Information on Result #938076
Linear OOA(5112, 61, F5, 2, 82) (dual of [(61, 2), 10, 83]-NRT-code), using construction X applied to AG(2;F,0P) ⊂ AG(2;F,13P) based on
- linear OOA(583, 42, F5, 2, 83) (dual of [(42, 2), 1, 84]-NRT-code), using algebraic-geometric NRT-code AG(2;F,0P) with degPÂ =Â 2 [i] based on function field F/F5 with g(F) = 17 and N(F) ≥ 42, using an explicitly constructive algebraic function field [i]
- linear OOA(574, 42, F5, 2, 57) (dual of [(42, 2), 10, 58]-NRT-code), using algebraic-geometric NRT-code AG(2;F,13P) with degPÂ =Â 2 [i] based on function field F/F5 with g(F) = 17 and N(F) ≥ 42 (see above)
- linear OOA(529, 19, F5, 2, 24) (dual of [(19, 2), 9, 25]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(529, 20, F5, 2, 24) (dual of [(20, 2), 11, 25]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(2;F,15P) [i] based on function field F/F5 with g(F) = 5 and N(F) ≥ 20, using
- discarding factors / shortening the dual code based on linear OOA(529, 20, F5, 2, 24) (dual of [(20, 2), 11, 25]-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.