Information on Result #1768550
Digital (179, 208, 29558)-net over F3, using embedding of OOA with Gilbert–Varšamov bound based on linear OOA(3208, 29558, F3, 2, 29) (dual of [(29558, 2), 58908, 30]-NRT-code), using
- 1 times NRT-code embedding in larger space [i] based on linear OOA(3206, 29557, F3, 2, 29) (dual of [(29557, 2), 58908, 30]-NRT-code), using
- OOA 2-folding [i] based on linear OA(3206, 59114, F3, 29) (dual of [59114, 58908, 30]-code), using
- construction X applied to Ce(28) ⊂ Ce(21) [i] based on
- linear OA(3191, 59049, F3, 29) (dual of [59049, 58858, 30]-code), using an extension Ce(28) of the primitive narrow-sense BCH-code C(I) with length 59048 = 310−1, defining interval I = [1,28], and designed minimum distance d ≥ |I|+1 = 29 [i]
- linear OA(3141, 59049, F3, 22) (dual of [59049, 58908, 23]-code), using an extension Ce(21) of the primitive narrow-sense BCH-code C(I) with length 59048 = 310−1, defining interval I = [1,21], and designed minimum distance d ≥ |I|+1 = 22 [i]
- linear OA(315, 65, F3, 6) (dual of [65, 50, 7]-code), using
- discarding factors / shortening the dual code based on linear OA(315, 85, F3, 6) (dual of [85, 70, 7]-code), using
- construction X applied to Ce(28) ⊂ Ce(21) [i] based on
- OOA 2-folding [i] based on linear OA(3206, 59114, F3, 29) (dual of [59114, 58908, 30]-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 (180, 209, 29558)-net over F3 | [i] | Net Duplication | |