Information on Result #630582
Linear OA(2200, 392, F2, 49) (dual of [392, 192, 50]-code), using concatenation of two codes based on
- linear OA(6424, 56, F64, 24) (dual of [56, 32, 25]-code or 56-arc in PG(23,64)), using
- discarding factors / shortening the dual code based on linear OA(6424, 64, F64, 24) (dual of [64, 40, 25]-code or 64-arc in PG(23,64)), using
- Reed–Solomon code RS(40,64) [i]
- discarding factors / shortening the dual code based on linear OA(6424, 64, F64, 24) (dual of [64, 40, 25]-code or 64-arc in PG(23,64)), using
- linear OA(21, 7, F2, 1) (dual of [7, 6, 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.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(2199, 391, F2, 48) (dual of [391, 192, 49]-code) | [i] | Truncation | |
| 2 | Linear OOA(2200, 196, F2, 2, 49) (dual of [(196, 2), 192, 50]-NRT-code) | [i] | OOA Folding | |
| 3 | Linear OOA(2200, 130, F2, 3, 49) (dual of [(130, 3), 190, 50]-NRT-code) | [i] | ||