Information on Result #675606
Linear OA(3242, 6626, F3, 42) (dual of [6626, 6384, 43]-code), using construction X applied to Ce(42) ⊂ Ce(33) 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(317, 65, F3, 7) (dual of [65, 48, 8]-code), using
- discarding factors / shortening the dual code based on linear OA(317, 80, F3, 7) (dual of [80, 63, 8]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 80 = 34−1, defining interval I = [0,5], and designed minimum distance d ≥ |I|+1 = 8 [i]
- discarding factors / shortening the dual code based on linear OA(317, 80, F3, 7) (dual of [80, 63, 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(3242, 5869, F3, 2, 42) (dual of [(5869, 2), 11496, 43]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(3242, 5869, F3, 3, 42) (dual of [(5869, 3), 17365, 43]-NRT-code) | [i] | ||
| 3 | Linear OOA(3242, 5869, F3, 4, 42) (dual of [(5869, 4), 23234, 43]-NRT-code) | [i] | ||
| 4 | Linear OOA(3242, 5869, F3, 5, 42) (dual of [(5869, 5), 29103, 43]-NRT-code) | [i] | ||
| 5 | Digital (200, 242, 5869)-net over F3 | [i] | ||
| 6 | Linear OOA(3242, 3313, F3, 2, 42) (dual of [(3313, 2), 6384, 43]-NRT-code) | [i] | OOA Folding | |