Information on Result #630638
Linear OA(2232, 406, F2, 59) (dual of [406, 174, 60]-code), using concatenation of two codes based on
- linear OA(6429, 58, F64, 29) (dual of [58, 29, 30]-code or 58-arc in PG(28,64)), using
- discarding factors / shortening the dual code based on linear OA(6429, 64, F64, 29) (dual of [64, 35, 30]-code or 64-arc in PG(28,64)), using
- Reed–Solomon code RS(35,64) [i]
- discarding factors / shortening the dual code based on linear OA(6429, 64, F64, 29) (dual of [64, 35, 30]-code or 64-arc in PG(28,64)), 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(2231, 405, F2, 58) (dual of [405, 174, 59]-code) | [i] | Truncation | |
| 2 | Linear OOA(2232, 203, F2, 2, 59) (dual of [(203, 2), 174, 60]-NRT-code) | [i] | OOA Folding | |
| 3 | Linear OOA(2232, 135, F2, 3, 59) (dual of [(135, 3), 173, 60]-NRT-code) | [i] | ||