Information on Result #1182026
Digital (210, 231, 838860)-net over F2, using net defined by OOA based on linear OOA(2231, 838860, F2, 21, 21) (dual of [(838860, 21), 17615829, 22]-NRT-code), using
- OOA 10-folding and stacking with additional row [i] based on linear OA(2231, 8388601, F2, 21) (dual of [8388601, 8388370, 22]-code), using
- discarding factors / shortening the dual code based on linear OA(2231, large, F2, 21) (dual of [large, large−231, 22]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 8388609 | 246−1, defining interval I = [0,10], and minimum distance d ≥ |{−10,−9,…,10}|+1 = 22 (BCH-bound) [i]
- discarding factors / shortening the dual code based on linear OA(2231, large, F2, 21) (dual of [large, large−231, 22]-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 (211, 231, 838860)-net over F2 | [i] | t-Expansion | |
| 2 | Digital (211, 232, 838860)-net over F2 | [i] | Net Duplication | |
| 3 | Digital (212, 233, 838860)-net over F2 | [i] | ||
| 4 | Digital (213, 234, 838860)-net over F2 | [i] | ||
| 5 | Digital (214, 235, 838860)-net over F2 | [i] | ||
| 6 | Digital (215, 236, 838860)-net over F2 | [i] | ||
| 7 | Digital (216, 237, 838860)-net over F2 | [i] | ||
| 8 | Digital (217, 238, 838860)-net over F2 | [i] | ||
| 9 | Digital (218, 239, 838860)-net over F2 | [i] | ||
| 10 | Digital (219, 240, 838860)-net over F2 | [i] | ||
| 11 | Digital (220, 241, 838863)-net over F2 | [i] | (u, u+v)-Construction for Nets | |
| 12 | Digital (221, 242, 838865)-net over F2 | [i] | ||
| 13 | Digital (222, 243, 838866)-net over F2 | [i] | ||
| 14 | Digital (223, 244, 838867)-net over F2 | [i] | ||
| 15 | Digital (224, 245, 838868)-net over F2 | [i] | ||
| 16 | Digital (225, 246, 838869)-net over F2 | [i] | ||
| 17 | Digital (226, 247, 838871)-net over F2 | [i] | ||
| 18 | Digital (227, 248, 838873)-net over F2 | [i] | ||
| 19 | Digital (228, 249, 838875)-net over F2 | [i] | ||
| 20 | Digital (229, 250, 838877)-net over F2 | [i] | ||
| 21 | Digital (230, 251, 838881)-net over F2 | [i] | ||
| 22 | Digital (231, 252, 838883)-net over F2 | [i] | ||
| 23 | Digital (233, 254, 838885)-net over F2 | [i] | ||
| 24 | Digital (234, 255, 838886)-net over F2 | [i] | ||
| 25 | Digital (235, 256, 838887)-net over F2 | [i] | ||
| 26 | Digital (236, 257, 838889)-net over F2 | [i] | ||
| 27 | Digital (237, 258, 838890)-net over F2 | [i] | ||
| 28 | Digital (238, 259, 838892)-net over F2 | [i] | ||
| 29 | Digital (239, 260, 838895)-net over F2 | [i] | ||