Information on Result #635706
Linear OA(4179, 344, F4, 57) (dual of [344, 165, 58]-code), using concatenation of two codes based on
- linear OA(6431, 86, F64, 28) (dual of [86, 55, 29]-code), using
- discarding factors / shortening the dual code based on linear OA(6431, 103, F64, 28) (dual of [103, 72, 29]-code), using
- algebraic-geometric code AG(F,74P) [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(6431, 103, F64, 28) (dual of [103, 72, 29]-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(4178, 343, F4, 56) (dual of [343, 165, 57]-code) | [i] | Truncation | |
| 2 | Linear OOA(4179, 172, F4, 2, 57) (dual of [(172, 2), 165, 58]-NRT-code) | [i] | OOA Folding | |