Information on Result #703865
Linear OA(3176, 371, F3, 52) (dual of [371, 195, 53]-code), using construction X applied to C([137,188]) ⊂ C([137,186]) based on
- linear OA(3175, 364, F3, 52) (dual of [364, 189, 53]-code), using the BCH-code C(I) with length 364 | 36−1, defining interval I = {137,138,…,188}, and designed minimum distance d ≥ |I|+1 = 53 [i]
- 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(31, 7, F3, 1) (dual of [7, 6, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(31, s, F3, 1) (dual of [s, s−1, 2]-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(3177, 372, F3, 52) (dual of [372, 195, 53]-code) | [i] | Code Embedding in Larger Space | |
| 2 | Linear OOA(3176, 185, F3, 2, 52) (dual of [(185, 2), 194, 53]-NRT-code) | [i] | OOA Folding | |
| 3 | Linear OOA(3176, 123, F3, 3, 52) (dual of [(123, 3), 193, 53]-NRT-code) | [i] | ||