Information on Result #650129
Linear OA(3217, 66, F32, 13) (dual of [66, 49, 14]-code), using construction X applied to AG(F,49P) ⊂ AG(F,51P) based on
- linear OA(3216, 63, F32, 13) (dual of [63, 47, 14]-code), using algebraic-geometric code AG(F,49P) [i] based on function field F/F32 with g(F) = 3 and N(F) ≥ 64, using
- linear OA(3214, 63, F32, 11) (dual of [63, 49, 12]-code), using algebraic-geometric code AG(F,51P) [i] based on function field F/F32 with g(F) = 3 and N(F) ≥ 64 (see above)
- linear OA(321, 3, F32, 1) (dual of [3, 2, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(321, s, F32, 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(3270, 1091, F32, 27) (dual of [1091, 1021, 28]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(3296, 32835, F32, 27) (dual of [32835, 32739, 28]-code) | [i] | ||
| 3 | Linear OA(3268, 1090, F32, 26) (dual of [1090, 1022, 27]-code) | [i] | ||
| 4 | Linear OA(3293, 32834, F32, 26) (dual of [32834, 32741, 27]-code) | [i] | ||
| 5 | Linear OA(3270, 1093, F32, 27) (dual of [1093, 1023, 28]-code) | [i] | ||
| 6 | Linear OA(3296, 32837, F32, 27) (dual of [32837, 32741, 28]-code) | [i] | ||
| 7 | Linear OA(3268, 1093, F32, 26) (dual of [1093, 1025, 27]-code) | [i] | ||
| 8 | Linear OA(3293, 32837, F32, 26) (dual of [32837, 32744, 27]-code) | [i] | ||