Information on Result #636177
Linear OA(4215, 344, F4, 81) (dual of [344, 129, 82]-code), using concatenation of two codes based on
- linear OA(6443, 86, F64, 40) (dual of [86, 43, 41]-code), using
- discarding factors / shortening the dual code based on linear OA(6443, 103, F64, 40) (dual of [103, 60, 41]-code), using
- algebraic-geometric code AG(F,62P) [i] based on function field F/F64 with g(F) = 3 and N(F) ≥ 104, using
- discarding factors / shortening the dual code based on linear OA(6443, 103, F64, 40) (dual of [103, 60, 41]-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(4214, 343, F4, 80) (dual of [343, 129, 81]-code) | [i] | Truncation | |
| 2 | Linear OOA(4215, 172, F4, 2, 81) (dual of [(172, 2), 129, 82]-NRT-code) | [i] | OOA Folding | |
| 3 | Linear OOA(4215, 114, F4, 3, 81) (dual of [(114, 3), 127, 82]-NRT-code) | [i] | ||