Information on Result #736845
Linear OA(3180, 531501, F3, 21) (dual of [531501, 531321, 22]-code), using construction X applied to C([0,10]) ⊂ C([0,7]) based on
- 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(3121, 531442, F3, 15) (dual of [531442, 531321, 16]-code), using the expurgated narrow-sense BCH-code C(I) with length 531442 | 324−1, defining interval I = [0,7], and minimum distance d ≥ |{−7,−6,…,7}|+1 = 16 (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(3181, 531502, F3, 21) (dual of [531502, 531321, 22]-code) | [i] | Code Embedding in Larger Space | |
| 2 | Linear OOA(3180, 177167, F3, 3, 21) (dual of [(177167, 3), 531321, 22]-NRT-code) | [i] | OOA Folding | |
| 3 | Linear OOA(3180, 132875, F3, 4, 21) (dual of [(132875, 4), 531320, 22]-NRT-code) | [i] | ||
| 4 | Linear OOA(3180, 106300, F3, 5, 21) (dual of [(106300, 5), 531320, 22]-NRT-code) | [i] | ||
| 5 | Linear OOA(3180, 53150, F3, 21, 21) (dual of [(53150, 21), 1115970, 22]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |