Information on Result #897206
Linear OOA(8162, 402, F8, 2, 55) (dual of [(402, 2), 642, 56]-NRT-code), using (u, u+v)-construction based on
- linear OOA(838, 48, F8, 2, 27) (dual of [(48, 2), 58, 28]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(2;F,68P) [i] based on function field F/F8 with g(F) = 11 and N(F) ≥ 48, using
- linear OOA(8124, 354, F8, 2, 55) (dual of [(354, 2), 584, 56]-NRT-code), using
- extracting embedded OOA [i] based on digital (69, 124, 354)-net over F8, using
- trace code for nets [i] based on digital (7, 62, 177)-net over F64, using
- net from sequence [i] based on digital (7, 176)-sequence over F64, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F64 with g(F) = 7 and N(F) ≥ 177, using
- net from sequence [i] based on digital (7, 176)-sequence over F64, using
- trace code for nets [i] based on digital (7, 62, 177)-net over F64, using
- extracting embedded OOA [i] based on digital (69, 124, 354)-net over F8, 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(8164, 403, F8, 2, 55) (dual of [(403, 2), 642, 56]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 2 | Linear OOA(8163, 402, F8, 2, 55) (dual of [(402, 2), 641, 56]-NRT-code) | [i] | OOA Duplication | |
| 3 | Linear OOA(8162, 201, F8, 3, 55) (dual of [(201, 3), 441, 56]-NRT-code) | [i] | OOA Folding | |