Information on Result #675186
Linear OA(3151, 19716, F3, 24) (dual of [19716, 19565, 25]-code), using construction X applied to Ce(24) ⊂ Ce(19) based on
- linear OA(3145, 19683, F3, 25) (dual of [19683, 19538, 26]-code), using an extension Ce(24) of the primitive narrow-sense BCH-code C(I) with length 19682 = 39−1, defining interval I = [1,24], and designed minimum distance d ≥ |I|+1 = 25 [i]
- linear OA(3118, 19683, F3, 20) (dual of [19683, 19565, 21]-code), using an extension Ce(19) of the primitive narrow-sense BCH-code C(I) with length 19682 = 39−1, defining interval I = [1,19], and designed minimum distance d ≥ |I|+1 = 20 [i]
- linear OA(36, 33, F3, 3) (dual of [33, 27, 4]-code or 33-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 OOA(3151, 9858, F3, 2, 24) (dual of [(9858, 2), 19565, 25]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(3151, 6572, F3, 3, 24) (dual of [(6572, 3), 19565, 25]-NRT-code) | [i] | ||
| 3 | Linear OOA(3151, 4929, F3, 4, 24) (dual of [(4929, 4), 19565, 25]-NRT-code) | [i] | ||
| 4 | Linear OOA(3151, 3943, F3, 5, 24) (dual of [(3943, 5), 19564, 25]-NRT-code) | [i] | ||
| 5 | Linear OOA(3151, 1643, F3, 24, 24) (dual of [(1643, 24), 39281, 25]-NRT-code) | [i] | OA Folding and Stacking | |