Information on Result #703863
Linear OA(3174, 381, F3, 50) (dual of [381, 207, 51]-code), using construction X applied to C([137,186]) ⊂ C([137,182]) based on
- linear OA(3169, 364, F3, 50) (dual of [364, 195, 51]-code), using the BCH-code C(I) with length 364 | 36−1, defining interval I = {137,138,…,186}, and designed minimum distance d ≥ |I|+1 = 51 [i]
- linear OA(3157, 364, F3, 46) (dual of [364, 207, 47]-code), using the BCH-code C(I) with length 364 | 36−1, defining interval I = {137,138,…,182}, and designed minimum distance d ≥ |I|+1 = 47 [i]
- linear OA(35, 17, F3, 3) (dual of [17, 12, 4]-code or 17-cap in PG(4,3)), 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(3175, 382, F3, 50) (dual of [382, 207, 51]-code) | [i] | Code Embedding in Larger Space | |
| 2 | Linear OOA(3174, 190, F3, 2, 50) (dual of [(190, 2), 206, 51]-NRT-code) | [i] | OOA Folding | |
| 3 | Linear OOA(3174, 127, F3, 3, 50) (dual of [(127, 3), 207, 51]-NRT-code) | [i] | ||