Information on Result #1128226
Linear OOA(2257, 61, F2, 5, 150) (dual of [(61, 5), 48, 151]-NRT-code), using construction X applied to AG(5;F,44P) ⊂ AG(5;F,58P) based on
- linear OOA(2220, 48, F2, 5, 151) (dual of [(48, 5), 20, 152]-NRT-code), using algebraic-geometric NRT-code AG(5;F,44P) with degPÂ =Â 2 [i] based on function field F/F2 with g(F) = 69 and N(F) ≥ 48, using an explicitly constructive algebraic function field [i]
- linear OOA(2192, 48, F2, 5, 123) (dual of [(48, 5), 48, 124]-NRT-code), using algebraic-geometric NRT-code AG(5;F,58P) with degPÂ =Â 2 [i] based on function field F/F2 with g(F) = 69 and N(F) ≥ 48 (see above)
- linear OOA(237, 13, F2, 5, 26) (dual of [(13, 5), 28, 27]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(237, 14, F2, 5, 26) (dual of [(14, 5), 33, 27]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(5;F,43P) [i] based on function field F/F2 with g(F) = 11 and N(F) ≥ 14, using
- discarding factors / shortening the dual code based on linear OOA(237, 14, F2, 5, 26) (dual of [(14, 5), 33, 27]-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(2257, 61, F2, 5, 149) (dual of [(61, 5), 48, 150]-NRT-code) | [i] | Strength Reduction for OOAs | |