Information on Result #3000732
Linear OOA(2248, 262, F2, 8, 52) (dual of [(262, 8), 1848, 53]-NRT-code), using 2 times NRT-code embedding in larger space based on linear OOA(2232, 260, F2, 8, 52) (dual of [(260, 8), 1848, 53]-NRT-code), using
- extracting embedded OOA [i] based on digital (180, 232, 260)-net over F2, using
- trace code for nets [i] based on digital (6, 58, 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, 58, 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(2249, 262, F2, 8, 52) (dual of [(262, 8), 1847, 53]-NRT-code) | [i] | OOA Duplication | |
| 2 | Linear OOA(2250, 262, F2, 8, 52) (dual of [(262, 8), 1846, 53]-NRT-code) | [i] | ||
| 3 | Linear OOA(2251, 262, F2, 8, 52) (dual of [(262, 8), 1845, 53]-NRT-code) | [i] | ||
| 4 | Linear OOA(2252, 262, F2, 8, 52) (dual of [(262, 8), 1844, 53]-NRT-code) | [i] | ||
| 5 | Linear OOA(2253, 262, F2, 8, 52) (dual of [(262, 8), 1843, 53]-NRT-code) | [i] | ||
| 6 | Linear OOA(2254, 262, F2, 8, 52) (dual of [(262, 8), 1842, 53]-NRT-code) | [i] | ||
| 7 | Linear OOA(2255, 262, F2, 8, 52) (dual of [(262, 8), 1841, 53]-NRT-code) | [i] | ||