Information on Result #1015492
Linear OOA(8140, 419, F8, 3, 45) (dual of [(419, 3), 1117, 46]-NRT-code), using (u, u+v)-construction based on
- linear OOA(836, 65, F8, 3, 22) (dual of [(65, 3), 159, 23]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(3;F,172P) [i] based on function field F/F8 with g(F) = 14 and N(F) ≥ 65, using
- the Suzuki function field over F8 [i]
- extended algebraic-geometric NRT-code AGe(3;F,172P) [i] based on function field F/F8 with g(F) = 14 and N(F) ≥ 65, using
- linear OOA(8104, 354, F8, 3, 45) (dual of [(354, 3), 958, 46]-NRT-code), using
- extracting embedded OOA [i] based on digital (59, 104, 354)-net over F8, using
- trace code for nets [i] based on digital (7, 52, 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, 52, 177)-net over F64, using
- extracting embedded OOA [i] based on digital (59, 104, 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(8140, 419, F8, 3, 44) (dual of [(419, 3), 1117, 45]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(8143, 420, F8, 3, 45) (dual of [(420, 3), 1117, 46]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 3 | Linear OOA(8141, 419, F8, 3, 45) (dual of [(419, 3), 1116, 46]-NRT-code) | [i] | OOA Duplication | |
| 4 | Linear OOA(8142, 419, F8, 3, 45) (dual of [(419, 3), 1115, 46]-NRT-code) | [i] | ||