Information on Result #638417
Linear OA(786, 108, F7, 51) (dual of [108, 22, 52]-code), using concatenation of two codes based on
- linear OA(4925, 36, F49, 25) (dual of [36, 11, 26]-code or 36-arc in PG(24,49)), using
- discarding factors / shortening the dual code based on linear OA(4925, 49, F49, 25) (dual of [49, 24, 26]-code or 49-arc in PG(24,49)), using
- Reed–Solomon code RS(24,49) [i]
- discarding factors / shortening the dual code based on linear OA(4925, 49, F49, 25) (dual of [49, 24, 26]-code or 49-arc in PG(24,49)), using
- linear OA(71, 3, F7, 1) (dual of [3, 2, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(71, s, F7, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, 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(785, 107, F7, 50) (dual of [107, 22, 51]-code) | [i] | Truncation | |
| 2 | Linear OOA(786, 54, F7, 2, 51) (dual of [(54, 2), 22, 52]-NRT-code) | [i] | OOA Folding | |
| 3 | Linear OOA(786, 36, F7, 3, 51) (dual of [(36, 3), 22, 52]-NRT-code) | [i] | ||