Information on Result #2682896
Linear OOA(3245, 175, F3, 3, 84) (dual of [(175, 3), 280, 85]-NRT-code), using 1 times NRT-code embedding in larger space based on linear OOA(3242, 174, F3, 3, 84) (dual of [(174, 3), 280, 85]-NRT-code), using
- trace code [i] based on linear OOA(9121, 87, F9, 3, 84) (dual of [(87, 3), 140, 85]-NRT-code), using
- construction X applied to AG(3;F,146P) ⊂ AG(3;F,162P) [i] based on
- linear OOA(9106, 77, F9, 3, 84) (dual of [(77, 3), 125, 85]-NRT-code), using algebraic-geometric NRT-code AG(3;F,146P) [i] based on function field F/F9 with g(F) = 22 and N(F) ≥ 78, using
- F3 from the tower of function fields by GarcÃa and Stichtenoth over F9 [i]
- linear OOA(990, 77, F9, 3, 68) (dual of [(77, 3), 141, 69]-NRT-code), using algebraic-geometric NRT-code AG(3;F,162P) [i] based on function field F/F9 with g(F) = 22 and N(F) ≥ 78 (see above)
- linear OOA(915, 10, F9, 3, 15) (dual of [(10, 3), 15, 16]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(3;15,9) [i]
- linear OOA(9106, 77, F9, 3, 84) (dual of [(77, 3), 125, 85]-NRT-code), using algebraic-geometric NRT-code AG(3;F,146P) [i] based on function field F/F9 with g(F) = 22 and N(F) ≥ 78, using
- construction X applied to AG(3;F,146P) ⊂ AG(3;F,162P) [i] based on
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.