Information on Result #1802166
Digital (53, 89, 1089)-net over F16, using embedding of OOA with Gilbert–Varšamov bound based on linear OA(1689, 1089, F16, 36) (dual of [1089, 1000, 37]-code), using
- 62 step Varšamov–Edel lengthening with (ri) = (1, 61 times 0) [i] based on linear OA(1688, 1026, F16, 36) (dual of [1026, 938, 37]-code), using
- trace code [i] based on linear OA(25644, 513, F256, 36) (dual of [513, 469, 37]-code), using
- extended algebraic-geometric code AGe(F,476P) [i] based on function field F/F256 with g(F) = 8 and N(F) ≥ 513, using
- K1,1 from the tower of function fields by Niederreiter and Xing based on the tower by GarcÃa and Stichtenoth over F256 [i]
- extended algebraic-geometric code AGe(F,476P) [i] based on function field F/F256 with g(F) = 8 and N(F) ≥ 513, using
- trace code [i] based on linear OA(25644, 513, F256, 36) (dual of [513, 469, 37]-code), using
Mode: Linear.
Optimality
Show details for fixed k and m, k and s, k and t, m and s, m and t, t and s.
Other Results with Identical Parameters
None.
Depending Results
None.