Information on Result #1303749
Linear OA(16103, 1028, F16, 43) (dual of [1028, 925, 44]-code), using construction X with Varšamov bound based on
- linear OA(16102, 1026, F16, 43) (dual of [1026, 924, 44]-code), using
- trace code [i] based on linear OA(25651, 513, F256, 43) (dual of [513, 462, 44]-code), using
- extended algebraic-geometric code AGe(F,469P) [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,469P) [i] based on function field F/F256 with g(F) = 8 and N(F) ≥ 513, using
- trace code [i] based on linear OA(25651, 513, F256, 43) (dual of [513, 462, 44]-code), using
- linear OA(16102, 1027, F16, 42) (dual of [1027, 925, 43]-code), using Gilbert–Varšamov bound and bm = 16102 > Vbs−1(k−1) = 63 358321 640224 164675 550216 339987 530734 880394 728964 660613 480176 438115 353142 362183 677960 754240 100434 615963 037779 926222 726016 [i]
- linear OA(160, 1, F16, 0) (dual of [1, 1, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(160, s, F16, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
Mode: 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.