Information on Result #640053
Linear OA(990, 126, F9, 49) (dual of [126, 36, 50]-code), using concatenation of two codes based on
- linear OA(8124, 42, F81, 24) (dual of [42, 18, 25]-code or 42-arc in PG(23,81)), using
- discarding factors / shortening the dual code based on linear OA(8124, 81, F81, 24) (dual of [81, 57, 25]-code or 81-arc in PG(23,81)), using
- Reed–Solomon code RS(57,81) [i]
- discarding factors / shortening the dual code based on linear OA(8124, 81, F81, 24) (dual of [81, 57, 25]-code or 81-arc in PG(23,81)), using
- linear OA(91, 3, F9, 1) (dual of [3, 2, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(91, s, F9, 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(989, 125, F9, 48) (dual of [125, 36, 49]-code) | [i] | Truncation | |
| 2 | Linear OOA(990, 63, F9, 2, 49) (dual of [(63, 2), 36, 50]-NRT-code) | [i] | OOA Folding | |