Information on Result #642067
Linear OA(1681, 94, F16, 61) (dual of [94, 13, 62]-code), using juxtaposition based on
- linear OA(1616, 29, F16, 14) (dual of [29, 13, 15]-code), using
- discarding factors / shortening the dual code based on linear OA(1616, 33, F16, 14) (dual of [33, 17, 15]-code), using
- extended algebraic-geometric code AGe(F,18P) [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(1616, 33, F16, 14) (dual of [33, 17, 15]-code), using
- linear OA(1652, 65, F16, 46) (dual of [65, 13, 47]-code), using
- extended algebraic-geometric code AGe(F,18P) [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,18P) [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(1681, 47, F16, 2, 61) (dual of [(47, 2), 13, 62]-NRT-code) | [i] | OOA Folding | |