Information on Result #1014278
Linear OOA(826, 260, F8, 3, 9) (dual of [(260, 3), 754, 10]-NRT-code), using (u, u+v)-construction based on
- linear OOA(88, 130, F8, 3, 4) (dual of [(130, 3), 382, 5]-NRT-code), using
- extracting embedded OOA [i] based on digital (4, 8, 130)-net over F8, using
- trace code for nets [i] based on digital (0, 4, 65)-net over F64, using
- net from sequence [i] based on digital (0, 64)-sequence over F64, using
- generalized Faure sequence [i]
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F64 with g(F) = 0 and N(F) ≥ 65, using
- the rational function field F64(x) [i]
- Niederreiter sequence [i]
- net from sequence [i] based on digital (0, 64)-sequence over F64, using
- trace code for nets [i] based on digital (0, 4, 65)-net over F64, using
- extracting embedded OOA [i] based on digital (4, 8, 130)-net over F8, using
- linear OOA(818, 130, F8, 3, 9) (dual of [(130, 3), 372, 10]-NRT-code), using
- extracting embedded OOA [i] based on digital (9, 18, 130)-net over F8, using
- trace code for nets [i] based on digital (0, 9, 65)-net over F64, using
- net from sequence [i] based on digital (0, 64)-sequence over F64 (see above)
- trace code for nets [i] based on digital (0, 9, 65)-net over F64, using
- extracting embedded OOA [i] based on digital (9, 18, 130)-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(827, 260, F8, 3, 9) (dual of [(260, 3), 753, 10]-NRT-code) | [i] | OOA Duplication | |
| 2 | Linear OOA(8164, 5592662, F8, 3, 18) (dual of [(5592662, 3), 16777822, 19]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 3 | Linear OOA(8172, 5592662, F8, 3, 19) (dual of [(5592662, 3), 16777814, 20]-NRT-code) | [i] | ||