Information on Result #1036624
Linear OOA(4260, 147, F4, 3, 105) (dual of [(147, 3), 181, 106]-NRT-code), using construction X applied to AG(3;F,203P) ⊂ AG(3;F,253P) based on
- linear OOA(4178, 103, F4, 3, 105) (dual of [(103, 3), 131, 106]-NRT-code), using algebraic-geometric NRT-code AG(3;F,203P) [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(4128, 103, F4, 3, 55) (dual of [(103, 3), 181, 56]-NRT-code), using algebraic-geometric NRT-code AG(3;F,253P) [i] based on function field F/F4 with g(F) = 73 and N(F) ≥ 104 (see above)
- linear OOA(482, 44, F4, 3, 49) (dual of [(44, 3), 50, 50]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(482, 55, F4, 3, 49) (dual of [(55, 3), 83, 50]-NRT-code), using
- algebraic-geometric NRT-code AG(3;F,115P) [i] based on function field F/F4 with g(F) = 33 and N(F) ≥ 56, using
- F5 from the tower of function fields by GarcÃa and Stichtenoth over F4 [i]
- algebraic-geometric NRT-code AG(3;F,115P) [i] based on function field F/F4 with g(F) = 33 and N(F) ≥ 56, using
- discarding factors / shortening the dual code based on linear OOA(482, 55, F4, 3, 49) (dual of [(55, 3), 83, 50]-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.