Information on Result #1194392
Digital (100, 122, 48316)-net over F9, using net defined by OOA based on linear OOA(9122, 48316, F9, 22, 22) (dual of [(48316, 22), 1062830, 23]-NRT-code), using
- OA 11-folding and stacking [i] based on linear OA(9122, 531476, F9, 22) (dual of [531476, 531354, 23]-code), using
- discarding factors / shortening the dual code based on linear OA(9122, 531478, F9, 22) (dual of [531478, 531356, 23]-code), using
- construction X applied to Ce(21) ⊂ Ce(15) [i] based on
- linear OA(9115, 531441, F9, 22) (dual of [531441, 531326, 23]-code), using an extension Ce(21) of the primitive narrow-sense BCH-code C(I) with length 531440 = 96−1, defining interval I = [1,21], and designed minimum distance d ≥ |I|+1 = 22 [i]
- linear OA(985, 531441, F9, 16) (dual of [531441, 531356, 17]-code), using an extension Ce(15) of the primitive narrow-sense BCH-code C(I) with length 531440 = 96−1, defining interval I = [1,15], and designed minimum distance d ≥ |I|+1 = 16 [i]
- linear OA(97, 37, F9, 5) (dual of [37, 30, 6]-code), using
- discarding factors / shortening the dual code based on linear OA(97, 73, F9, 5) (dual of [73, 66, 6]-code), using
- construction X applied to Ce(21) ⊂ Ce(15) [i] based on
- discarding factors / shortening the dual code based on linear OA(9122, 531478, F9, 22) (dual of [531478, 531356, 23]-code), using
Mode: Constructive and 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 (101, 123, 48316)-net over F9 | [i] | Net Duplication | |
| 2 | Digital (102, 124, 48316)-net over F9 | [i] | ||
| 3 | Digital (103, 125, 48316)-net over F9 | [i] | ||