Information on Result #2948796
Linear OOA(2172, 54, F2, 7, 79) (dual of [(54, 7), 206, 80]-NRT-code), using strength reduction based on linear OOA(2172, 54, F2, 7, 80) (dual of [(54, 7), 206, 81]-NRT-code), using
- construction X applied to AG(7;F,127P) ⊂ AG(7;F,138P) [i] based on
- 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, using an explicitly constructive algebraic function field [i]
- linear OOA(2128, 48, F2, 7, 59) (dual of [(48, 7), 208, 60]-NRT-code), using algebraic-geometric NRT-code AG(7;F,138P) with degPÂ =Â 2 [i] based on function field F/F2 with g(F) = 69 and N(F) ≥ 48 (see above)
- linear OOA(222, 6, F2, 7, 20) (dual of [(6, 7), 20, 21]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(7;F,21P) [i] based on function field F/F2 with g(F) = 2 and N(F) ≥ 6, 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
None.