Information on Result #1033927
Linear OOA(4179, 77, F4, 3, 109) (dual of [(77, 3), 52, 110]-NRT-code), using construction X applied to AG(3;F,55P) ⊂ AG(3;F,84P) based on
- linear OOA(4142, 55, F4, 3, 109) (dual of [(55, 3), 23, 110]-NRT-code), using algebraic-geometric NRT-code AG(3;F,55P) [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(4113, 55, F4, 3, 80) (dual of [(55, 3), 52, 81]-NRT-code), using algebraic-geometric NRT-code AG(3;F,84P) [i] based on function field F/F4 with g(F) = 33 and N(F) ≥ 56 (see above)
- linear OOA(437, 22, F4, 3, 28) (dual of [(22, 3), 29, 29]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(3;F,37P) [i] based on function field F/F4 with g(F) = 9 and N(F) ≥ 22, 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.