Information on Result #2273966
Linear OA(4178, 538, F4, 51) (dual of [538, 360, 52]-code), using 1 times code embedding in larger space based on linear OA(4177, 537, F4, 51) (dual of [537, 360, 52]-code), using
- trace code [i] based on linear OA(6459, 179, F64, 51) (dual of [179, 120, 52]-code), using
- construction X applied to AG(F,124P) ⊂ AG(F,126P) [i] based on
- linear OA(6458, 176, F64, 51) (dual of [176, 118, 52]-code), using algebraic-geometric code AG(F,124P) [i] based on function field F/F64 with g(F) = 7 and N(F) ≥ 177, using
- linear OA(6456, 176, F64, 49) (dual of [176, 120, 50]-code), using algebraic-geometric code AG(F,126P) [i] based on function field F/F64 with g(F) = 7 and N(F) ≥ 177 (see above)
- linear OA(641, 3, F64, 1) (dual of [3, 2, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(641, s, F64, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- construction X applied to AG(F,124P) ⊂ AG(F,126P) [i] based on
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
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OOA(4178, 269, F4, 2, 51) (dual of [(269, 2), 360, 52]-NRT-code) | [i] | OOA Folding | |