Information on Result #1042701
Linear OOA(8166, 116, F8, 3, 99) (dual of [(116, 3), 182, 100]-NRT-code), using construction X applied to AG(3;F,191P) ⊂ AG(3;F,219P) based on
- linear OOA(8136, 97, F8, 3, 99) (dual of [(97, 3), 155, 100]-NRT-code), using algebraic-geometric NRT-code AG(3;F,191P) [i] based on function field F/F8 with g(F) = 37 and N(F) ≥ 98, using
- linear OOA(8108, 97, F8, 3, 71) (dual of [(97, 3), 183, 72]-NRT-code), using algebraic-geometric NRT-code AG(3;F,219P) [i] based on function field F/F8 with g(F) = 37 and N(F) ≥ 98 (see above)
- linear OOA(830, 19, F8, 3, 27) (dual of [(19, 3), 27, 28]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(830, 24, F8, 3, 27) (dual of [(24, 3), 42, 28]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(3;F,44P) [i] based on function field F/F8 with g(F) = 3 and N(F) ≥ 24, using
- the Klein quartic over F8 [i]
- extended algebraic-geometric NRT-code AGe(3;F,44P) [i] based on function field F/F8 with g(F) = 3 and N(F) ≥ 24, using
- discarding factors / shortening the dual code based on linear OOA(830, 24, F8, 3, 27) (dual of [(24, 3), 42, 28]-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.