Information on Result #1122135
Linear OOA(2232, 50, F2, 5, 158) (dual of [(50, 5), 18, 159]-NRT-code), using construction X applied to AG(5;F,0P) ⊂ AG(5;F,56P) based on
- linear OOA(2159, 32, F2, 5, 159) (dual of [(32, 5), 1, 160]-NRT-code), using algebraic-geometric NRT-code AG(5;F,0P) [i] based on function field F/F2 with g(F) = 39 and N(F) ≥ 33, using
- linear OOA(2142, 32, F2, 5, 103) (dual of [(32, 5), 18, 104]-NRT-code), using algebraic-geometric NRT-code AG(5;F,56P) [i] based on function field F/F2 with g(F) = 39 and N(F) ≥ 33 (see above)
- linear OOA(273, 18, F2, 5, 54) (dual of [(18, 5), 17, 55]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(273, 19, F2, 5, 54) (dual of [(19, 5), 22, 55]-NRT-code), using
- algebraic-geometric NRT-code AG(5;F,40P) [i] based on function field F/F2 with g(F) = 19 and N(F) ≥ 20, using
- discarding factors / shortening the dual code based on linear OOA(273, 19, F2, 5, 54) (dual of [(19, 5), 22, 55]-NRT-code), 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(2232, 50, F2, 5, 157) (dual of [(50, 5), 18, 158]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(2232, 50, F2, 5, 156) (dual of [(50, 5), 18, 157]-NRT-code) | [i] | ||