Information on Result #1129471
Linear OOA(2234, 79, F2, 5, 86) (dual of [(79, 5), 161, 87]-NRT-code), using (u, u+v)-construction based on
- linear OOA(282, 33, F2, 5, 43) (dual of [(33, 5), 83, 44]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(5;F,121P) [i] based on function field F/F2 with g(F) = 39 and N(F) ≥ 33, using
- linear OOA(2152, 46, F2, 5, 86) (dual of [(46, 5), 78, 87]-NRT-code), using
- construction X applied to AG(5;F,20P) ⊂ AG(5;F,22P) [i] based on
- linear OOA(2143, 42, F2, 5, 89) (dual of [(42, 5), 67, 90]-NRT-code), using algebraic-geometric NRT-code AG(5;F,20P) 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, 5, 77) (dual of [(42, 5), 79, 78]-NRT-code), using algebraic-geometric NRT-code AG(5;F,22P) with degPÂ =Â 6 [i] based on function field F/F2 with g(F) = 54 and N(F) ≥ 42 (see above)
- linear OOA(29, 4, F2, 5, 8) (dual of [(4, 5), 11, 9]-NRT-code), using
- OOA stacking with additional row [i] based on linear OOA(29, 5, F2, 4, 8) (dual of [(5, 4), 11, 9]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(4;F,11P) [i] based on function field F/F2 with g(F) = 1 and N(F) ≥ 5, using
- OOA stacking with additional row [i] based on linear OOA(29, 5, F2, 4, 8) (dual of [(5, 4), 11, 9]-NRT-code), using
- construction X applied to AG(5;F,20P) ⊂ AG(5;F,22P) [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(2234, 79, F2, 5, 85) (dual of [(79, 5), 161, 86]-NRT-code) | [i] | Strength Reduction for OOAs | |