Information on Result #897131
Linear OOA(8144, 382, F8, 2, 50) (dual of [(382, 2), 620, 51]-NRT-code), using (u, u+v)-construction based on
- linear OOA(830, 28, F8, 2, 25) (dual of [(28, 2), 26, 26]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(2;F,30P) [i] based on function field F/F8 with g(F) = 5 and N(F) ≥ 28, using
- linear OOA(8114, 354, F8, 2, 50) (dual of [(354, 2), 594, 51]-NRT-code), using
- extracting embedded OOA [i] based on digital (64, 114, 354)-net over F8, using
- trace code for nets [i] based on digital (7, 57, 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, 57, 177)-net over F64, using
- extracting embedded OOA [i] based on digital (64, 114, 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(8145, 382, F8, 2, 50) (dual of [(382, 2), 619, 51]-NRT-code) | [i] | OOA Duplication | |
| 2 | Linear OOA(8144, 191, F8, 3, 50) (dual of [(191, 3), 429, 51]-NRT-code) | [i] | OOA Folding | |