Information on Result #1163877
Linear OOA(2254, 78, F2, 7, 100) (dual of [(78, 7), 292, 101]-NRT-code), using (u, u+v)-construction based on
- linear OOA(289, 33, F2, 7, 50) (dual of [(33, 7), 142, 51]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(7;F,180P) [i] based on function field F/F2 with g(F) = 39 and N(F) ≥ 33, using
- linear OOA(2165, 45, F2, 7, 100) (dual of [(45, 7), 150, 101]-NRT-code), using
- construction X applied to AG(7;F,32P) ⊂ AG(7;F,34P) [i] based on
- linear OOA(2155, 42, F2, 7, 101) (dual of [(42, 7), 139, 102]-NRT-code), using algebraic-geometric NRT-code AG(7;F,32P) 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]
- linear OOA(2143, 42, F2, 7, 89) (dual of [(42, 7), 151, 90]-NRT-code), using algebraic-geometric NRT-code AG(7;F,34P) with degPÂ =Â 6 [i] based on function field F/F2 with g(F) = 54 and N(F) ≥ 42 (see above)
- linear OOA(210, 3, F2, 7, 10) (dual of [(3, 7), 11, 11]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(7;11,2) [i]
- construction X applied to AG(7;F,32P) ⊂ AG(7;F,34P) [i] based on
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(2254, 78, F2, 7, 99) (dual of [(78, 7), 292, 100]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(2254, 78, F2, 7, 98) (dual of [(78, 7), 292, 99]-NRT-code) | [i] | ||
| 3 | Linear OOA(2257, 78, F2, 7, 100) (dual of [(78, 7), 289, 101]-NRT-code) | [i] | OOA Duplication | |