Information on Result #1033572
Linear OOA(4230, 85, F4, 3, 161) (dual of [(85, 3), 25, 162]-NRT-code), using construction X applied to AG(3;F,0P) ⊂ AG(3;F,57P) based on
- linear OOA(4164, 55, F4, 3, 164) (dual of [(55, 3), 1, 165]-NRT-code), using algebraic-geometric NRT-code AG(3;F,0P) [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(4140, 55, F4, 3, 107) (dual of [(55, 3), 25, 108]-NRT-code), using algebraic-geometric NRT-code AG(3;F,57P) [i] based on function field F/F4 with g(F) = 33 and N(F) ≥ 56 (see above)
- linear OOA(466, 30, F4, 3, 53) (dual of [(30, 3), 24, 54]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(3;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]
- extended algebraic-geometric NRT-code AGe(3;F,36P) [i] based on function field F/F4 with g(F) = 13 and N(F) ≥ 30, 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.