Information on Result #642338
Linear OA(1699, 104, F16, 86) (dual of [104, 5, 87]-code), using juxtaposition based on
- linear OA(1635, 40, F16, 31) (dual of [40, 5, 32]-code), using
- discarding factors / shortening the dual code based on linear OA(1635, 45, F16, 31) (dual of [45, 10, 32]-code), using
- extended algebraic-geometric code AGe(F,13P) [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(1635, 45, F16, 31) (dual of [45, 10, 32]-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(1699, 52, F16, 2, 86) (dual of [(52, 2), 5, 87]-NRT-code) | [i] | OOA Folding | |