Information on Result #1031800
Linear OOA(494, 37, F4, 3, 69) (dual of [(37, 3), 17, 70]-NRT-code), using construction X applied to AG(3;F,17P) ⊂ AG(3;F,29P) based on
- linear OOA(482, 29, F4, 3, 69) (dual of [(29, 3), 5, 70]-NRT-code), using algebraic-geometric NRT-code AG(3;F,17P) [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(470, 29, F4, 3, 57) (dual of [(29, 3), 17, 58]-NRT-code), using algebraic-geometric NRT-code AG(3;F,29P) [i] based on function field F/F4 with g(F) = 13 and N(F) ≥ 30 (see above)
- linear OOA(412, 8, F4, 3, 11) (dual of [(8, 3), 12, 12]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(412, 9, F4, 3, 11) (dual of [(9, 3), 15, 12]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(3;F,15P) [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(3;F,15P) [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(412, 9, F4, 3, 11) (dual of [(9, 3), 15, 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.