Information on Result #1205229
Digital (145, 159, 3595113)-net over F4, using trace code for nets based on digital (39, 53, 1198371)-net over F64, using
- net defined by OOA [i] based on linear OOA(6453, 1198371, F64, 14, 14) (dual of [(1198371, 14), 16777141, 15]-NRT-code), using
- OA 7-folding and stacking [i] based on linear OA(6453, 8388597, F64, 14) (dual of [8388597, 8388544, 15]-code), using
- discarding factors / shortening the dual code based on linear OA(6453, large, F64, 14) (dual of [large, large−53, 15]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 16777215 = 644−1, defining interval I = [0,13], and designed minimum distance d ≥ |I|+1 = 15 [i]
- discarding factors / shortening the dual code based on linear OA(6453, large, F64, 14) (dual of [large, large−53, 15]-code), using
- OA 7-folding and stacking [i] based on linear OA(6453, 8388597, F64, 14) (dual of [8388597, 8388544, 15]-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 (201, 215, 4993217)-net over F4 | [i] | (u, u+v)-Construction for Nets | |
| 2 | Digital (202, 216, 4993222)-net over F4 | [i] | ||
| 3 | Digital (205, 219, 4993234)-net over F4 | [i] | ||
| 4 | Digital (206, 220, 6391313)-net over F4 | [i] | ||
| 5 | Digital (209, 223, 6391318)-net over F4 | [i] | ||
| 6 | Digital (210, 224, 6391330)-net over F4 | [i] | ||
| 7 | Digital (211, 225, 6391354)-net over F4 | [i] | ||
| 8 | Digital (212, 226, 6391439)-net over F4 | [i] | ||
| 9 | Digital (213, 227, 6391601)-net over F4 | [i] | ||
| 10 | Digital (214, 228, 6392069)-net over F4 | [i] | ||
| 11 | Digital (215, 229, 6393423)-net over F4 | [i] | ||
| 12 | Digital (216, 230, 6396353)-net over F4 | [i] | ||
| 13 | Digital (217, 231, 6406736)-net over F4 | [i] | ||
| 14 | Digital (218, 232, 6425879)-net over F4 | [i] | ||
| 15 | Digital (219, 233, 7190226)-net over F4 | [i] | ||