Information on Result #2966893
Linear OOA(2235, 60, F2, 7, 118) (dual of [(60, 7), 185, 119]-NRT-code), using 21 times duplication based on linear OOA(2234, 60, F2, 7, 118) (dual of [(60, 7), 186, 119]-NRT-code), using
- strength reduction [i] based on linear OOA(2234, 60, F2, 7, 119) (dual of [(60, 7), 186, 120]-NRT-code), using
- construction X applied to AG(7;F,108P) ⊂ AG(7;F,127P) [i] based on
- linear OOA(2188, 48, F2, 7, 119) (dual of [(48, 7), 148, 120]-NRT-code), using algebraic-geometric NRT-code AG(7;F,108P) 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(2150, 48, F2, 7, 81) (dual of [(48, 7), 186, 82]-NRT-code), using algebraic-geometric NRT-code AG(7;F,127P) with degPÂ =Â 2 [i] based on function field F/F2 with g(F) = 69 and N(F) ≥ 48 (see above)
- linear OOA(246, 12, F2, 7, 37) (dual of [(12, 7), 38, 38]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(7;F,46P) [i] based on function field F/F2 with g(F) = 9 and N(F) ≥ 12, using
- construction X applied to AG(7;F,108P) ⊂ AG(7;F,127P) [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.