Information on Result #2928493
Linear OOA(2252, 66, F2, 6, 118) (dual of [(66, 6), 144, 119]-NRT-code), using 21 times duplication based on linear OOA(2251, 66, F2, 6, 118) (dual of [(66, 6), 145, 119]-NRT-code), using
- construction X applied to AG(6;F,84P) ⊂ AG(6;F,107P) [i] based on
- linear OOA(2188, 48, F2, 6, 119) (dual of [(48, 6), 100, 120]-NRT-code), using algebraic-geometric NRT-code AG(6;F,84P) 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(2142, 48, F2, 6, 73) (dual of [(48, 6), 146, 74]-NRT-code), using algebraic-geometric NRT-code AG(6;F,107P) with degPÂ =Â 2 [i] based on function field F/F2 with g(F) = 69 and N(F) ≥ 48 (see above)
- linear OOA(263, 18, F2, 6, 44) (dual of [(18, 6), 45, 45]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(263, 19, F2, 6, 44) (dual of [(19, 6), 51, 45]-NRT-code), using
- algebraic-geometric NRT-code AG(6;F,69P) [i] based on function field F/F2 with g(F) = 19 and N(F) ≥ 20, using
- discarding factors / shortening the dual code based on linear OOA(263, 19, F2, 6, 44) (dual of [(19, 6), 51, 45]-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.