Information on Result #1047367
Linear OOA(372, 41, F3, 3, 38) (dual of [(41, 3), 51, 39]-NRT-code), using construction X applied to AG(3;F,34P) ⊂ AG(3;F,38P) based on
- linear OOA(365, 36, F3, 3, 39) (dual of [(36, 3), 43, 40]-NRT-code), using algebraic-geometric NRT-code AG(3;F,34P) with degPÂ =Â 2 [i] based on function field F/F3 with g(F) = 26 and N(F) ≥ 36, using an explicitly constructive algebraic function field [i]
- linear OOA(357, 36, F3, 3, 31) (dual of [(36, 3), 51, 32]-NRT-code), using algebraic-geometric NRT-code AG(3;F,38P) with degPÂ =Â 2 [i] based on function field F/F3 with g(F) = 26 and N(F) ≥ 36 (see above)
- linear OOA(37, 5, F3, 3, 6) (dual of [(5, 3), 8, 7]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(37, 7, F3, 3, 6) (dual of [(7, 3), 14, 7]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(3;F,14P) [i] based on function field F/F3 with g(F) = 1 and N(F) ≥ 7, using
- discarding factors / shortening the dual code based on linear OOA(37, 7, F3, 3, 6) (dual of [(7, 3), 14, 7]-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.