Information on Result #1004657
Linear OOA(712, 100, F7, 3, 6) (dual of [(100, 3), 288, 7]-NRT-code), using extracting embedded OOA based on digital (6, 12, 100)-net over F7, using
- trace code for nets [i] based on digital (0, 6, 50)-net over F49, using
- net from sequence [i] based on digital (0, 49)-sequence over F49, using
- generalized Faure sequence [i]
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F49 with g(F) = 0 and N(F) ≥ 50, using
- the rational function field F49(x) [i]
- Niederreiter sequence [i]
- net from sequence [i] based on digital (0, 49)-sequence over F49, 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(713, 100, F7, 3, 6) (dual of [(100, 3), 287, 7]-NRT-code) | [i] | OOA Duplication | |
| 2 | Linear OOA(715, 108, F7, 3, 6) (dual of [(108, 3), 309, 7]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 3 | Linear OOA(716, 150, F7, 3, 6) (dual of [(150, 3), 434, 7]-NRT-code) | [i] | ||
| 4 | Linear OOA(717, 200, F7, 3, 6) (dual of [(200, 3), 583, 7]-NRT-code) | [i] | ||
| 5 | Linear OOA(736, 200, F7, 3, 12) (dual of [(200, 3), 564, 13]-NRT-code) | [i] | ||
| 6 | Linear OOA(738, 202, F7, 3, 12) (dual of [(202, 3), 568, 13]-NRT-code) | [i] | ||
| 7 | Linear OOA(7102, 3843302, F7, 3, 12) (dual of [(3843302, 3), 11529804, 13]-NRT-code) | [i] | ||
| 8 | Linear OOA(7104, 3843306, F7, 3, 12) (dual of [(3843306, 3), 11529814, 13]-NRT-code) | [i] | ||
| 9 | Linear OOA(738, 200, F7, 3, 13) (dual of [(200, 3), 562, 14]-NRT-code) | [i] | ||
| 10 | Linear OOA(740, 202, F7, 3, 13) (dual of [(202, 3), 566, 14]-NRT-code) | [i] | ||
| 11 | Linear OOA(7110, 3843302, F7, 3, 13) (dual of [(3843302, 3), 11529796, 14]-NRT-code) | [i] | ||
| 12 | Linear OOA(742, 208, F7, 3, 13) (dual of [(208, 3), 582, 14]-NRT-code) | [i] | Generalized (u, u+v)-Construction for OOAs | |
| 13 | Linear OOA(743, 213, F7, 3, 13) (dual of [(213, 3), 596, 14]-NRT-code) | [i] | ||
| 14 | Linear OOA(719, 208, F7, 3, 6) (dual of [(208, 3), 605, 7]-NRT-code) | [i] | ||