Information on Result #640116
Linear OA(995, 123, F9, 55) (dual of [123, 28, 56]-code), using concatenation of two codes based on
- linear OA(8127, 41, F81, 27) (dual of [41, 14, 28]-code or 41-arc in PG(26,81)), using
- discarding factors / shortening the dual code based on linear OA(8127, 81, F81, 27) (dual of [81, 54, 28]-code or 81-arc in PG(26,81)), using
- Reed–Solomon code RS(54,81) [i]
- discarding factors / shortening the dual code based on linear OA(8127, 81, F81, 27) (dual of [81, 54, 28]-code or 81-arc in PG(26,81)), 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(994, 122, F9, 54) (dual of [122, 28, 55]-code) | [i] | Truncation | |
| 2 | Linear OOA(995, 61, F9, 2, 55) (dual of [(61, 2), 27, 56]-NRT-code) | [i] | OOA Folding | |