Information on Result #653033
Linear OA(648, 82, F64, 6) (dual of [82, 74, 7]-code), using construction X applied to AG(F,72P) ⊂ AG(F,74P) based on
- linear OA(647, 79, F64, 6) (dual of [79, 72, 7]-code), using algebraic-geometric code AG(F,72P) [i] based on function field F/F64 with g(F) = 1 and N(F) ≥ 80, using
- linear OA(645, 79, F64, 4) (dual of [79, 74, 5]-code), using algebraic-geometric code AG(F,74P) [i] based on function field F/F64 with g(F) = 1 and N(F) ≥ 80 (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(6433, 4179, F64, 13) (dual of [4179, 4146, 14]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(6445, 262227, F64, 13) (dual of [262227, 262182, 14]-code) | [i] | ||
| 3 | Linear OA(6431, 4178, F64, 12) (dual of [4178, 4147, 13]-code) | [i] | ||
| 4 | Linear OA(6442, 262226, F64, 12) (dual of [262226, 262184, 13]-code) | [i] | ||
| 5 | Linear OA(6433, 4180, F64, 13) (dual of [4180, 4147, 14]-code) | [i] | ||
| 6 | Linear OA(6445, 262229, F64, 13) (dual of [262229, 262184, 14]-code) | [i] | ||
| 7 | Linear OA(6431, 4180, F64, 12) (dual of [4180, 4149, 13]-code) | [i] | ||
| 8 | Linear OA(6442, 262229, F64, 12) (dual of [262229, 262187, 13]-code) | [i] | ||