Information on Result #2872306
Linear OOA(2253, 60, F2, 5, 148) (dual of [(60, 5), 47, 149]-NRT-code), using 21 times duplication based on linear OOA(2252, 60, F2, 5, 148) (dual of [(60, 5), 48, 149]-NRT-code), using
- strength reduction [i] based on linear OOA(2252, 60, F2, 5, 149) (dual of [(60, 5), 48, 150]-NRT-code), using
- construction X applied to AG(5;F,45P) ⊂ AG(5;F,58P) [i] based on
- linear OOA(2218, 48, F2, 5, 149) (dual of [(48, 5), 22, 150]-NRT-code), using algebraic-geometric NRT-code AG(5;F,45P) 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(234, 12, F2, 5, 25) (dual of [(12, 5), 26, 26]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(5;F,34P) [i] based on function field F/F2 with g(F) = 9 and N(F) ≥ 12, using
- construction X applied to AG(5;F,45P) ⊂ AG(5;F,58P) [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
None.