Information on Result #2266824
Linear OA(3196, 2228, F3, 40) (dual of [2228, 2032, 41]-code), using 3 times code embedding in larger space based on linear OA(3193, 2225, F3, 40) (dual of [2225, 2032, 41]-code), using
- construction X applied to Ce(39) ⊂ Ce(33) [i] based on
- linear OA(3183, 2187, F3, 40) (dual of [2187, 2004, 41]-code), using an extension Ce(39) of the primitive narrow-sense BCH-code C(I) with length 2186 = 37−1, defining interval I = [1,39], and designed minimum distance d ≥ |I|+1 = 40 [i]
- linear OA(3155, 2187, F3, 34) (dual of [2187, 2032, 35]-code), using an extension Ce(33) of the primitive narrow-sense BCH-code C(I) with length 2186 = 37−1, defining interval I = [1,33], and designed minimum distance d ≥ |I|+1 = 34 [i]
- linear OA(310, 38, F3, 5) (dual of [38, 28, 6]-code), using
- discarding factors / shortening the dual code based on linear OA(310, 39, F3, 5) (dual of [39, 29, 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(3196, 2074, F3, 2, 40) (dual of [(2074, 2), 3952, 41]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(3196, 2074, F3, 3, 40) (dual of [(2074, 3), 6026, 41]-NRT-code) | [i] | ||
| 3 | Linear OOA(3196, 2074, F3, 4, 40) (dual of [(2074, 4), 8100, 41]-NRT-code) | [i] | ||
| 4 | Linear OOA(3196, 2074, F3, 5, 40) (dual of [(2074, 5), 10174, 41]-NRT-code) | [i] | ||
| 5 | Digital (156, 196, 2074)-net over F3 | [i] | ||
| 6 | Linear OOA(3196, 557, F3, 4, 40) (dual of [(557, 4), 2032, 41]-NRT-code) | [i] | OOA Folding | |