Information on Result #642312
Linear OA(1669, 74, F16, 60) (dual of [74, 5, 61]-code), using juxtaposition based on
- linear OA(165, 10, F16, 5) (dual of [10, 5, 6]-code or 10-arc in PG(4,16)), using
- discarding factors / shortening the dual code based on linear OA(165, 16, F16, 5) (dual of [16, 11, 6]-code or 16-arc in PG(4,16)), using
- Reed–Solomon code RS(11,16) [i]
- discarding factors / shortening the dual code based on linear OA(165, 16, F16, 5) (dual of [16, 11, 6]-code or 16-arc in PG(4,16)), 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(1669, 37, F16, 2, 60) (dual of [(37, 2), 5, 61]-NRT-code) | [i] | OOA Folding | |