Information on Result #2952673
Linear OOA(2222, 54, F2, 7, 129) (dual of [(54, 7), 156, 130]-NRT-code), using strength reduction based on linear OOA(2222, 54, F2, 7, 130) (dual of [(54, 7), 156, 131]-NRT-code), using
- construction X applied to AG(7;F,102P) ⊂ AG(7;F,113P) [i] based on
- linear OOA(2200, 48, F2, 7, 131) (dual of [(48, 7), 136, 132]-NRT-code), using algebraic-geometric NRT-code AG(7;F,102P) 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(2178, 48, F2, 7, 109) (dual of [(48, 7), 158, 110]-NRT-code), using algebraic-geometric NRT-code AG(7;F,113P) 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.