Information on Result #636009
Linear OA(4194, 308, F4, 77) (dual of [308, 114, 78]-code), using concatenation of two codes based on
- linear OA(6439, 77, F64, 38) (dual of [77, 38, 39]-code), using
- discarding factors / shortening the dual code based on linear OA(6439, 79, F64, 38) (dual of [79, 40, 39]-code), using
- algebraic-geometric code AG(F,40P) [i] based on function field F/F64 with g(F) = 1 and N(F) ≥ 80, using
- discarding factors / shortening the dual code based on linear OA(6439, 79, F64, 38) (dual of [79, 40, 39]-code), using
- linear OA(41, 4, F4, 1) (dual of [4, 3, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(41, s, F4, 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(4193, 307, F4, 76) (dual of [307, 114, 77]-code) | [i] | Truncation | |
| 2 | Linear OOA(4194, 154, F4, 2, 77) (dual of [(154, 2), 114, 78]-NRT-code) | [i] | OOA Folding | |
| 3 | Linear OOA(4194, 102, F4, 3, 77) (dual of [(102, 3), 112, 78]-NRT-code) | [i] | ||