Information on Result #659335
Linear OA(4189, 390, F4, 57) (dual of [390, 201, 58]-code), using trace code based on linear OA(6463, 130, F64, 57) (dual of [130, 67, 58]-code), using
- construction X applied to AG(F,69P) ⊂ AG(F,71P) [i] based on
- linear OA(6462, 127, F64, 57) (dual of [127, 65, 58]-code), using algebraic-geometric code AG(F,69P) [i] based on function field F/F64 with g(F) = 5 and N(F) ≥ 128, using
- linear OA(6460, 127, F64, 55) (dual of [127, 67, 56]-code), using algebraic-geometric code AG(F,71P) [i] based on function field F/F64 with g(F) = 5 and N(F) ≥ 128 (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
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 OA(4190, 391, F4, 57) (dual of [391, 201, 58]-code) | [i] | Code Embedding in Larger Space | |
| 2 | Linear OOA(4189, 195, F4, 2, 57) (dual of [(195, 2), 201, 58]-NRT-code) | [i] | OOA Folding | |