Information on Result #630265
Linear OA(287, 162, F2, 25) (dual of [162, 75, 26]-code), using concatenation of two codes based on
- linear OA(3212, 27, F32, 12) (dual of [27, 15, 13]-code or 27-arc in PG(11,32)), using
- discarding factors / shortening the dual code based on linear OA(3212, 32, F32, 12) (dual of [32, 20, 13]-code or 32-arc in PG(11,32)), using
- Reed–Solomon code RS(20,32) [i]
- discarding factors / shortening the dual code based on linear OA(3212, 32, F32, 12) (dual of [32, 20, 13]-code or 32-arc in PG(11,32)), using
- linear OA(21, 6, F2, 1) (dual of [6, 5, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(21, s, F2, 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(286, 161, F2, 24) (dual of [161, 75, 25]-code) | [i] | Truncation | |
| 2 | Linear OOA(287, 81, F2, 2, 25) (dual of [(81, 2), 75, 26]-NRT-code) | [i] | OOA Folding | |
| 3 | Linear OOA(287, 54, F2, 3, 25) (dual of [(54, 3), 75, 26]-NRT-code) | [i] | ||