Information on Result #1205294
Digital (201, 220, 3728264)-net over F4, using trace code for nets based on digital (36, 55, 932066)-net over F256, using
- net defined by OOA [i] based on linear OOA(25655, 932066, F256, 19, 19) (dual of [(932066, 19), 17709199, 20]-NRT-code), using
- OOA 9-folding and stacking with additional row [i] based on linear OA(25655, 8388595, F256, 19) (dual of [8388595, 8388540, 20]-code), using
- discarding factors / shortening the dual code based on linear OA(25655, large, F256, 19) (dual of [large, large−55, 20]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 16777215 = 2563−1, defining interval I = [0,18], and designed minimum distance d ≥ |I|+1 = 20 [i]
- discarding factors / shortening the dual code based on linear OA(25655, large, F256, 19) (dual of [large, large−55, 20]-code), using
- OOA 9-folding and stacking with additional row [i] based on linear OA(25655, 8388595, F256, 19) (dual of [8388595, 8388540, 20]-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 (202, 221, 3728264)-net over F4 | [i] | Net Duplication | |
| 2 | Digital (203, 222, 3728264)-net over F4 | [i] | ||
| 3 | Digital (204, 223, 3728264)-net over F4 | [i] | ||
| 4 | Digital (205, 224, 3728264)-net over F4 | [i] | ||
| 5 | Digital (206, 225, 3728264)-net over F4 | [i] | ||
| 6 | Digital (207, 226, 3728264)-net over F4 | [i] | ||
| 7 | Digital (208, 227, 3728264)-net over F4 | [i] | ||
| 8 | Digital (209, 228, 3728264)-net over F4 | [i] | ||
| 9 | Digital (210, 229, 3728269)-net over F4 | [i] | (u, u+v)-Construction for Nets | |
| 10 | Digital (211, 230, 3728273)-net over F4 | [i] | ||
| 11 | Digital (212, 231, 3728274)-net over F4 | [i] | ||
| 12 | Digital (213, 232, 3728278)-net over F4 | [i] | ||
| 13 | Digital (214, 233, 3728279)-net over F4 | [i] | ||
| 14 | Digital (215, 234, 3728281)-net over F4 | [i] | ||
| 15 | Digital (216, 235, 3728282)-net over F4 | [i] | ||
| 16 | Digital (217, 236, 3728285)-net over F4 | [i] | ||
| 17 | Digital (218, 237, 3728288)-net over F4 | [i] | ||
| 18 | Digital (219, 238, 3728298)-net over F4 | [i] | ||
| 19 | Digital (221, 240, 3728312)-net over F4 | [i] | ||
| 20 | Digital (223, 242, 3728330)-net over F4 | [i] | ||
| 21 | Digital (225, 244, 3728340)-net over F4 | [i] | ||
| 22 | Digital (227, 246, 3728354)-net over F4 | [i] | ||
| 23 | Digital (228, 247, 3728459)-net over F4 | [i] | ||
| 24 | Digital (231, 250, 3728504)-net over F4 | [i] | ||
| 25 | Digital (232, 251, 3728520)-net over F4 | [i] | ||
| 26 | Digital (233, 252, 3728521)-net over F4 | [i] | ||
| 27 | Digital (234, 253, 3728522)-net over F4 | [i] | ||
| 28 | Digital (235, 254, 3728778)-net over F4 | [i] | ||
| 29 | Digital (237, 256, 3729292)-net over F4 | [i] | ||
| 30 | Digital (241, 260, 3729297)-net over F4 | [i] | ||
| 31 | (234, 253, 3728651)-net in base 4 | [i] | ||