Information on Result #650089
Linear OA(3237, 66, F32, 33) (dual of [66, 29, 34]-code), using construction X applied to AG(F,29P) ⊂ AG(F,31P) based on
- linear OA(3236, 63, F32, 33) (dual of [63, 27, 34]-code), using algebraic-geometric code AG(F,29P) [i] based on function field F/F32 with g(F) = 3 and N(F) ≥ 64, using
- linear OA(3234, 63, F32, 31) (dual of [63, 29, 32]-code), using algebraic-geometric code AG(F,31P) [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(2251, 396, F2, 67) (dual of [396, 145, 68]-code) | [i] | Concatenation of Two Codes | |