Information on Result #638396
Linear OA(785, 111, F7, 49) (dual of [111, 26, 50]-code), using concatenation of two codes based on
- linear OA(4924, 37, F49, 24) (dual of [37, 13, 25]-code or 37-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(784, 110, F7, 48) (dual of [110, 26, 49]-code) | [i] | Truncation | |
| 2 | Linear OOA(785, 55, F7, 2, 49) (dual of [(55, 2), 25, 50]-NRT-code) | [i] | OOA Folding | |
| 3 | Linear OOA(785, 37, F7, 3, 49) (dual of [(37, 3), 26, 50]-NRT-code) | [i] | ||