Information on Result #703765
Linear OA(3107, 368, F3, 29) (dual of [368, 261, 30]-code), using construction X applied to C([167,195]) ⊂ C([169,195]) based on
- linear OA(3106, 364, F3, 29) (dual of [364, 258, 30]-code), using the BCH-code C(I) with length 364 | 36−1, defining interval I = {167,168,…,195}, and designed minimum distance d ≥ |I|+1 = 30 [i]
- linear OA(3103, 364, F3, 27) (dual of [364, 261, 28]-code), using the BCH-code C(I) with length 364 | 36−1, defining interval I = {169,170,…,195}, and designed minimum distance d ≥ |I|+1 = 28 [i]
- linear OA(31, 4, F3, 1) (dual of [4, 3, 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(3108, 369, F3, 29) (dual of [369, 261, 30]-code) | [i] | Code Embedding in Larger Space | |
| 2 | Linear OA(3106, 367, F3, 28) (dual of [367, 261, 29]-code) | [i] | Truncation | |
| 3 | Linear OOA(3107, 184, F3, 2, 29) (dual of [(184, 2), 261, 30]-NRT-code) | [i] | OOA Folding | |
| 4 | Linear OOA(3107, 122, F3, 3, 29) (dual of [(122, 3), 259, 30]-NRT-code) | [i] | ||