Information on Result #1080421
Linear OOA(2173, 76, F2, 4, 55) (dual of [(76, 4), 131, 56]-NRT-code), using (u, u+v)-construction based on
- linear OOA(264, 34, F2, 4, 27) (dual of [(34, 4), 72, 28]-NRT-code), using
- extracting embedded OOA [i] based on digital (37, 64, 34)-net over F2, using
- trace code for nets [i] based on digital (5, 32, 17)-net over F4, using
- net from sequence [i] based on digital (5, 16)-sequence over F4, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F4 with g(F) = 5 and N(F) ≥ 17, using
- net from sequence [i] based on digital (5, 16)-sequence over F4, using
- trace code for nets [i] based on digital (5, 32, 17)-net over F4, using
- extracting embedded OOA [i] based on digital (37, 64, 34)-net over F2, using
- linear OOA(2109, 42, F2, 4, 55) (dual of [(42, 4), 59, 56]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(4;F,112P) [i] based on function field F/F2 with g(F) = 54 and N(F) ≥ 42, 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(2174, 76, F2, 4, 55) (dual of [(76, 4), 130, 56]-NRT-code) | [i] | OOA Duplication | |
| 2 | Linear OOA(2173, 38, F2, 7, 55) (dual of [(38, 7), 93, 56]-NRT-code) | [i] | OOA Folding | |
| 3 | Linear OOA(2173, 38, F2, 8, 55) (dual of [(38, 8), 131, 56]-NRT-code) | [i] | ||