Information on Result #651570
Linear OA(3230, 122, F32, 18) (dual of [122, 92, 19]-code), using construction X applied to AG(F,100P) ⊂ AG(F,102P) based on
- linear OA(3229, 119, F32, 18) (dual of [119, 90, 19]-code), using algebraic-geometric code AG(F,100P) [i] based on function field F/F32 with g(F) = 11 and N(F) ≥ 120, using
- linear OA(3227, 119, F32, 16) (dual of [119, 92, 17]-code), using algebraic-geometric code AG(F,102P) [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(32100, 1146, F32, 37) (dual of [1146, 1046, 38]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(3298, 1147, F32, 36) (dual of [1147, 1049, 37]-code) | [i] | ||
| 3 | Linear OA(32100, 1149, F32, 37) (dual of [1149, 1049, 38]-code) | [i] | ||
| 4 | Linear OA(32101, 1152, F32, 37) (dual of [1152, 1051, 38]-code) | [i] | ||
| 5 | Linear OA(3298, 1149, F32, 36) (dual of [1149, 1051, 37]-code) | [i] | ||
| 6 | Linear OOA(3230, 61, F32, 2, 18) (dual of [(61, 2), 92, 19]-NRT-code) | [i] | OOA Folding | |