1 ∩ C2 = C([160,200]) based on
- linear OA(3145, 364, F3, 40) (dual of [364, 219, 41]-code), using the BCH-code C(I) with length 364 | 36−1, defining interval I = {161,162,…,200}, and designed minimum distance d ≥ |I|+1 = 41 [i]
- linear OA(3139, 364, F3, 38) (dual of [364, 225, 39]-code), using the BCH-code C(I) with length 364 | 36−1, defining interval I = {160,161,…,197}, and designed minimum distance d ≥ |I|+1 = 39 [i]
- linear OA(3151, 364, F3, 41) (dual of [364, 213, 42]-code), using the BCH-code C(I) with length 364 | 36−1, defining interval I = {160,161,…,200}, and designed minimum distance d ≥ |I|+1 = 42 [i]
- linear OA(3133, 364, F3, 37) (dual of [364, 231, 38]-code), using the BCH-code C(I) with length 364 | 36−1, defining interval I = {161,162,…,197}, and designed minimum distance d ≥ |I|+1 = 38 [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
- linear OA(30, 6, F3, 0) (dual of [6, 6, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(30, s, F3, 0) (dual of [s, s, 1]-code) for arbitrarily large s, 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(3156, 387, F3, 41) (dual of [387, 231, 42]-code) | [i] | Code Embedding in Larger Space | |
| 2 | Linear OOA(3155, 193, F3, 2, 41) (dual of [(193, 2), 231, 42]-NRT-code) | [i] | OOA Folding | |