Information on Result #1144123
Linear OOA(2148, 76, F2, 6, 45) (dual of [(76, 6), 308, 46]-NRT-code), using (u, u+v)-construction based on
- linear OOA(228, 10, F2, 6, 22) (dual of [(10, 6), 32, 23]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(6;F,37P) [i] based on function field F/F2 with g(F) = 6 and N(F) ≥ 10, using
- linear OOA(2120, 66, F2, 6, 45) (dual of [(66, 6), 276, 46]-NRT-code), using
- extracting embedded OOA [i] based on digital (75, 120, 66)-net over F2, using
- trace code for nets [i] based on digital (15, 60, 33)-net over F4, using
- net from sequence [i] based on digital (15, 32)-sequence over F4, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F4 with g(F) = 15 and N(F) ≥ 33, using
- net from sequence [i] based on digital (15, 32)-sequence over F4, using
- trace code for nets [i] based on digital (15, 60, 33)-net over F4, using
- extracting embedded OOA [i] based on digital (75, 120, 66)-net over F2, 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(2149, 76, F2, 6, 45) (dual of [(76, 6), 307, 46]-NRT-code) | [i] | OOA Duplication |