Information on Result #1187926
Digital (205, 240, 15422)-net over F4, using net defined by OOA based on linear OOA(4240, 15422, F4, 35, 35) (dual of [(15422, 35), 539530, 36]-NRT-code), using
- OOA 17-folding and stacking with additional row [i] based on linear OA(4240, 262175, F4, 35) (dual of [262175, 261935, 36]-code), using
- discarding factors / shortening the dual code based on linear OA(4240, 262176, F4, 35) (dual of [262176, 261936, 36]-code), using
- construction X applied to Ce(34) ⊂ Ce(30) [i] based on
- linear OA(4235, 262144, F4, 35) (dual of [262144, 261909, 36]-code), using an extension Ce(34) of the primitive narrow-sense BCH-code C(I) with length 262143 = 49−1, defining interval I = [1,34], and designed minimum distance d ≥ |I|+1 = 35 [i]
- linear OA(4208, 262144, F4, 31) (dual of [262144, 261936, 32]-code), using an extension Ce(30) of the primitive narrow-sense BCH-code C(I) with length 262143 = 49−1, defining interval I = [1,30], and designed minimum distance d ≥ |I|+1 = 31 [i]
- linear OA(45, 32, F4, 3) (dual of [32, 27, 4]-code or 32-cap in PG(4,4)), using
- discarding factors / shortening the dual code based on linear OA(45, 41, F4, 3) (dual of [41, 36, 4]-code or 41-cap in PG(4,4)), using
- construction X applied to Ce(34) ⊂ Ce(30) [i] based on
- discarding factors / shortening the dual code based on linear OA(4240, 262176, F4, 35) (dual of [262176, 261936, 36]-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 (206, 241, 15422)-net over F4 | [i] | Net Duplication | |
| 2 | Digital (207, 242, 15422)-net over F4 | [i] | ||
| 3 | Digital (208, 243, 15422)-net over F4 | [i] | ||
| 4 | Digital (209, 244, 15422)-net over F4 | [i] | ||