Information on Result #642000
Linear OA(1693, 109, F16, 68) (dual of [109, 16, 69]-code), using juxtaposition based on
- linear OA(1628, 44, F16, 24) (dual of [44, 16, 25]-code), using
- discarding factors / shortening the dual code based on linear OA(1628, 45, F16, 24) (dual of [45, 17, 25]-code), using
- extended algebraic-geometric code AGe(F,20P) [i] based on function field F/F16 with g(F) = 4 and N(F) ≥ 45, using
- discarding factors / shortening the dual code based on linear OA(1628, 45, F16, 24) (dual of [45, 17, 25]-code), using
- linear OA(1649, 65, F16, 43) (dual of [65, 16, 44]-code), using
- extended algebraic-geometric code AGe(F,21P) [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,21P) [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(1693, 54, F16, 2, 68) (dual of [(54, 2), 15, 69]-NRT-code) | [i] | OOA Folding | |