Information on Result #2266834
Linear OA(3223, 6607, F3, 40) (dual of [6607, 6384, 41]-code), using 3 times code embedding in larger space based on linear OA(3220, 6604, F3, 40) (dual of [6604, 6384, 41]-code), using
- construction X applied to Ce(39) ⊂ Ce(33) [i] based on
- linear OA(3209, 6561, F3, 40) (dual of [6561, 6352, 41]-code), using an extension Ce(39) of the primitive narrow-sense BCH-code C(I) with length 6560 = 38−1, defining interval I = [1,39], and designed minimum distance d ≥ |I|+1 = 40 [i]
- linear OA(3177, 6561, F3, 34) (dual of [6561, 6384, 35]-code), using an extension Ce(33) of the primitive narrow-sense BCH-code C(I) with length 6560 = 38−1, defining interval I = [1,33], and designed minimum distance d ≥ |I|+1 = 34 [i]
- linear OA(311, 43, F3, 5) (dual of [43, 32, 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(3223, 4568, F3, 2, 40) (dual of [(4568, 2), 8913, 41]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(3223, 4568, F3, 3, 40) (dual of [(4568, 3), 13481, 41]-NRT-code) | [i] | ||
| 3 | Linear OOA(3223, 4568, F3, 4, 40) (dual of [(4568, 4), 18049, 41]-NRT-code) | [i] | ||
| 4 | Linear OOA(3223, 4568, F3, 5, 40) (dual of [(4568, 5), 22617, 41]-NRT-code) | [i] | ||
| 5 | Digital (183, 223, 4568)-net over F3 | [i] | ||