Information on Result #2266592
Linear OA(3221, 19732, F3, 35) (dual of [19732, 19511, 36]-code), using 2 times code embedding in larger space based on linear OA(3219, 19730, F3, 35) (dual of [19730, 19511, 36]-code), using
- construction X applied to Ce(34) ⊂ Ce(28) [i] based on
- linear OA(3208, 19683, F3, 35) (dual of [19683, 19475, 36]-code), using an extension Ce(34) of the primitive narrow-sense BCH-code C(I) with length 19682 = 39−1, defining interval I = [1,34], and designed minimum distance d ≥ |I|+1 = 35 [i]
- linear OA(3172, 19683, F3, 29) (dual of [19683, 19511, 30]-code), using an extension Ce(28) of the primitive narrow-sense BCH-code C(I) with length 19682 = 39−1, defining interval I = [1,28], and designed minimum distance d ≥ |I|+1 = 29 [i]
- linear OA(311, 47, F3, 5) (dual of [47, 36, 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 OOA(3221, 9948, F3, 2, 35) (dual of [(9948, 2), 19675, 36]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(3221, 9948, F3, 3, 35) (dual of [(9948, 3), 29623, 36]-NRT-code) | [i] | ||
| 3 | Linear OOA(3221, 9948, F3, 4, 35) (dual of [(9948, 4), 39571, 36]-NRT-code) | [i] | ||
| 4 | Linear OOA(3221, 9948, F3, 5, 35) (dual of [(9948, 5), 49519, 36]-NRT-code) | [i] | ||
| 5 | Digital (186, 221, 9948)-net over F3 | [i] | ||
| 6 | Linear OOA(3221, 4933, F3, 4, 35) (dual of [(4933, 4), 19511, 36]-NRT-code) | [i] | OOA Folding | |