Information on Result #1033675
Linear OOA(4144, 73, F4, 3, 81) (dual of [(73, 3), 75, 82]-NRT-code), using construction X applied to AG(3;F,83P) ⊂ AG(3;F,107P) based on
- linear OOA(4114, 55, F4, 3, 81) (dual of [(55, 3), 51, 82]-NRT-code), using algebraic-geometric NRT-code AG(3;F,83P) [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(490, 55, F4, 3, 57) (dual of [(55, 3), 75, 58]-NRT-code), using algebraic-geometric NRT-code AG(3;F,107P) [i] based on function field F/F4 with g(F) = 33 and N(F) ≥ 56 (see above)
- linear OOA(430, 18, F4, 3, 23) (dual of [(18, 3), 24, 24]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(430, 21, F4, 3, 23) (dual of [(21, 3), 33, 24]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(3;F,39P) [i] based on function field F/F4 with g(F) = 7 and N(F) ≥ 21, using
- discarding factors / shortening the dual code based on linear OOA(430, 21, F4, 3, 23) (dual of [(21, 3), 33, 24]-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.