Information on Result #1149859
Linear OOA(2233, 78, F2, 6, 86) (dual of [(78, 6), 235, 87]-NRT-code), using (u, u+v)-construction based on
- linear OOA(282, 33, F2, 6, 43) (dual of [(33, 6), 116, 44]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(6;F,154P) [i] based on function field F/F2 with g(F) = 39 and N(F) ≥ 33, using
- linear OOA(2151, 45, F2, 6, 86) (dual of [(45, 6), 119, 87]-NRT-code), using
- construction X applied to AG(6;F,27P) ⊂ AG(6;F,29P) [i] based on
- linear OOA(2143, 42, F2, 6, 89) (dual of [(42, 6), 109, 90]-NRT-code), using algebraic-geometric NRT-code AG(6;F,27P) 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(2131, 42, F2, 6, 77) (dual of [(42, 6), 121, 78]-NRT-code), using algebraic-geometric NRT-code AG(6;F,29P) with degPÂ =Â 6 [i] based on function field F/F2 with g(F) = 54 and N(F) ≥ 42 (see above)
- linear OOA(28, 3, F2, 6, 8) (dual of [(3, 6), 10, 9]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(6;10,2) [i]
- construction X applied to AG(6;F,27P) ⊂ AG(6;F,29P) [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(2233, 78, F2, 6, 85) (dual of [(78, 6), 235, 86]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(2233, 78, F2, 6, 84) (dual of [(78, 6), 235, 85]-NRT-code) | [i] | ||