Information on Result #1014224
Linear OOA(818, 195, F8, 3, 7) (dual of [(195, 3), 567, 8]-NRT-code), using (u, u+v)-construction based on
- linear OOA(84, 65, F8, 3, 3) (dual of [(65, 3), 191, 4]-NRT-code), using
- linear OOA(814, 130, F8, 3, 7) (dual of [(130, 3), 376, 8]-NRT-code), using
- extracting embedded OOA [i] based on digital (7, 14, 130)-net over F8, using
- trace code for nets [i] based on digital (0, 7, 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, 7, 65)-net over F64, using
- extracting embedded OOA [i] based on digital (7, 14, 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(823, 390, F8, 3, 7) (dual of [(390, 3), 1147, 8]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 2 | Linear OOA(8124, 5592597, F8, 3, 14) (dual of [(5592597, 3), 16777667, 15]-NRT-code) | [i] | ||
| 3 | Linear OOA(8132, 5592597, F8, 3, 15) (dual of [(5592597, 3), 16777659, 16]-NRT-code) | [i] | ||
| 4 | Linear OOA(818, 194, F8, 9, 7) (dual of [(194, 9), 1728, 8]-NRT-code) | [i] | OOA Stacking with Additional Row | |