Information on Result #1838872
OOA(12854, 545, S128, 4, 29), using (u, u+v)-construction based on
- OOA(12816, 257, S128, 4, 14), using
- extracting embedded OOA [i] based on (2, 16, 257)-net in base 128, using
- base change [i] based on digital (0, 14, 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, 14, 257)-net over F256, using
- extracting embedded OOA [i] based on (2, 16, 257)-net in base 128, using
- linear OOA(12838, 288, F128, 4, 29) (dual of [(288, 4), 1114, 30]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(4;F,1122P) [i] based on function field F/F128 with g(F) = 9 and N(F) ≥ 288, 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(12854, 545, S128, 4, 28) | [i] | Strength Reduction for OOAs | |
| 2 | OOA(12855, 545, S128, 4, 29) | [i] | OOA Duplication | |