Information on Result #2916594
Linear OOA(2256, 64, F2, 6, 130) (dual of [(64, 6), 128, 131]-NRT-code), using strength reduction based on linear OOA(2256, 64, F2, 6, 131) (dual of [(64, 6), 128, 132]-NRT-code), using
- construction X applied to AG(6;F,78P) ⊂ AG(6;F,99P) [i] based on
- linear OOA(2200, 48, F2, 6, 131) (dual of [(48, 6), 88, 132]-NRT-code), using algebraic-geometric NRT-code AG(6;F,78P) 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(2158, 48, F2, 6, 89) (dual of [(48, 6), 130, 90]-NRT-code), using algebraic-geometric NRT-code AG(6;F,99P) with degPÂ =Â 2 [i] based on function field F/F2 with g(F) = 69 and N(F) ≥ 48 (see above)
- linear OOA(256, 16, F2, 6, 41) (dual of [(16, 6), 40, 42]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(256, 17, F2, 6, 41) (dual of [(17, 6), 46, 42]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(6;F,60P) [i] based on function field F/F2 with g(F) = 15 and N(F) ≥ 17, using
- discarding factors / shortening the dual code based on linear OOA(256, 17, F2, 6, 41) (dual of [(17, 6), 46, 42]-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.