Information on Result #659329
Linear OA(4186, 390, F4, 56) (dual of [390, 204, 57]-code), using trace code based on linear OA(6462, 130, F64, 56) (dual of [130, 68, 57]-code), using
- construction X applied to AG(F,70P) ⊂ AG(F,72P) [i] based on
- linear OA(6461, 127, F64, 56) (dual of [127, 66, 57]-code), using algebraic-geometric code AG(F,70P) [i] based on function field F/F64 with g(F) = 5 and N(F) ≥ 128, using
- linear OA(6459, 127, F64, 54) (dual of [127, 68, 55]-code), using algebraic-geometric code AG(F,72P) [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(4187, 391, F4, 56) (dual of [391, 204, 57]-code) | [i] | Code Embedding in Larger Space | |
| 2 | Linear OA(4188, 392, F4, 56) (dual of [392, 204, 57]-code) | [i] | ||
| 3 | Linear OOA(4186, 195, F4, 2, 56) (dual of [(195, 2), 204, 57]-NRT-code) | [i] | OOA Folding | |