Information on Result #1149195
Linear OOA(2260, 55, F2, 6, 169) (dual of [(55, 6), 70, 170]-NRT-code), using construction X applied to AG(6;F,59P) ⊂ AG(6;F,69P) based on
- linear OOA(2238, 48, F2, 6, 169) (dual of [(48, 6), 50, 170]-NRT-code), using algebraic-geometric NRT-code AG(6;F,59P) 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(2218, 48, F2, 6, 149) (dual of [(48, 6), 70, 150]-NRT-code), using algebraic-geometric NRT-code AG(6;F,69P) with degPÂ =Â 2 [i] based on function field F/F2 with g(F) = 69 and N(F) ≥ 48 (see above)
- linear OOA(222, 7, F2, 6, 19) (dual of [(7, 6), 20, 20]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(6;F,22P) [i] based on function field F/F2 with g(F) = 3 and N(F) ≥ 7, 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(2260, 55, F2, 6, 168) (dual of [(55, 6), 70, 169]-NRT-code) | [i] | Strength Reduction for OOAs | |
2 | Linear OOA(2260, 55, F2, 6, 167) (dual of [(55, 6), 70, 168]-NRT-code) | [i] | ||
3 | Linear OOA(2260, 55, F2, 6, 166) (dual of [(55, 6), 70, 167]-NRT-code) | [i] |