Information on Result #635693
Linear OA(4165, 288, F4, 61) (dual of [288, 123, 62]-code), using concatenation of two codes based on
- linear OA(6431, 72, F64, 30) (dual of [72, 41, 31]-code), using
- discarding factors / shortening the dual code based on linear OA(6431, 79, F64, 30) (dual of [79, 48, 31]-code), using
- algebraic-geometric code AG(F,48P) [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(6431, 79, F64, 30) (dual of [79, 48, 31]-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(4164, 287, F4, 60) (dual of [287, 123, 61]-code) | [i] | Truncation | |
| 2 | Linear OOA(4165, 144, F4, 2, 61) (dual of [(144, 2), 123, 62]-NRT-code) | [i] | OOA Folding | |
| 3 | Linear OOA(4165, 96, F4, 3, 61) (dual of [(96, 3), 123, 62]-NRT-code) | [i] | ||