Information on Result #1771724
Digital (211, 243, 59067)-net over F3, using embedding of OOA with Gilbert–Varšamov bound based on linear OOA(3243, 59067, F3, 3, 32) (dual of [(59067, 3), 176958, 33]-NRT-code), using
- OOA 3-folding [i] based on linear OA(3243, 177201, F3, 32) (dual of [177201, 176958, 33]-code), using
- discarding factors / shortening the dual code based on linear OA(3243, 177202, F3, 32) (dual of [177202, 176959, 33]-code), using
- construction X applied to Ce(31) ⊂ Ce(25) [i] based on
- linear OA(3232, 177147, F3, 32) (dual of [177147, 176915, 33]-code), using an extension Ce(31) of the primitive narrow-sense BCH-code C(I) with length 177146 = 311−1, defining interval I = [1,31], and designed minimum distance d ≥ |I|+1 = 32 [i]
- linear OA(3188, 177147, F3, 26) (dual of [177147, 176959, 27]-code), using an extension Ce(25) of the primitive narrow-sense BCH-code C(I) with length 177146 = 311−1, defining interval I = [1,25], and designed minimum distance d ≥ |I|+1 = 26 [i]
- linear OA(311, 55, F3, 5) (dual of [55, 44, 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(31) ⊂ Ce(25) [i] based on
- discarding factors / shortening the dual code based on linear OA(3243, 177202, F3, 32) (dual of [177202, 176959, 33]-code), using
Mode: Linear.
Optimality
Show details for fixed k and m, k and s, k and t, m and s, m and t, t and s.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Digital (212, 244, 59067)-net over F3 | [i] | Net Duplication | |