Information on Result #630253
Linear OA(284, 174, F2, 23) (dual of [174, 90, 24]-code), using concatenation of two codes based on
- linear OA(3211, 29, F32, 11) (dual of [29, 18, 12]-code or 29-arc in PG(10,32)), using
- discarding factors / shortening the dual code based on linear OA(3211, 32, F32, 11) (dual of [32, 21, 12]-code or 32-arc in PG(10,32)), using
- Reed–Solomon code RS(21,32) [i]
- discarding factors / shortening the dual code based on linear OA(3211, 32, F32, 11) (dual of [32, 21, 12]-code or 32-arc in PG(10,32)), 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(283, 173, F2, 22) (dual of [173, 90, 23]-code) | [i] | Truncation | |
| 2 | Linear OOA(284, 87, F2, 2, 23) (dual of [(87, 2), 90, 24]-NRT-code) | [i] | OOA Folding | |
| 3 | Linear OOA(284, 58, F2, 3, 23) (dual of [(58, 3), 90, 24]-NRT-code) | [i] | ||