Information on Result #1036080
Linear OOA(4172, 114, F4, 3, 81) (dual of [(114, 3), 170, 82]-NRT-code), using construction X applied to AG(3;F,227P) ⊂ AG(3;F,243P) based on
- linear OOA(4154, 103, F4, 3, 81) (dual of [(103, 3), 155, 82]-NRT-code), using algebraic-geometric NRT-code AG(3;F,227P) [i] based on function field F/F4 with g(F) = 73 and N(F) ≥ 104, using
- F6 from the tower of function fields by GarcÃa and Stichtenoth over F4 [i]
- linear OOA(4138, 103, F4, 3, 65) (dual of [(103, 3), 171, 66]-NRT-code), using algebraic-geometric NRT-code AG(3;F,243P) [i] based on function field F/F4 with g(F) = 73 and N(F) ≥ 104 (see above)
- linear OOA(418, 11, F4, 3, 15) (dual of [(11, 3), 15, 16]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(418, 14, F4, 3, 15) (dual of [(14, 3), 24, 16]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(3;F,26P) [i] based on function field F/F4 with g(F) = 3 and N(F) ≥ 14, using
- discarding factors / shortening the dual code based on linear OOA(418, 14, F4, 3, 15) (dual of [(14, 3), 24, 16]-NRT-code), 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.