Information on Result #1033722
Linear OOA(4118, 72, F4, 3, 57) (dual of [(72, 3), 98, 58]-NRT-code), using construction X applied to AG(3;F,107P) ⊂ AG(3;F,131P) based on
- linear OOA(490, 55, F4, 3, 57) (dual of [(55, 3), 75, 58]-NRT-code), using algebraic-geometric NRT-code AG(3;F,107P) [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(466, 55, F4, 3, 33) (dual of [(55, 3), 99, 34]-NRT-code), using algebraic-geometric NRT-code AG(3;F,131P) [i] based on function field F/F4 with g(F) = 33 and N(F) ≥ 56 (see above)
- linear OOA(428, 17, F4, 3, 23) (dual of [(17, 3), 23, 24]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(3;F,27P) [i] based on function field F/F4 with g(F) = 5 and N(F) ≥ 17, 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.