Information on Result #650135
Linear OA(3214, 66, F32, 10) (dual of [66, 52, 11]-code), using construction X applied to AG(F,52P) ⊂ AG(F,54P) based on
- linear OA(3213, 63, F32, 10) (dual of [63, 50, 11]-code), using algebraic-geometric code AG(F,52P) [i] based on function field F/F32 with g(F) = 3 and N(F) ≥ 64, using
- linear OA(3211, 63, F32, 8) (dual of [63, 52, 9]-code), using algebraic-geometric code AG(F,54P) [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(3255, 1091, F32, 21) (dual of [1091, 1036, 22]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(3275, 32835, F32, 21) (dual of [32835, 32760, 22]-code) | [i] | ||
| 3 | Linear OA(3295, 1048643, F32, 21) (dual of [1048643, 1048548, 22]-code) | [i] | ||
| 4 | Linear OA(3253, 1090, F32, 20) (dual of [1090, 1037, 21]-code) | [i] | ||
| 5 | Linear OA(3272, 32834, F32, 20) (dual of [32834, 32762, 21]-code) | [i] | ||
| 6 | Linear OA(3291, 1048642, F32, 20) (dual of [1048642, 1048551, 21]-code) | [i] | ||
| 7 | Linear OA(3255, 1093, F32, 21) (dual of [1093, 1038, 22]-code) | [i] | ||
| 8 | Linear OA(3275, 32837, F32, 21) (dual of [32837, 32762, 22]-code) | [i] | ||
| 9 | Linear OA(3295, 1048646, F32, 21) (dual of [1048646, 1048551, 22]-code) | [i] | ||
| 10 | Linear OA(3253, 1093, F32, 20) (dual of [1093, 1040, 21]-code) | [i] | ||
| 11 | Linear OA(3272, 32837, F32, 20) (dual of [32837, 32765, 21]-code) | [i] | ||
| 12 | Linear OA(3291, 1048646, F32, 20) (dual of [1048646, 1048555, 21]-code) | [i] | ||