Information on Result #642072
Linear OA(1687, 100, F16, 66) (dual of [100, 13, 67]-code), using juxtaposition based on
- linear OA(1622, 35, F16, 19) (dual of [35, 13, 20]-code), using
- discarding factors / shortening the dual code based on linear OA(1622, 38, F16, 19) (dual of [38, 16, 20]-code), using
- extended algebraic-geometric code AGe(F,18P) [i] based on function field F/F16 with g(F) = 3 and N(F) ≥ 38, using
- discarding factors / shortening the dual code based on linear OA(1622, 38, F16, 19) (dual of [38, 16, 20]-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(1687, 50, F16, 2, 66) (dual of [(50, 2), 13, 67]-NRT-code) | [i] | OOA Folding | |