Information on Result #1080339
Linear OOA(2253, 272, F2, 4, 49) (dual of [(272, 4), 835, 50]-NRT-code), using (u, u+v)-construction based on
- linear OOA(233, 12, F2, 4, 24) (dual of [(12, 4), 15, 25]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(4;F,23P) [i] based on function field F/F2 with g(F) = 9 and N(F) ≥ 12, using
- linear OOA(2220, 260, F2, 4, 49) (dual of [(260, 4), 820, 50]-NRT-code), using
- extracting embedded OOA [i] based on digital (171, 220, 260)-net over F2, using
- trace code for nets [i] based on digital (6, 55, 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, 55, 65)-net over F16, using
- extracting embedded OOA [i] based on digital (171, 220, 260)-net over F2, 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(2254, 272, F2, 4, 49) (dual of [(272, 4), 834, 50]-NRT-code) | [i] | OOA Duplication | |
| 2 | Linear OOA(2253, 136, F2, 8, 49) (dual of [(136, 8), 835, 50]-NRT-code) | [i] | OOA Folding | |