Information on Result #2235141
Linear OA(3214, 19743, F3, 33) (dual of [19743, 19529, 34]-code), using 1 times truncation based on linear OA(3215, 19744, F3, 34) (dual of [19744, 19529, 35]-code), using
- construction X applied to Ce(33) ⊂ Ce(25) [i] based on
- linear OA(3199, 19683, F3, 34) (dual of [19683, 19484, 35]-code), using an extension Ce(33) of the primitive narrow-sense BCH-code C(I) with length 19682 = 39−1, defining interval I = [1,33], and designed minimum distance d ≥ |I|+1 = 34 [i]
- 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(316, 61, F3, 7) (dual of [61, 45, 8]-code), using
- discarding factors / shortening the dual code based on linear OA(316, 82, F3, 7) (dual of [82, 66, 8]-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 OOA(3214, 11754, F3, 2, 33) (dual of [(11754, 2), 23294, 34]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(3214, 11754, F3, 3, 33) (dual of [(11754, 3), 35048, 34]-NRT-code) | [i] | ||
| 3 | Linear OOA(3214, 11754, F3, 4, 33) (dual of [(11754, 4), 46802, 34]-NRT-code) | [i] | ||
| 4 | Linear OOA(3214, 11754, F3, 5, 33) (dual of [(11754, 5), 58556, 34]-NRT-code) | [i] | ||
| 5 | Digital (181, 214, 11754)-net over F3 | [i] | ||
| 6 | Linear OOA(3214, 9871, F3, 2, 33) (dual of [(9871, 2), 19528, 34]-NRT-code) | [i] | OOA Folding | |
| 7 | Linear OOA(3214, 6581, F3, 3, 33) (dual of [(6581, 3), 19529, 34]-NRT-code) | [i] | ||
| 8 | Linear OOA(3214, 4935, F3, 4, 33) (dual of [(4935, 4), 19526, 34]-NRT-code) | [i] | ||
| 9 | Linear OOA(3214, 3948, F3, 5, 33) (dual of [(3948, 5), 19526, 34]-NRT-code) | [i] | ||