Information on Result #736843
Linear OA(3228, 531501, F3, 27) (dual of [531501, 531273, 28]-code), using construction X applied to C([0,13]) ⊂ C([0,10]) based on
- linear OA(3217, 531442, F3, 27) (dual of [531442, 531225, 28]-code), using the expurgated narrow-sense BCH-code C(I) with length 531442 | 324−1, defining interval I = [0,13], and minimum distance d ≥ |{−13,−12,…,13}|+1 = 28 (BCH-bound) [i]
- linear OA(3169, 531442, F3, 21) (dual of [531442, 531273, 22]-code), using the expurgated narrow-sense BCH-code C(I) with length 531442 | 324−1, defining interval I = [0,10], and minimum distance d ≥ |{−10,−9,…,10}|+1 = 22 (BCH-bound) [i]
- linear OA(311, 59, F3, 5) (dual of [59, 48, 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(3229, 531502, F3, 27) (dual of [531502, 531273, 28]-code) | [i] | Code Embedding in Larger Space | |
| 2 | Linear OA(3231, 531504, F3, 27) (dual of [531504, 531273, 28]-code) | [i] | ||
| 3 | Linear OOA(3228, 177167, F3, 3, 27) (dual of [(177167, 3), 531273, 28]-NRT-code) | [i] | OOA Folding | |
| 4 | Linear OOA(3228, 132875, F3, 4, 27) (dual of [(132875, 4), 531272, 28]-NRT-code) | [i] | ||
| 5 | Linear OOA(3228, 106300, F3, 5, 27) (dual of [(106300, 5), 531272, 28]-NRT-code) | [i] | ||