Information on Result #1160672
Linear OOA(2223, 77, F2, 7, 81) (dual of [(77, 7), 316, 82]-NRT-code), using (u, u+v)-construction based on
- linear OOA(288, 35, F2, 7, 40) (dual of [(35, 7), 157, 41]-NRT-code), using
- extracting embedded OOA [i] based on digital (48, 88, 35)-net over F2, using
- net from sequence [i] based on digital (48, 34)-sequence over F2, using
- Niederreiter–Xing sequence construction III based on the algebraic function field F/F2 with g(F) = 41, N(F) = 32, 1 place with degree 2, and 2 places with degree 4 [i] based on function field F/F2 with g(F) = 41 and N(F) ≥ 32, using an explicitly constructive algebraic function field [i]
- net from sequence [i] based on digital (48, 34)-sequence over F2, using
- extracting embedded OOA [i] based on digital (48, 88, 35)-net over F2, using
- linear OOA(2135, 42, F2, 7, 81) (dual of [(42, 7), 159, 82]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(7;F,212P) [i] based on function field F/F2 with g(F) = 54 and N(F) ≥ 42, 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(2223, 77, F2, 7, 80) (dual of [(77, 7), 316, 81]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(2224, 77, F2, 7, 81) (dual of [(77, 7), 315, 82]-NRT-code) | [i] | OOA Duplication | |