Information on Result #653011
Linear OA(6419, 82, F64, 17) (dual of [82, 63, 18]-code), using construction X applied to AG(F,61P) ⊂ AG(F,63P) based on
- linear OA(6418, 79, F64, 17) (dual of [79, 61, 18]-code), using algebraic-geometric code AG(F,61P) [i] based on function field F/F64 with g(F) = 1 and N(F) ≥ 80, using
- linear OA(6416, 79, F64, 15) (dual of [79, 63, 16]-code), using algebraic-geometric code AG(F,63P) [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(838, 164, F8, 17) (dual of [164, 126, 18]-code) | [i] | Trace Code | |
| 2 | OA(3223, 82, S32, 17) | [i] | Discarding Parts of the Base for OAs | |
| 3 | Linear OA(6461, 259, F64, 35) (dual of [259, 198, 36]-code) | [i] | (u, u+v)-Construction | |
| 4 | Linear OA(6488, 4179, F64, 35) (dual of [4179, 4091, 36]-code) | [i] | ||
| 5 | Linear OA(6460, 259, F64, 34) (dual of [259, 199, 35]-code) | [i] | ||
| 6 | Linear OA(6486, 4178, F64, 34) (dual of [4178, 4092, 35]-code) | [i] | ||
| 7 | Linear OA(6488, 4180, F64, 35) (dual of [4180, 4092, 36]-code) | [i] | ||
| 8 | Linear OA(6486, 4180, F64, 34) (dual of [4180, 4094, 35]-code) | [i] | ||