Information on Result #736976
Linear OA(3193, 6626, F3, 33) (dual of [6626, 6433, 34]-code), using construction X applied to C([0,16]) ⊂ C([0,12]) 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(3129, 6562, F3, 25) (dual of [6562, 6433, 26]-code), using the expurgated narrow-sense BCH-code C(I) with length 6562 | 316−1, defining interval I = [0,12], and minimum distance d ≥ |{−12,−11,…,12}|+1 = 26 (BCH-bound) [i]
- linear OA(316, 64, F3, 7) (dual of [64, 48, 8]-code), using
- discarding factors / shortening the dual code based on linear OA(316, 82, F3, 7) (dual of [82, 66, 8]-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(3195, 6628, F3, 33) (dual of [6628, 6433, 34]-code) | [i] | Code Embedding in Larger Space | |
| 2 | Linear OA(3196, 6629, F3, 33) (dual of [6629, 6433, 34]-code) | [i] | ||
| 3 | Linear OA(3195, 6629, F3, 33) (dual of [6629, 6434, 34]-code) | [i] | Construction X with Varšamov Bound | |
| 4 | Linear OA(3196, 6631, F3, 33) (dual of [6631, 6435, 34]-code) | [i] | ||
| 5 | Linear OOA(3193, 3313, F3, 2, 33) (dual of [(3313, 2), 6433, 34]-NRT-code) | [i] | OOA Folding | |
| 6 | Linear OOA(3193, 2208, F3, 3, 33) (dual of [(2208, 3), 6431, 34]-NRT-code) | [i] | ||
| 7 | Linear OOA(3193, 1656, F3, 4, 33) (dual of [(1656, 4), 6431, 34]-NRT-code) | [i] | ||
| 8 | Linear OOA(3193, 1325, F3, 5, 33) (dual of [(1325, 5), 6432, 34]-NRT-code) | [i] | ||