Information on Result #630578
Linear OA(2204, 420, F2, 49) (dual of [420, 216, 50]-code), using concatenation of two codes based on
- linear OA(6424, 60, F64, 24) (dual of [60, 36, 25]-code or 60-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(2203, 419, F2, 48) (dual of [419, 216, 49]-code) | [i] | Truncation | |
| 2 | Linear OOA(2204, 210, F2, 2, 49) (dual of [(210, 2), 216, 50]-NRT-code) | [i] | OOA Folding | |
| 3 | Linear OOA(2204, 140, F2, 3, 49) (dual of [(140, 3), 216, 50]-NRT-code) | [i] | ||