Information on Result #3000537
Linear OOA(2240, 262, F2, 8, 50) (dual of [(262, 8), 1856, 51]-NRT-code), using 2 times NRT-code embedding in larger space based on linear OOA(2224, 260, F2, 8, 50) (dual of [(260, 8), 1856, 51]-NRT-code), using
- extracting embedded OOA [i] based on digital (174, 224, 260)-net over F2, using
- trace code for nets [i] based on digital (6, 56, 65)-net over F16, using
- net from sequence [i] based on digital (6, 64)-sequence over F16, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F16 with g(F) = 6 and N(F) ≥ 65, using
- the Hermitian function field over F16 [i]
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F16 with g(F) = 6 and N(F) ≥ 65, using
- net from sequence [i] based on digital (6, 64)-sequence over F16, using
- trace code for nets [i] based on digital (6, 56, 65)-net over F16, using
Mode: Constructive and linear.
Optimality
Show details for fixed k and m, n and k, k and s, k and t, n and m, m and s, m and t, n and s, n and t.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OOA(2241, 262, F2, 8, 50) (dual of [(262, 8), 1855, 51]-NRT-code) | [i] | OOA Duplication | |
| 2 | Linear OOA(2242, 262, F2, 8, 50) (dual of [(262, 8), 1854, 51]-NRT-code) | [i] | ||
| 3 | Linear OOA(2243, 262, F2, 8, 50) (dual of [(262, 8), 1853, 51]-NRT-code) | [i] | ||
| 4 | Linear OOA(2244, 262, F2, 8, 50) (dual of [(262, 8), 1852, 51]-NRT-code) | [i] | ||
| 5 | Linear OOA(2245, 262, F2, 8, 50) (dual of [(262, 8), 1851, 51]-NRT-code) | [i] | ||
| 6 | Linear OOA(2246, 262, F2, 8, 50) (dual of [(262, 8), 1850, 51]-NRT-code) | [i] | ||
| 7 | Linear OOA(2247, 262, F2, 8, 50) (dual of [(262, 8), 1849, 51]-NRT-code) | [i] | ||