Information on Result #1031905
Linear OOA(486, 38, F4, 3, 59) (dual of [(38, 3), 28, 60]-NRT-code), using construction X applied to AG(3;F,27P) ⊂ AG(3;F,41P) based on
- linear OOA(472, 29, F4, 3, 59) (dual of [(29, 3), 15, 60]-NRT-code), using algebraic-geometric NRT-code AG(3;F,27P) [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(458, 29, F4, 3, 45) (dual of [(29, 3), 29, 46]-NRT-code), using algebraic-geometric NRT-code AG(3;F,41P) [i] based on function field F/F4 with g(F) = 13 and N(F) ≥ 30 (see above)
- linear OOA(414, 9, F4, 3, 13) (dual of [(9, 3), 13, 14]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(3;F,13P) [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,13P) [i] based on function field F/F4 with g(F) = 1 and N(F) ≥ 9, 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.