Information on Result #1127290
Linear OOA(2148, 46, F2, 5, 82) (dual of [(46, 5), 82, 83]-NRT-code), using construction X applied to AG(5;F,21P) ⊂ AG(5;F,23P) based on
- linear OOA(2137, 42, F2, 5, 83) (dual of [(42, 5), 73, 84]-NRT-code), using algebraic-geometric NRT-code AG(5;F,21P) with degPÂ =Â 6 [i] based on function field F/F2 with g(F) = 54 and N(F) ≥ 42, using an explicitly constructive algebraic function field [i]
- linear OOA(2125, 42, F2, 5, 71) (dual of [(42, 5), 85, 72]-NRT-code), using algebraic-geometric NRT-code AG(5;F,23P) with degPÂ =Â 6 [i] based on function field F/F2 with g(F) = 54 and N(F) ≥ 42 (see above)
- linear OOA(211, 4, F2, 5, 10) (dual of [(4, 5), 9, 11]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(211, 5, F2, 5, 10) (dual of [(5, 5), 14, 11]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(5;F,14P) [i] based on function field F/F2 with g(F) = 1 and N(F) ≥ 5, using
- discarding factors / shortening the dual code based on linear OOA(211, 5, F2, 5, 10) (dual of [(5, 5), 14, 11]-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.