Information on Result #2637727
Linear OOA(4244, 106, F4, 3, 166) (dual of [(106, 3), 74, 167]-NRT-code), using strength reduction based on linear OOA(4244, 106, F4, 3, 167) (dual of [(106, 3), 74, 168]-NRT-code), using
- construction X applied to AG(3;F,141P) ⊂ AG(3;F,146P) [i] based on
- linear OOA(4240, 103, F4, 3, 167) (dual of [(103, 3), 69, 168]-NRT-code), using algebraic-geometric NRT-code AG(3;F,141P) [i] based on function field F/F4 with g(F) = 73 and N(F) ≥ 104, using
- F6 from the tower of function fields by GarcÃa and Stichtenoth over F4 [i]
- linear OOA(4235, 103, F4, 3, 162) (dual of [(103, 3), 74, 163]-NRT-code), using algebraic-geometric NRT-code AG(3;F,146P) [i] based on function field F/F4 with g(F) = 73 and N(F) ≥ 104 (see above)
- linear OOA(44, 3, F4, 3, 4) (dual of [(3, 3), 5, 5]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(44, 4, F4, 3, 4) (dual of [(4, 3), 8, 5]-NRT-code), using
- Reed–Solomon NRT-code RS(3;8,4) [i]
- discarding factors / shortening the dual code based on linear OOA(44, 4, F4, 3, 4) (dual of [(4, 3), 8, 5]-NRT-code), using
- linear OOA(4240, 103, F4, 3, 167) (dual of [(103, 3), 69, 168]-NRT-code), using algebraic-geometric NRT-code AG(3;F,141P) [i] based on function field F/F4 with g(F) = 73 and N(F) ≥ 104, 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.