Information on Result #954011
Linear OOA(3241, 177167, F3, 3, 29) (dual of [(177167, 3), 531260, 30]-NRT-code), using OOA 3-folding based on linear OA(3241, 531501, F3, 29) (dual of [531501, 531260, 30]-code), using
- 1 times code embedding in larger space [i] based on linear OA(3240, 531500, F3, 29) (dual of [531500, 531260, 30]-code), using
- construction X applied to Ce(28) ⊂ Ce(22) [i] based on
- linear OA(3229, 531441, F3, 29) (dual of [531441, 531212, 30]-code), using an extension Ce(28) of the primitive narrow-sense BCH-code C(I) with length 531440 = 312−1, defining interval I = [1,28], and designed minimum distance d ≥ |I|+1 = 29 [i]
- linear OA(3181, 531441, F3, 23) (dual of [531441, 531260, 24]-code), using an extension Ce(22) of the primitive narrow-sense BCH-code C(I) with length 531440 = 312−1, defining interval I = [1,22], and designed minimum distance d ≥ |I|+1 = 23 [i]
- linear OA(311, 59, F3, 5) (dual of [59, 48, 6]-code), using
- discarding factors / shortening the dual code based on linear OA(311, 85, F3, 5) (dual of [85, 74, 6]-code), using
- construction X applied to Ce(28) ⊂ Ce(22) [i] based on
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, 177167, F3, 3, 29) (dual of [(177167, 3), 531259, 30]-NRT-code) | [i] | OOA Duplication | |
| 2 | Linear OOA(3243, 177167, F3, 3, 29) (dual of [(177167, 3), 531258, 30]-NRT-code) | [i] | ||
| 3 | Linear OOA(3241, 177167, F3, 4, 29) (dual of [(177167, 4), 708427, 30]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 4 | Linear OOA(3241, 177167, F3, 5, 29) (dual of [(177167, 5), 885594, 30]-NRT-code) | [i] | ||
| 5 | Digital (212, 241, 177167)-net over F3 | [i] | ||