Information on Result #1303836
Linear OA(16127, 1028, F16, 55) (dual of [1028, 901, 56]-code), using construction X with Varšamov bound based on
- linear OA(16126, 1026, F16, 55) (dual of [1026, 900, 56]-code), using
- trace code [i] based on linear OA(25663, 513, F256, 55) (dual of [513, 450, 56]-code), using
- extended algebraic-geometric code AGe(F,457P) [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,457P) [i] based on function field F/F256 with g(F) = 8 and N(F) ≥ 513, using
- trace code [i] based on linear OA(25663, 513, F256, 55) (dual of [513, 450, 56]-code), using
- linear OA(16126, 1027, F16, 54) (dual of [1027, 901, 55]-code), using Gilbert–Varšamov bound and bm = 16126 > Vbs−1(k−1) = 50 210790 698738 752486 317399 364186 941159 934807 596008 383676 989017 812331 765289 235222 248624 068592 070976 287060 287791 823211 609399 347728 684299 524596 332472 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
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(16128, 1040, F16, 55) (dual of [1040, 912, 56]-code) | [i] | Varšamov–Edel Lengthening | |
| 2 | Linear OA(16129, 1080, F16, 55) (dual of [1080, 951, 56]-code) | [i] | ||