Information on Result #918948
Linear OOA(456, 43, F4, 2, 28) (dual of [(43, 2), 30, 29]-NRT-code), using construction X applied to AG(2;F,29P) ⊂ AG(2;F,42P) based on
- linear OOA(441, 29, F4, 2, 28) (dual of [(29, 2), 17, 29]-NRT-code), using algebraic-geometric NRT-code AG(2;F,29P) [i] based on function field F/F4 with g(F) = 13 and N(F) ≥ 30, using
- F4 from the tower of function fields by GarcÃa and Stichtenoth over F4 [i]
- linear OOA(428, 29, F4, 2, 15) (dual of [(29, 2), 30, 16]-NRT-code), using algebraic-geometric NRT-code AG(2;F,42P) [i] based on function field F/F4 with g(F) = 13 and N(F) ≥ 30 (see above)
- linear OOA(415, 14, F4, 2, 12) (dual of [(14, 2), 13, 13]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(2;F,15P) [i] based on function field F/F4 with g(F) = 3 and N(F) ≥ 14, 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.