Information on Result #1037851
Linear OOA(4234, 153, F4, 3, 88) (dual of [(153, 3), 225, 89]-NRT-code), using construction X applied to AG(3;F,298P) ⊂ AG(3;F,330P) based on
- linear OOA(4193, 129, F4, 3, 88) (dual of [(129, 3), 194, 89]-NRT-code), using algebraic-geometric NRT-code AG(3;F,298P) [i] based on function field F/F4 with g(F) = 105 and N(F) ≥ 130, using
- T7 from the second tower of function fields by GarcÃa and Stichtenoth over F4 [i]
- linear OOA(4161, 129, F4, 3, 56) (dual of [(129, 3), 226, 57]-NRT-code), using algebraic-geometric NRT-code AG(3;F,330P) [i] based on function field F/F4 with g(F) = 105 and N(F) ≥ 130 (see above)
- linear OOA(441, 24, F4, 3, 31) (dual of [(24, 3), 31, 32]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(441, 26, F4, 3, 31) (dual of [(26, 3), 37, 32]-NRT-code), using
- algebraic-geometric NRT-code AG(3;F,46P) [i] based on function field F/F4 with g(F) = 10 and N(F) ≥ 27, using
- discarding factors / shortening the dual code based on linear OOA(441, 26, F4, 3, 31) (dual of [(26, 3), 37, 32]-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.