Information on Result #736967
Linear OA(3188, 6605, F3, 33) (dual of [6605, 6417, 34]-code), using construction X applied to C([0,16]) ⊂ C([0,13]) based on
- linear OA(3177, 6562, F3, 33) (dual of [6562, 6385, 34]-code), using the expurgated narrow-sense BCH-code C(I) with length 6562 | 316−1, defining interval I = [0,16], and minimum distance d ≥ |{−16,−15,…,16}|+1 = 34 (BCH-bound) [i]
- linear OA(3145, 6562, F3, 27) (dual of [6562, 6417, 28]-code), using the expurgated narrow-sense BCH-code C(I) with length 6562 | 316−1, defining interval I = [0,13], and minimum distance d ≥ |{−13,−12,…,13}|+1 = 28 (BCH-bound) [i]
- linear OA(311, 43, F3, 5) (dual of [43, 32, 6]-code), using
- discarding factors / shortening the dual code based on linear OA(311, 85, F3, 5) (dual of [85, 74, 6]-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(3190, 6607, F3, 33) (dual of [6607, 6417, 34]-code) | [i] | Code Embedding in Larger Space | |
| 2 | Linear OOA(3188, 1651, F3, 4, 33) (dual of [(1651, 4), 6416, 34]-NRT-code) | [i] | OOA Folding | |
| 3 | Linear OOA(3188, 1321, F3, 5, 33) (dual of [(1321, 5), 6417, 34]-NRT-code) | [i] | ||