Information on Result #638331
Linear OA(773, 93, F7, 43) (dual of [93, 20, 44]-code), using concatenation of two codes based on
- linear OA(4921, 31, F49, 21) (dual of [31, 10, 22]-code or 31-arc in PG(20,49)), using
- discarding factors / shortening the dual code based on linear OA(4921, 49, F49, 21) (dual of [49, 28, 22]-code or 49-arc in PG(20,49)), using
- Reed–Solomon code RS(28,49) [i]
- discarding factors / shortening the dual code based on linear OA(4921, 49, F49, 21) (dual of [49, 28, 22]-code or 49-arc in PG(20,49)), 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(772, 92, F7, 42) (dual of [92, 20, 43]-code) | [i] | Truncation | |
| 2 | Linear OOA(773, 46, F7, 2, 43) (dual of [(46, 2), 19, 44]-NRT-code) | [i] | OOA Folding | |
| 3 | Linear OOA(773, 31, F7, 3, 43) (dual of [(31, 3), 20, 44]-NRT-code) | [i] | ||