Information on Result #1093421
Linear OOA(3125, 42, F3, 4, 87) (dual of [(42, 4), 43, 88]-NRT-code), using construction X applied to AG(4;F,28P) ⊂ AG(4;F,34P) based on
- linear OOA(3113, 36, F3, 4, 87) (dual of [(36, 4), 31, 88]-NRT-code), using algebraic-geometric NRT-code AG(4;F,28P) 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(3101, 36, F3, 4, 75) (dual of [(36, 4), 43, 76]-NRT-code), using algebraic-geometric NRT-code AG(4;F,34P) with degPÂ =Â 2 [i] based on function field F/F3 with g(F) = 26 and N(F) ≥ 36 (see above)
- linear OOA(312, 6, F3, 4, 11) (dual of [(6, 4), 12, 12]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(312, 7, F3, 4, 11) (dual of [(7, 4), 16, 12]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(4;F,16P) [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(312, 7, F3, 4, 11) (dual of [(7, 4), 16, 12]-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.