Information on Result #2845332
Linear OOA(2218, 64, F2, 5, 100) (dual of [(64, 5), 102, 101]-NRT-code), using strength reduction based on linear OOA(2218, 64, F2, 5, 101) (dual of [(64, 5), 102, 102]-NRT-code), using
- construction X applied to AG(5;F,69P) ⊂ AG(5;F,86P) [i] based on
- linear OOA(2170, 48, F2, 5, 101) (dual of [(48, 5), 70, 102]-NRT-code), using algebraic-geometric NRT-code AG(5;F,69P) 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(2136, 48, F2, 5, 67) (dual of [(48, 5), 104, 68]-NRT-code), using algebraic-geometric NRT-code AG(5;F,86P) with degPÂ =Â 2 [i] based on function field F/F2 with g(F) = 69 and N(F) ≥ 48 (see above)
- linear OOA(248, 16, F2, 5, 33) (dual of [(16, 5), 32, 34]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(248, 17, F2, 5, 33) (dual of [(17, 5), 37, 34]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(5;F,51P) [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(248, 17, F2, 5, 33) (dual of [(17, 5), 37, 34]-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.