Information on Result #1205232
Digital (156, 171, 3595113)-net over F4, using trace code for nets based on digital (42, 57, 1198371)-net over F64, using
- net defined by OOA [i] based on linear OOA(6457, 1198371, F64, 15, 15) (dual of [(1198371, 15), 17975508, 16]-NRT-code), using
- OOA 7-folding and stacking with additional row [i] based on linear OA(6457, 8388598, F64, 15) (dual of [8388598, 8388541, 16]-code), using
- discarding factors / shortening the dual code based on linear OA(6457, large, F64, 15) (dual of [large, large−57, 16]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 16777217 | 648−1, defining interval I = [0,7], and minimum distance d ≥ |{−7,−6,…,7}|+1 = 16 (BCH-bound) [i]
- discarding factors / shortening the dual code based on linear OA(6457, large, F64, 15) (dual of [large, large−57, 16]-code), using
- OOA 7-folding and stacking with additional row [i] based on linear OA(6457, 8388598, F64, 15) (dual of [8388598, 8388541, 16]-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 (212, 227, 4993217)-net over F4 | [i] | (u, u+v)-Construction for Nets | |
| 2 | Digital (213, 228, 4993222)-net over F4 | [i] | ||
| 3 | Digital (216, 231, 4993234)-net over F4 | [i] | ||
| 4 | Digital (217, 232, 6391313)-net over F4 | [i] | ||
| 5 | Digital (220, 235, 6391318)-net over F4 | [i] | ||
| 6 | Digital (221, 236, 6391330)-net over F4 | [i] | ||
| 7 | Digital (222, 237, 6391354)-net over F4 | [i] | ||
| 8 | Digital (223, 238, 6391439)-net over F4 | [i] | ||
| 9 | Digital (224, 239, 6391601)-net over F4 | [i] | ||
| 10 | Digital (225, 240, 6392069)-net over F4 | [i] | ||
| 11 | Digital (226, 241, 6393423)-net over F4 | [i] | ||
| 12 | Digital (227, 242, 6396353)-net over F4 | [i] | ||
| 13 | Digital (228, 243, 6406736)-net over F4 | [i] | ||
| 14 | Digital (229, 244, 6425879)-net over F4 | [i] | ||
| 15 | Digital (230, 245, 7190226)-net over F4 | [i] | ||