Information on Result #651568
Linear OA(3231, 122, F32, 19) (dual of [122, 91, 20]-code), using construction X applied to AG(F,99P) ⊂ AG(F,101P) based on
- linear OA(3230, 119, F32, 19) (dual of [119, 89, 20]-code), using algebraic-geometric code AG(F,99P) [i] based on function field F/F32 with g(F) = 11 and N(F) ≥ 120, using
- linear OA(3228, 119, F32, 17) (dual of [119, 91, 18]-code), using algebraic-geometric code AG(F,101P) [i] based on function field F/F32 with g(F) = 11 and N(F) ≥ 120 (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(32105, 1146, F32, 39) (dual of [1146, 1041, 40]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(32103, 1147, F32, 38) (dual of [1147, 1044, 39]-code) | [i] | ||
| 3 | Linear OA(32105, 1149, F32, 39) (dual of [1149, 1044, 40]-code) | [i] | ||
| 4 | Linear OA(32106, 1152, F32, 39) (dual of [1152, 1046, 40]-code) | [i] | ||
| 5 | Linear OA(32107, 1155, F32, 39) (dual of [1155, 1048, 40]-code) | [i] | ||
| 6 | Linear OA(32108, 1158, F32, 39) (dual of [1158, 1050, 40]-code) | [i] | ||
| 7 | Linear OA(32103, 1149, F32, 38) (dual of [1149, 1046, 39]-code) | [i] | ||
| 8 | Linear OA(32104, 1152, F32, 38) (dual of [1152, 1048, 39]-code) | [i] | ||
| 9 | Linear OA(32105, 1155, F32, 38) (dual of [1155, 1050, 39]-code) | [i] | ||
| 10 | Linear OOA(3231, 61, F32, 2, 19) (dual of [(61, 2), 91, 20]-NRT-code) | [i] | OOA Folding | |