Information on Result #1093065
Linear OOA(2175, 61, F2, 4, 74) (dual of [(61, 4), 69, 75]-NRT-code), using construction X applied to AG(4;F,58P) ⊂ AG(4;F,69P) based on
- linear OOA(2144, 48, F2, 4, 75) (dual of [(48, 4), 48, 76]-NRT-code), using algebraic-geometric NRT-code AG(4;F,58P) 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(2122, 48, F2, 4, 53) (dual of [(48, 4), 70, 54]-NRT-code), using algebraic-geometric NRT-code AG(4;F,69P) with degPÂ =Â 2 [i] based on function field F/F2 with g(F) = 69 and N(F) ≥ 48 (see above)
- linear OOA(231, 13, F2, 4, 20) (dual of [(13, 4), 21, 21]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(231, 14, F2, 4, 20) (dual of [(14, 4), 25, 21]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(4;F,35P) [i] based on function field F/F2 with g(F) = 11 and N(F) ≥ 14, using
- discarding factors / shortening the dual code based on linear OOA(231, 14, F2, 4, 20) (dual of [(14, 4), 25, 21]-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.