Information on Result #638304
Linear OA(772, 96, F7, 41) (dual of [96, 24, 42]-code), using concatenation of two codes based on
- linear OA(4920, 32, F49, 20) (dual of [32, 12, 21]-code or 32-arc in PG(19,49)), using
- discarding factors / shortening the dual code based on linear OA(4920, 49, F49, 20) (dual of [49, 29, 21]-code or 49-arc in PG(19,49)), using
- Reed–Solomon code RS(29,49) [i]
- discarding factors / shortening the dual code based on linear OA(4920, 49, F49, 20) (dual of [49, 29, 21]-code or 49-arc in PG(19,49)), 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.
Compare with Markus Grassl’s online database of code parameters.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(771, 95, F7, 40) (dual of [95, 24, 41]-code) | [i] | Truncation | |
| 2 | Linear OOA(772, 48, F7, 2, 41) (dual of [(48, 2), 24, 42]-NRT-code) | [i] | OOA Folding | |
| 3 | Linear OOA(772, 32, F7, 3, 41) (dual of [(32, 3), 24, 42]-NRT-code) | [i] | ||