Information on Result #1187420
Digital (192, 217, 699050)-net over F4, using net defined by OOA based on linear OOA(4217, 699050, F4, 25, 25) (dual of [(699050, 25), 17476033, 26]-NRT-code), using
- OOA 12-folding and stacking with additional row [i] based on linear OA(4217, 8388601, F4, 25) (dual of [8388601, 8388384, 26]-code), using
- discarding factors / shortening the dual code based on linear OA(4217, large, F4, 25) (dual of [large, large−217, 26]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 16777217 | 424−1, defining interval I = [0,12], and minimum distance d ≥ |{−12,−11,…,12}|+1 = 26 (BCH-bound) [i]
- discarding factors / shortening the dual code based on linear OA(4217, large, F4, 25) (dual of [large, large−217, 26]-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 (193, 217, 699050)-net over F4 | [i] | t-Expansion | |
2 | Digital (193, 218, 699050)-net over F4 | [i] | Net Duplication | |
3 | Digital (194, 219, 699050)-net over F4 | [i] | ||
4 | Digital (195, 220, 699050)-net over F4 | [i] | ||
5 | Digital (196, 221, 699050)-net over F4 | [i] | ||
6 | Digital (197, 222, 699050)-net over F4 | [i] | ||
7 | Digital (198, 223, 699050)-net over F4 | [i] | ||
8 | Digital (199, 224, 699050)-net over F4 | [i] | ||
9 | Digital (200, 225, 699050)-net over F4 | [i] | ||
10 | Digital (201, 226, 699050)-net over F4 | [i] | ||
11 | Digital (202, 227, 699050)-net over F4 | [i] | ||
12 | Digital (203, 228, 699050)-net over F4 | [i] | ||
13 | Digital (204, 229, 699055)-net over F4 | [i] | (u, u+v)-Construction for Nets | |
14 | Digital (205, 230, 699059)-net over F4 | [i] | ||
15 | Digital (206, 231, 699060)-net over F4 | [i] | ||
16 | Digital (207, 232, 699064)-net over F4 | [i] | ||
17 | Digital (208, 233, 699065)-net over F4 | [i] | ||
18 | Digital (209, 234, 699067)-net over F4 | [i] | ||
19 | Digital (210, 235, 699068)-net over F4 | [i] | ||
20 | Digital (211, 236, 699071)-net over F4 | [i] | ||
21 | Digital (213, 238, 699073)-net over F4 | [i] | ||
22 | Digital (214, 239, 699077)-net over F4 | [i] | ||
23 | Digital (216, 241, 699084)-net over F4 | [i] | ||
24 | Digital (218, 243, 699098)-net over F4 | [i] | ||
25 | Digital (220, 245, 699116)-net over F4 | [i] | ||
26 | Digital (222, 247, 699126)-net over F4 | [i] | ||
27 | Digital (224, 249, 699140)-net over F4 | [i] | ||
28 | Digital (226, 251, 699148)-net over F4 | [i] | ||
29 | Digital (228, 253, 699245)-net over F4 | [i] | ||
30 | Digital (231, 256, 699290)-net over F4 | [i] | ||
31 | (234, 259, 699437)-net in base 4 | [i] |