Information on Result #1033547
Linear OOA(4132, 71, F4, 3, 73) (dual of [(71, 3), 81, 74]-NRT-code), using construction X applied to AG(3;F,91P) ⊂ AG(3;F,113P) based on
- linear OOA(4106, 55, F4, 3, 73) (dual of [(55, 3), 59, 74]-NRT-code), using algebraic-geometric NRT-code AG(3;F,91P) [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(484, 55, F4, 3, 51) (dual of [(55, 3), 81, 52]-NRT-code), using algebraic-geometric NRT-code AG(3;F,113P) [i] based on function field F/F4 with g(F) = 33 and N(F) ≥ 56 (see above)
- linear OOA(426, 16, F4, 3, 21) (dual of [(16, 3), 22, 22]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(426, 17, F4, 3, 21) (dual of [(17, 3), 25, 22]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(3;F,29P) [i] based on function field F/F4 with g(F) = 5 and N(F) ≥ 17, using
- discarding factors / shortening the dual code based on linear OOA(426, 17, F4, 3, 21) (dual of [(17, 3), 25, 22]-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.