Information on Result #674582
Linear OA(3199, 531483, F3, 24) (dual of [531483, 531284, 25]-code), using construction X applied to Ce(24) ⊂ Ce(19) based on
- linear OA(3193, 531441, F3, 25) (dual of [531441, 531248, 26]-code), using an extension Ce(24) of the primitive narrow-sense BCH-code C(I) with length 531440 = 312−1, defining interval I = [1,24], and designed minimum distance d ≥ |I|+1 = 25 [i]
- linear OA(3157, 531441, F3, 20) (dual of [531441, 531284, 21]-code), using an extension Ce(19) of the primitive narrow-sense BCH-code C(I) with length 531440 = 312−1, defining interval I = [1,19], and designed minimum distance d ≥ |I|+1 = 20 [i]
- linear OA(36, 42, F3, 3) (dual of [42, 36, 4]-code or 42-cap in PG(5,3)), using
- discarding factors / shortening the dual code based on linear OA(36, 48, F3, 3) (dual of [48, 42, 4]-code or 48-cap in PG(5,3)), 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(3200, 531484, F3, 24) (dual of [531484, 531284, 25]-code) | [i] | Code Embedding in Larger Space | |
| 2 | Linear OOA(3199, 265741, F3, 2, 24) (dual of [(265741, 2), 531283, 25]-NRT-code) | [i] | OOA Folding | |
| 3 | Linear OOA(3199, 177161, F3, 3, 24) (dual of [(177161, 3), 531284, 25]-NRT-code) | [i] | ||
| 4 | Linear OOA(3199, 132870, F3, 4, 24) (dual of [(132870, 4), 531281, 25]-NRT-code) | [i] | ||
| 5 | Linear OOA(3199, 106296, F3, 5, 24) (dual of [(106296, 5), 531281, 25]-NRT-code) | [i] | ||
| 6 | Linear OOA(3199, 44290, F3, 24, 24) (dual of [(44290, 24), 1062761, 25]-NRT-code) | [i] | OA Folding and Stacking | |