Information on Result #642399
Linear OA(1675, 78, F16, 70) (dual of [78, 3, 71]-code), using juxtaposition based on
- linear OA(1610, 13, F16, 10) (dual of [13, 3, 11]-code or 13-arc in PG(9,16)), using
- discarding factors / shortening the dual code based on linear OA(1610, 16, F16, 10) (dual of [16, 6, 11]-code or 16-arc in PG(9,16)), using
- Reed–Solomon code RS(6,16) [i]
- discarding factors / shortening the dual code based on linear OA(1610, 16, F16, 10) (dual of [16, 6, 11]-code or 16-arc in PG(9,16)), using
- linear OA(1662, 65, F16, 59) (dual of [65, 3, 60]-code), using
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(1675, 78, F16, 69) (dual of [78, 3, 70]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(1675, 78, F16, 68) (dual of [78, 3, 69]-code) | [i] | ||
| 3 | Linear OOA(1675, 39, F16, 2, 70) (dual of [(39, 2), 3, 71]-NRT-code) | [i] | OOA Folding | |