Information on Result #642348
Linear OA(1668, 72, F16, 60) (dual of [72, 4, 61]-code), using juxtaposition based on
- linear OA(164, 8, F16, 4) (dual of [8, 4, 5]-code or 8-arc in PG(3,16)), using
- discarding factors / shortening the dual code based on linear OA(164, 16, F16, 4) (dual of [16, 12, 5]-code or 16-arc in PG(3,16)), using
- Reed–Solomon code RS(12,16) [i]
- discarding factors / shortening the dual code based on linear OA(164, 16, F16, 4) (dual of [16, 12, 5]-code or 16-arc in PG(3,16)), using
- linear OA(1660, 64, F16, 55) (dual of [64, 4, 56]-code), using
- algebraic-geometric code AG(F,8P) 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(1668, 36, F16, 2, 60) (dual of [(36, 2), 4, 61]-NRT-code) | [i] | OOA Folding | |