Information on Result #1836505
OOA(827, 528, S8, 3, 8), using (u, u+v)-construction based on
- linear OOA(85, 14, F8, 3, 4) (dual of [(14, 3), 37, 5]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(3;F,37P) [i] based on function field F/F8 with g(F) = 1 and N(F) ≥ 14, using
- OOA(822, 514, S8, 3, 8), using
- extracting embedded OOA [i] based on (14, 22, 514)-net in base 8, using
- trace code for nets [i] based on (3, 11, 257)-net in base 64, using
- 1 times m-reduction [i] based on (3, 12, 257)-net in base 64, using
- base change [i] based on digital (0, 9, 257)-net over F256, using
- net from sequence [i] based on digital (0, 256)-sequence over F256, using
- generalized Faure sequence [i]
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F256 with g(F) = 0 and N(F) ≥ 257, using
- the rational function field F256(x) [i]
- Niederreiter sequence [i]
- net from sequence [i] based on digital (0, 256)-sequence over F256, using
- base change [i] based on digital (0, 9, 257)-net over F256, using
- 1 times m-reduction [i] based on (3, 12, 257)-net in base 64, using
- trace code for nets [i] based on (3, 11, 257)-net in base 64, using
- extracting embedded OOA [i] based on (14, 22, 514)-net in base 8, using
Mode: Constructive.
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 | OOA(8149, 5592930, S8, 3, 16) | [i] | (u, u+v)-Construction for OOAs | |
| 2 | OOA(8157, 5592930, S8, 3, 17) | [i] | ||