Information on Result #918869
Linear OOA(441, 36, F4, 2, 21) (dual of [(36, 2), 31, 22]-NRT-code), using construction X applied to AG(2;F,36P) ⊂ AG(2;F,43P) based on
- linear OOA(434, 29, F4, 2, 21) (dual of [(29, 2), 24, 22]-NRT-code), using algebraic-geometric NRT-code AG(2;F,36P) [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(427, 29, F4, 2, 14) (dual of [(29, 2), 31, 15]-NRT-code), using algebraic-geometric NRT-code AG(2;F,43P) [i] based on function field F/F4 with g(F) = 13 and N(F) ≥ 30 (see above)
- linear OOA(47, 7, F4, 2, 6) (dual of [(7, 2), 7, 7]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(47, 9, F4, 2, 6) (dual of [(9, 2), 11, 7]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(2;F,11P) [i] based on function field F/F4 with g(F) = 1 and N(F) ≥ 9, using
- the Hermitian function field over F4 [i]
- extended algebraic-geometric NRT-code AGe(2;F,11P) [i] based on function field F/F4 with g(F) = 1 and N(F) ≥ 9, using
- discarding factors / shortening the dual code based on linear OOA(47, 9, F4, 2, 6) (dual of [(9, 2), 11, 7]-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.