Information on Result #638395
Linear OA(786, 114, F7, 49) (dual of [114, 28, 50]-code), using concatenation of two codes based on
- linear OA(4924, 38, F49, 24) (dual of [38, 14, 25]-code or 38-arc in PG(23,49)), using
- discarding factors / shortening the dual code based on linear OA(4924, 49, F49, 24) (dual of [49, 25, 25]-code or 49-arc in PG(23,49)), using
- Reed–Solomon code RS(25,49) [i]
- discarding factors / shortening the dual code based on linear OA(4924, 49, F49, 24) (dual of [49, 25, 25]-code or 49-arc in PG(23,49)), 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, 113, F7, 48) (dual of [113, 28, 49]-code) | [i] | Truncation | |
| 2 | Linear OOA(786, 57, F7, 2, 49) (dual of [(57, 2), 28, 50]-NRT-code) | [i] | OOA Folding | |
| 3 | Linear OOA(786, 38, F7, 3, 49) (dual of [(38, 3), 28, 50]-NRT-code) | [i] | ||