Information on Result #1205218
Digital (231, 254, 1525200)-net over F4, using trace code for nets based on digital (104, 127, 762600)-net over F16, using
- net defined by OOA [i] based on linear OOA(16127, 762600, F16, 23, 23) (dual of [(762600, 23), 17539673, 24]-NRT-code), using
- OOA 11-folding and stacking with additional row [i] based on linear OA(16127, 8388601, F16, 23) (dual of [8388601, 8388474, 24]-code), using
- discarding factors / shortening the dual code based on linear OA(16127, large, F16, 23) (dual of [large, large−127, 24]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 16777215 = 166−1, defining interval I = [0,22], and designed minimum distance d ≥ |I|+1 = 24 [i]
- discarding factors / shortening the dual code based on linear OA(16127, large, F16, 23) (dual of [large, large−127, 24]-code), using
- OOA 11-folding and stacking with additional row [i] based on linear OA(16127, 8388601, F16, 23) (dual of [8388601, 8388474, 24]-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 (232, 255, 1525200)-net over F4 | [i] | Net Duplication | |
| 2 | Digital (233, 256, 1525200)-net over F4 | [i] | ||
| 3 | Digital (234, 257, 1525200)-net over F4 | [i] | ||
| 4 | Digital (235, 258, 1525200)-net over F4 | [i] | ||
| 5 | Digital (236, 259, 1525200)-net over F4 | [i] | ||
| 6 | Digital (237, 260, 1525200)-net over F4 | [i] | ||