Information on Result #747396
Digital (110, 256, 57)-net over F2, using net from sequence based on digital (110, 56)-sequence over F2, using
- Niederreiter–Xing sequence construction III based on the algebraic function field F/F2 with g(F) = 69, N(F) = 48, 1 place with degree 2, and 8 places with degree 6 [i] based on function field F/F2 with g(F) = 69 and N(F) ≥ 48, using an explicitly constructive algebraic function field [i]
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 (111, 256, 57)-net over F2 | [i] | t-Expansion | |
2 | Digital (112, 256, 57)-net over F2 | [i] | ||
3 | Digital (113, 256, 57)-net over F2 | [i] | ||
4 | Digital (114, 256, 57)-net over F2 | [i] | ||
5 | Digital (115, 256, 57)-net over F2 | [i] | ||
6 | Digital (116, 256, 57)-net over F2 | [i] | ||
7 | Digital (117, 256, 57)-net over F2 | [i] | ||
8 | Digital (118, 256, 57)-net over F2 | [i] | ||
9 | Digital (119, 256, 57)-net over F2 | [i] | ||
10 | Digital (120, 256, 57)-net over F2 | [i] | ||
11 | Digital (121, 256, 57)-net over F2 | [i] | ||
12 | Digital (122, 256, 57)-net over F2 | [i] | ||
13 | Digital (123, 256, 57)-net over F2 | [i] | ||
14 | Digital (124, 256, 57)-net over F2 | [i] | ||
15 | Digital (125, 256, 57)-net over F2 | [i] | ||
16 | Digital (126, 256, 57)-net over F2 | [i] | ||
17 | Digital (127, 256, 57)-net over F2 | [i] | ||
18 | Digital (128, 256, 57)-net over F2 | [i] | ||
19 | Digital (129, 256, 57)-net over F2 | [i] | ||
20 | Digital (130, 256, 57)-net over F2 | [i] | ||
21 | Linear OOA(2256, 57, F2, 6, 146) (dual of [(57, 6), 86, 147]-NRT-code) | [i] | Extracting Embedded OOA | |
22 | Linear OOA(2256, 57, F2, 7, 146) (dual of [(57, 7), 143, 147]-NRT-code) | [i] | ||
23 | Linear OOA(2256, 57, F2, 8, 146) (dual of [(57, 8), 200, 147]-NRT-code) | [i] |