Information on Result #1176487
Linear OOA(2181, 76, F2, 8, 59) (dual of [(76, 8), 427, 60]-NRT-code), using (u, u+v)-construction based on
- linear OOA(268, 34, F2, 8, 29) (dual of [(34, 8), 204, 30]-NRT-code), using
- extracting embedded OOA [i] based on digital (39, 68, 34)-net over F2, using
- trace code for nets [i] based on digital (5, 34, 17)-net over F4, using
- net from sequence [i] based on digital (5, 16)-sequence over F4, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F4 with g(F) = 5 and N(F) ≥ 17, using
- net from sequence [i] based on digital (5, 16)-sequence over F4, using
- trace code for nets [i] based on digital (5, 34, 17)-net over F4, using
- extracting embedded OOA [i] based on digital (39, 68, 34)-net over F2, using
- linear OOA(2113, 42, F2, 8, 59) (dual of [(42, 8), 223, 60]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(8;F,276P) [i] based on function field F/F2 with g(F) = 54 and N(F) ≥ 42, using
- algebraic-geometric NRT-code AG(8;F,46P) with degPÂ =Â 6 [i] based on function field F/F2 with g(F) = 54 and N(F) ≥ 42, using an explicitly constructive algebraic function field [i]
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(2181, 76, F2, 8, 58) (dual of [(76, 8), 427, 59]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(2182, 76, F2, 8, 59) (dual of [(76, 8), 426, 60]-NRT-code) | [i] | OOA Duplication | |
| 3 | Linear OOA(2183, 76, F2, 8, 59) (dual of [(76, 8), 425, 60]-NRT-code) | [i] | ||