Information on Result #1014206
Linear OOA(817, 260, F8, 3, 6) (dual of [(260, 3), 763, 7]-NRT-code), using (u, u+v)-construction based on
- linear OOA(85, 208, F8, 3, 3) (dual of [(208, 3), 619, 4]-NRT-code), using
- appending kth column [i] based on linear OOA(85, 208, F8, 2, 3) (dual of [(208, 2), 411, 4]-NRT-code), using
- linear OOA(812, 130, F8, 3, 6) (dual of [(130, 3), 378, 7]-NRT-code), using
- extracting embedded OOA [i] based on digital (6, 12, 130)-net over F8, using
- trace code for nets [i] based on digital (0, 6, 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, 6, 65)-net over F64, using
- extracting embedded OOA [i] based on digital (6, 12, 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(818, 260, F8, 3, 6) (dual of [(260, 3), 762, 7]-NRT-code) | [i] | OOA Duplication | |
| 2 | Linear OOA(8107, 5592662, F8, 3, 12) (dual of [(5592662, 3), 16777879, 13]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 3 | Linear OOA(8115, 5592662, F8, 3, 13) (dual of [(5592662, 3), 16777871, 14]-NRT-code) | [i] | ||
| 4 | Linear OOA(817, 259, F8, 9, 6) (dual of [(259, 9), 2314, 7]-NRT-code) | [i] | OOA Stacking with Additional Row | |