Information on Result #1129455
Linear OOA(2228, 79, F2, 5, 82) (dual of [(79, 5), 167, 83]-NRT-code), using (u, u+v)-construction based on
- linear OOA(287, 35, F2, 5, 41) (dual of [(35, 5), 88, 42]-NRT-code), using
- construction X applied to AG(5;F,118P) ⊂ AG(5;F,126P) [i] based on
- linear OOA(280, 32, F2, 5, 41) (dual of [(32, 5), 80, 42]-NRT-code), using algebraic-geometric NRT-code AG(5;F,118P) [i] based on function field F/F2 with g(F) = 39 and N(F) ≥ 33, using
- linear OOA(272, 32, F2, 5, 33) (dual of [(32, 5), 88, 34]-NRT-code), using algebraic-geometric NRT-code AG(5;F,126P) [i] based on function field F/F2 with g(F) = 39 and N(F) ≥ 33 (see above)
- linear OOA(27, 3, F2, 5, 7) (dual of [(3, 5), 8, 8]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(5;8,2) [i]
- construction X applied to AG(5;F,118P) ⊂ AG(5;F,126P) [i] based on
- linear OOA(2141, 44, F2, 5, 82) (dual of [(44, 5), 79, 83]-NRT-code), using
- construction X applied to AG(5;F,21P) ⊂ AG(5;F,22P) [i] based on
- linear OOA(2137, 42, F2, 5, 83) (dual of [(42, 5), 73, 84]-NRT-code), using algebraic-geometric NRT-code AG(5;F,21P) with degPÂ =Â 6 [i] based on function field F/F2 with g(F) = 54 and N(F) ≥ 42, using an explicitly constructive algebraic function field [i]
- linear OOA(2131, 42, F2, 5, 77) (dual of [(42, 5), 79, 78]-NRT-code), using algebraic-geometric NRT-code AG(5;F,22P) with degPÂ =Â 6 [i] based on function field F/F2 with g(F) = 54 and N(F) ≥ 42 (see above)
- linear OOA(24, 2, F2, 5, 4) (dual of [(2, 5), 6, 5]-NRT-code), using
- Reed–Solomon NRT-code RS(5;6,2) [i]
- construction X applied to AG(5;F,21P) ⊂ AG(5;F,22P) [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.