Information on Result #675183
Linear OA(3160, 19716, F3, 26) (dual of [19716, 19556, 27]-code), using construction X applied to Ce(25) ⊂ Ce(21) based on
- linear OA(3154, 19683, F3, 26) (dual of [19683, 19529, 27]-code), using an extension Ce(25) of the primitive narrow-sense BCH-code C(I) with length 19682 = 39−1, defining interval I = [1,25], and designed minimum distance d ≥ |I|+1 = 26 [i]
- linear OA(3127, 19683, F3, 22) (dual of [19683, 19556, 23]-code), using an extension Ce(21) of the primitive narrow-sense BCH-code C(I) with length 19682 = 39−1, defining interval I = [1,21], and designed minimum distance d ≥ |I|+1 = 22 [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 OA(3161, 19717, F3, 26) (dual of [19717, 19556, 27]-code) | [i] | Code Embedding in Larger Space | |
| 2 | Linear OA(3162, 19718, F3, 26) (dual of [19718, 19556, 27]-code) | [i] | ||
| 3 | Linear OA(3163, 19719, F3, 26) (dual of [19719, 19556, 27]-code) | [i] | ||
| 4 | Linear OOA(3160, 9858, F3, 2, 26) (dual of [(9858, 2), 19556, 27]-NRT-code) | [i] | OOA Folding | |
| 5 | Linear OOA(3160, 6572, F3, 3, 26) (dual of [(6572, 3), 19556, 27]-NRT-code) | [i] | ||
| 6 | Linear OOA(3160, 4929, F3, 4, 26) (dual of [(4929, 4), 19556, 27]-NRT-code) | [i] | ||
| 7 | Linear OOA(3160, 3943, F3, 5, 26) (dual of [(3943, 5), 19555, 27]-NRT-code) | [i] | ||
| 8 | Linear OOA(3160, 1516, F3, 26, 26) (dual of [(1516, 26), 39256, 27]-NRT-code) | [i] | OA Folding and Stacking | |