Information on Result #630311
Linear OA(2133, 198, F2, 41) (dual of [198, 65, 42]-code), using concatenation of two codes based on
- linear OA(3220, 33, F32, 20) (dual of [33, 13, 21]-code or 33-arc in PG(19,32)), using
- extended Reed–Solomon code RSe(13,32) [i]
- 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(2133, 198, F2, 40) (dual of [198, 65, 41]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(2134, 199, F2, 41) (dual of [199, 65, 42]-code) | [i] | Code Embedding in Larger Space | |
| 3 | Linear OA(2135, 200, F2, 41) (dual of [200, 65, 42]-code) | [i] | ||
| 4 | Linear OA(2136, 201, F2, 41) (dual of [201, 65, 42]-code) | [i] | ||
| 5 | Linear OA(2132, 197, F2, 40) (dual of [197, 65, 41]-code) | [i] | Truncation | |
| 6 | Linear OOA(2133, 99, F2, 2, 41) (dual of [(99, 2), 65, 42]-NRT-code) | [i] | OOA Folding | |
| 7 | Linear OOA(2133, 66, F2, 3, 41) (dual of [(66, 3), 65, 42]-NRT-code) | [i] | ||