Information on Result #1032962
Linear OOA(4149, 62, F4, 3, 105) (dual of [(62, 3), 37, 106]-NRT-code), using construction X applied to AG(3;F,59P) ⊂ AG(3;F,70P) based on
- linear OOA(4138, 55, F4, 3, 105) (dual of [(55, 3), 27, 106]-NRT-code), using algebraic-geometric NRT-code AG(3;F,59P) [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(4127, 55, F4, 3, 94) (dual of [(55, 3), 38, 95]-NRT-code), using algebraic-geometric NRT-code AG(3;F,70P) [i] based on function field F/F4 with g(F) = 33 and N(F) ≥ 56 (see above)
- linear OOA(411, 7, F4, 3, 10) (dual of [(7, 3), 10, 11]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(411, 9, F4, 3, 10) (dual of [(9, 3), 16, 11]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(3;F,16P) [i] based on function field F/F4 with g(F) = 1 and N(F) ≥ 9, using
- the Hermitian function field over F4 [i]
- extended algebraic-geometric NRT-code AGe(3;F,16P) [i] based on function field F/F4 with g(F) = 1 and N(F) ≥ 9, using
- discarding factors / shortening the dual code based on linear OOA(411, 9, F4, 3, 10) (dual of [(9, 3), 16, 11]-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.