Information on Result #642121
Linear OA(1685, 96, F16, 67) (dual of [96, 11, 68]-code), using juxtaposition based on
- linear OA(1620, 31, F16, 18) (dual of [31, 11, 19]-code), using
- discarding factors / shortening the dual code based on linear OA(1620, 33, F16, 18) (dual of [33, 13, 19]-code), using
- extended algebraic-geometric code AGe(F,14P) [i] based on function field F/F16 with g(F) = 2 and N(F) ≥ 33, using
- discarding factors / shortening the dual code based on linear OA(1620, 33, F16, 18) (dual of [33, 13, 19]-code), using
- linear OA(1654, 65, F16, 48) (dual of [65, 11, 49]-code), using
- extended algebraic-geometric code AGe(F,16P) [i] based on function field F/F16 with g(F) = 6 and N(F) ≥ 65, using
- the Hermitian function field over F16 [i]
- extended algebraic-geometric code AGe(F,16P) [i] based on function field F/F16 with g(F) = 6 and N(F) ≥ 65, 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 OOA(1685, 48, F16, 2, 67) (dual of [(48, 2), 11, 68]-NRT-code) | [i] | OOA Folding | |