Information on Result #1033206
Linear OOA(4221, 79, F4, 3, 164) (dual of [(79, 3), 16, 165]-NRT-code), using construction X applied to AG(3;F,0P) ⊂ AG(3;F,48P) based on
- linear OOA(4164, 55, F4, 3, 164) (dual of [(55, 3), 1, 165]-NRT-code), using algebraic-geometric NRT-code AG(3;F,0P) [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]
- linear OOA(4149, 55, F4, 3, 116) (dual of [(55, 3), 16, 117]-NRT-code), using algebraic-geometric NRT-code AG(3;F,48P) [i] based on function field F/F4 with g(F) = 33 and N(F) ≥ 56 (see above)
- linear OOA(457, 24, F4, 3, 47) (dual of [(24, 3), 15, 48]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(457, 26, F4, 3, 47) (dual of [(26, 3), 21, 48]-NRT-code), using
- algebraic-geometric NRT-code AG(3;F,30P) [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(457, 26, F4, 3, 47) (dual of [(26, 3), 21, 48]-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.