Information on Result #650909
Linear OA(3228, 106, F32, 18) (dual of [106, 78, 19]-code), using construction X applied to AG(F,84P) ⊂ AG(F,86P) based on
- linear OA(3227, 103, F32, 18) (dual of [103, 76, 19]-code), using algebraic-geometric code AG(F,84P) [i] based on function field F/F32 with g(F) = 9 and N(F) ≥ 104, using
- linear OA(3225, 103, F32, 16) (dual of [103, 78, 17]-code), using algebraic-geometric code AG(F,86P) [i] based on function field F/F32 with g(F) = 9 and N(F) ≥ 104 (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(3298, 1130, F32, 37) (dual of [1130, 1032, 38]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(3296, 1131, F32, 36) (dual of [1131, 1035, 37]-code) | [i] | ||
| 3 | Linear OA(3298, 1133, F32, 37) (dual of [1133, 1035, 38]-code) | [i] | ||
| 4 | Linear OA(3296, 1133, F32, 36) (dual of [1133, 1037, 37]-code) | [i] | ||
| 5 | Linear OOA(3228, 53, F32, 2, 18) (dual of [(53, 2), 78, 19]-NRT-code) | [i] | OOA Folding | |