Information on Result #896790
Linear OOA(8100, 399, F8, 2, 31) (dual of [(399, 2), 698, 32]-NRT-code), using (u, u+v)-construction based on
- linear OOA(824, 45, F8, 2, 15) (dual of [(45, 2), 66, 16]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(2;F,74P) [i] based on function field F/F8 with g(F) = 9 and N(F) ≥ 45, using
- linear OOA(876, 354, F8, 2, 31) (dual of [(354, 2), 632, 32]-NRT-code), using
- extracting embedded OOA [i] based on digital (45, 76, 354)-net over F8, using
- trace code for nets [i] based on digital (7, 38, 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, 38, 177)-net over F64, using
- extracting embedded OOA [i] based on digital (45, 76, 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(8100, 199, F8, 3, 31) (dual of [(199, 3), 497, 32]-NRT-code) | [i] | OOA Folding | |