Information on Result #918933
Linear OOA(459, 42, F4, 2, 32) (dual of [(42, 2), 25, 33]-NRT-code), using construction X applied to AG(2;F,25P) ⊂ AG(2;F,37P) based on
- linear OOA(445, 29, F4, 2, 32) (dual of [(29, 2), 13, 33]-NRT-code), using algebraic-geometric NRT-code AG(2;F,25P) [i] based on function field F/F4 with g(F) = 13 and N(F) ≥ 30, using
- F4 from the tower of function fields by GarcÃa and Stichtenoth over F4 [i]
- linear OOA(433, 29, F4, 2, 20) (dual of [(29, 2), 25, 21]-NRT-code), using algebraic-geometric NRT-code AG(2;F,37P) [i] based on function field F/F4 with g(F) = 13 and N(F) ≥ 30 (see above)
- linear OOA(414, 13, F4, 2, 11) (dual of [(13, 2), 12, 12]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(414, 14, F4, 2, 11) (dual of [(14, 2), 14, 12]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(2;F,16P) [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(414, 14, F4, 2, 11) (dual of [(14, 2), 14, 12]-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.