Information on Result #675247
Linear OA(3220, 19758, F3, 34) (dual of [19758, 19538, 35]-code), using construction X applied to Ce(33) ⊂ Ce(24) 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(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(321, 75, F3, 8) (dual of [75, 54, 9]-code), using
- discarding factors / shortening the dual code based on linear OA(321, 80, F3, 8) (dual of [80, 59, 9]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 80 = 34−1, defining interval I = [0,7], and designed minimum distance d ≥ |I|+1 = 9 [i]
- discarding factors / shortening the dual code based on linear OA(321, 80, F3, 8) (dual of [80, 59, 9]-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(3220, 11749, F3, 2, 34) (dual of [(11749, 2), 23278, 35]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(3220, 11749, F3, 3, 34) (dual of [(11749, 3), 35027, 35]-NRT-code) | [i] | ||
| 3 | Linear OOA(3220, 11749, F3, 4, 34) (dual of [(11749, 4), 46776, 35]-NRT-code) | [i] | ||
| 4 | Linear OOA(3220, 11749, F3, 5, 34) (dual of [(11749, 5), 58525, 35]-NRT-code) | [i] | ||
| 5 | Digital (186, 220, 11749)-net over F3 | [i] | ||
| 6 | Linear OOA(3220, 9879, F3, 2, 34) (dual of [(9879, 2), 19538, 35]-NRT-code) | [i] | OOA Folding | |
| 7 | Linear OOA(3220, 6586, F3, 3, 34) (dual of [(6586, 3), 19538, 35]-NRT-code) | [i] | ||
| 8 | Linear OOA(3220, 4939, F3, 4, 34) (dual of [(4939, 4), 19536, 35]-NRT-code) | [i] | ||
| 9 | Linear OOA(3220, 3951, F3, 5, 34) (dual of [(3951, 5), 19535, 35]-NRT-code) | [i] | ||