Information on Result #642397
Linear OA(1674, 77, F16, 69) (dual of [77, 3, 70]-code), using juxtaposition based on
- linear OA(169, 12, F16, 9) (dual of [12, 3, 10]-code or 12-arc in PG(8,16)), using
- discarding factors / shortening the dual code based on linear OA(169, 16, F16, 9) (dual of [16, 7, 10]-code or 16-arc in PG(8,16)), using
- Reed–Solomon code RS(7,16) [i]
- discarding factors / shortening the dual code based on linear OA(169, 16, F16, 9) (dual of [16, 7, 10]-code or 16-arc in PG(8,16)), 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(1674, 77, F16, 68) (dual of [77, 3, 69]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(1674, 77, F16, 67) (dual of [77, 3, 68]-code) | [i] | ||
| 3 | Linear OOA(1674, 38, F16, 2, 69) (dual of [(38, 2), 2, 70]-NRT-code) | [i] | OOA Folding | |