Information on Result #1033285
Linear OOA(4132, 68, F4, 3, 78) (dual of [(68, 3), 72, 79]-NRT-code), using construction X applied to AG(3;F,86P) ⊂ AG(3;F,105P) based on
- linear OOA(4111, 55, F4, 3, 78) (dual of [(55, 3), 54, 79]-NRT-code), using algebraic-geometric NRT-code AG(3;F,86P) [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(492, 55, F4, 3, 59) (dual of [(55, 3), 73, 60]-NRT-code), using algebraic-geometric NRT-code AG(3;F,105P) [i] based on function field F/F4 with g(F) = 33 and N(F) ≥ 56 (see above)
- linear OOA(421, 13, F4, 3, 18) (dual of [(13, 3), 18, 19]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(421, 14, F4, 3, 18) (dual of [(14, 3), 21, 19]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(3;F,23P) [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(421, 14, F4, 3, 18) (dual of [(14, 3), 21, 19]-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.