Information on Result #642288
Linear OA(1686, 92, F16, 74) (dual of [92, 6, 75]-code), using juxtaposition based on
- linear OA(1622, 28, F16, 20) (dual of [28, 6, 21]-code), using
- discarding factors / shortening the dual code based on linear OA(1622, 33, F16, 20) (dual of [33, 11, 21]-code), using
- extended algebraic-geometric code AGe(F,12P) [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(1622, 33, F16, 20) (dual of [33, 11, 21]-code), using
- linear OA(1658, 64, F16, 53) (dual of [64, 6, 54]-code), using
- algebraic-geometric code AG(F,10P) 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 OA(1686, 92, F16, 73) (dual of [92, 6, 74]-code) | [i] | Strength Reduction | |
| 2 | Linear OOA(1686, 46, F16, 2, 74) (dual of [(46, 2), 6, 75]-NRT-code) | [i] | OOA Folding | |