Information on Result #653149
Linear OA(6435, 106, F64, 31) (dual of [106, 71, 32]-code), using construction X applied to AG(F,71P) ⊂ AG(F,73P) based on
- linear OA(6434, 103, F64, 31) (dual of [103, 69, 32]-code), using algebraic-geometric code AG(F,71P) [i] based on function field F/F64 with g(F) = 3 and N(F) ≥ 104, using
- linear OA(6432, 103, F64, 29) (dual of [103, 71, 30]-code), using algebraic-geometric code AG(F,73P) [i] based on function field F/F64 with g(F) = 3 and N(F) ≥ 104 (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(4105, 318, F4, 31) (dual of [318, 213, 32]-code) | [i] | Trace Code | |
| 2 | Linear OA(870, 212, F8, 31) (dual of [212, 142, 32]-code) | [i] | ||
| 3 | Linear OA(6453, 210, F64, 31) (dual of [210, 157, 32]-code) | [i] | (u, u+v)-Construction | |