Information on Result #2635499
Linear OOA(4216, 76, F4, 3, 163) (dual of [(76, 3), 12, 164]-NRT-code), using strength reduction based on linear OOA(4216, 76, F4, 3, 165) (dual of [(76, 3), 12, 166]-NRT-code), using
- juxtaposition [i] based on
- linear OOA(448, 20, F4, 3, 41) (dual of [(20, 3), 12, 42]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(448, 21, F4, 3, 41) (dual of [(21, 3), 15, 42]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(3;F,21P) [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(448, 21, F4, 3, 41) (dual of [(21, 3), 15, 42]-NRT-code), using
- linear OOA(4156, 56, F4, 3, 123) (dual of [(56, 3), 12, 124]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(3;F,44P) [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]
- extended algebraic-geometric NRT-code AGe(3;F,44P) [i] based on function field F/F4 with g(F) = 33 and N(F) ≥ 56, using
- linear OOA(448, 20, F4, 3, 41) (dual of [(20, 3), 12, 42]-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.