Information on Result #2792666
Linear OOA(2256, 263, F2, 4, 55) (dual of [(263, 4), 796, 56]-NRT-code), using 3 times NRT-code embedding in larger space based on linear OOA(2244, 260, F2, 4, 55) (dual of [(260, 4), 796, 56]-NRT-code), using
- extracting embedded OOA [i] based on digital (189, 244, 260)-net over F2, using
- trace code for nets [i] based on digital (6, 61, 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, 61, 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(2257, 263, F2, 4, 55) (dual of [(263, 4), 795, 56]-NRT-code) | [i] | OOA Duplication | |
| 2 | Linear OOA(2258, 263, F2, 4, 55) (dual of [(263, 4), 794, 56]-NRT-code) | [i] | ||
| 3 | Linear OOA(2259, 263, F2, 4, 55) (dual of [(263, 4), 793, 56]-NRT-code) | [i] | ||