Information on Result #640019
Linear OA(987, 129, F9, 45) (dual of [129, 42, 46]-code), using concatenation of two codes based on
- linear OA(8122, 43, F81, 22) (dual of [43, 21, 23]-code or 43-arc in PG(21,81)), using
- discarding factors / shortening the dual code based on linear OA(8122, 81, F81, 22) (dual of [81, 59, 23]-code or 81-arc in PG(21,81)), using
- Reed–Solomon code RS(59,81) [i]
- discarding factors / shortening the dual code based on linear OA(8122, 81, F81, 22) (dual of [81, 59, 23]-code or 81-arc in PG(21,81)), 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(986, 128, F9, 44) (dual of [128, 42, 45]-code) | [i] | Truncation | |
| 2 | Linear OOA(987, 64, F9, 2, 45) (dual of [(64, 2), 41, 46]-NRT-code) | [i] | OOA Folding | |