Information on Result #2266930
Linear OA(3243, 6627, F3, 42) (dual of [6627, 6384, 43]-code), using 2 times code embedding in larger space based on linear OA(3241, 6625, F3, 42) (dual of [6625, 6384, 43]-code), using
- construction X applied to Ce(42) ⊂ Ce(33) [i] based on
- linear OA(3225, 6561, F3, 43) (dual of [6561, 6336, 44]-code), using an extension Ce(42) of the primitive narrow-sense BCH-code C(I) with length 6560 = 38−1, defining interval I = [1,42], and designed minimum distance d ≥ |I|+1 = 43 [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(316, 64, F3, 7) (dual of [64, 48, 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(3243, 6034, F3, 2, 42) (dual of [(6034, 2), 11825, 43]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(3243, 6034, F3, 3, 42) (dual of [(6034, 3), 17859, 43]-NRT-code) | [i] | ||
| 3 | Linear OOA(3243, 6034, F3, 4, 42) (dual of [(6034, 4), 23893, 43]-NRT-code) | [i] | ||
| 4 | Linear OOA(3243, 6034, F3, 5, 42) (dual of [(6034, 5), 29927, 43]-NRT-code) | [i] | ||
| 5 | Digital (201, 243, 6034)-net over F3 | [i] | ||
| 6 | Linear OOA(3243, 2209, F3, 3, 42) (dual of [(2209, 3), 6384, 43]-NRT-code) | [i] | OOA Folding | |