Information on Result #642326
Linear OA(1685, 90, F16, 74) (dual of [90, 5, 75]-code), using juxtaposition based on
- linear OA(1621, 26, F16, 19) (dual of [26, 5, 20]-code), using
- discarding factors / shortening the dual code based on linear OA(1621, 33, F16, 19) (dual of [33, 12, 20]-code), using
- extended algebraic-geometric code AGe(F,13P) [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(1621, 33, F16, 19) (dual of [33, 12, 20]-code), using
- linear OA(1659, 64, F16, 54) (dual of [64, 5, 55]-code), using
- algebraic-geometric code AG(F,9P) with known gap numbers [i] based on function field F/F16 with g(F) = 6 and N(F) ≥ 65, using the Hermitian function field over F16 [i]
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, 45, F16, 2, 74) (dual of [(45, 2), 5, 75]-NRT-code) | [i] | OOA Folding | |