Information on Result #650393
Linear OA(3226, 100, F32, 18) (dual of [100, 74, 19]-code), using construction X applied to AG(F,78P) ⊂ AG(F,80P) based on
- linear OA(3225, 97, F32, 18) (dual of [97, 72, 19]-code), using algebraic-geometric code AG(F,78P) [i] based on function field F/F32 with g(F) = 7 and N(F) ≥ 98, using
- linear OA(3223, 97, F32, 16) (dual of [97, 74, 17]-code), using algebraic-geometric code AG(F,80P) [i] based on function field F/F32 with g(F) = 7 and N(F) ≥ 98 (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(3296, 1124, F32, 37) (dual of [1124, 1028, 38]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(3294, 1125, F32, 36) (dual of [1125, 1031, 37]-code) | [i] | ||
| 3 | Linear OA(3296, 1127, F32, 37) (dual of [1127, 1031, 38]-code) | [i] | ||
| 4 | Linear OA(3294, 1127, F32, 36) (dual of [1127, 1033, 37]-code) | [i] | ||
| 5 | Linear OOA(3226, 50, F32, 2, 18) (dual of [(50, 2), 74, 19]-NRT-code) | [i] | OOA Folding | |