Information on Result #736848
Linear OA(3240, 531500, F3, 29) (dual of [531500, 531260, 30]-code), using construction X applied to Ce(28) ⊂ Ce(22) based on
- linear OA(3229, 531441, F3, 29) (dual of [531441, 531212, 30]-code), using an extension Ce(28) of the primitive narrow-sense BCH-code C(I) with length 531440 = 312−1, defining interval I = [1,28], and designed minimum distance d ≥ |I|+1 = 29 [i]
- linear OA(3181, 531441, F3, 23) (dual of [531441, 531260, 24]-code), using an extension Ce(22) of the primitive narrow-sense BCH-code C(I) with length 531440 = 312−1, defining interval I = [1,22], and designed minimum distance d ≥ |I|+1 = 23 [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(3241, 531501, F3, 29) (dual of [531501, 531260, 30]-code) | [i] | Code Embedding in Larger Space | |
| 2 | Linear OA(3243, 531503, F3, 29) (dual of [531503, 531260, 30]-code) | [i] | ||
| 3 | Linear OOA(3240, 265750, F3, 2, 29) (dual of [(265750, 2), 531260, 30]-NRT-code) | [i] | OOA Folding | |
| 4 | Linear OOA(3240, 177166, F3, 3, 29) (dual of [(177166, 3), 531258, 30]-NRT-code) | [i] | ||
| 5 | Linear OOA(3240, 132875, F3, 4, 29) (dual of [(132875, 4), 531260, 30]-NRT-code) | [i] | ||
| 6 | Linear OOA(3240, 106300, F3, 5, 29) (dual of [(106300, 5), 531260, 30]-NRT-code) | [i] | ||
| 7 | Linear OOA(3240, 37964, F3, 29, 29) (dual of [(37964, 29), 1100716, 30]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |