Information on Result #2775811
Linear OOA(3225, 66, F3, 4, 138) (dual of [(66, 4), 39, 139]-NRT-code), using strength reduction based on linear OOA(3225, 66, F3, 4, 141) (dual of [(66, 4), 39, 142]-NRT-code), using
- construction X applied to AG(4;F,0P) ⊂ AG(4;F,32P) [i] based on
- linear OOA(3143, 36, F3, 4, 143) (dual of [(36, 4), 1, 144]-NRT-code), using algebraic-geometric NRT-code AG(4;F,0P) with degPÂ =Â 2 [i] based on function field F/F3 with g(F) = 26 and N(F) ≥ 36, using an explicitly constructive algebraic function field [i]
- linear OOA(3105, 36, F3, 4, 79) (dual of [(36, 4), 39, 80]-NRT-code), using algebraic-geometric NRT-code AG(4;F,32P) with degPÂ =Â 2 [i] based on function field F/F3 with g(F) = 26 and N(F) ≥ 36 (see above)
- linear OOA(382, 30, F3, 4, 61) (dual of [(30, 4), 38, 62]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(382, 31, F3, 4, 61) (dual of [(31, 4), 42, 62]-NRT-code), using
- algebraic-geometric NRT-code AG(4;F,62P) [i] based on function field F/F3 with g(F) = 21 and N(F) ≥ 32, using
- discarding factors / shortening the dual code based on linear OOA(382, 31, F3, 4, 61) (dual of [(31, 4), 42, 62]-NRT-code), 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.