Information on Result #630622
Linear OA(2227, 413, F2, 57) (dual of [413, 186, 58]-code), using concatenation of two codes based on
- linear OA(6428, 59, F64, 28) (dual of [59, 31, 29]-code or 59-arc in PG(27,64)), using
- discarding factors / shortening the dual code based on linear OA(6428, 64, F64, 28) (dual of [64, 36, 29]-code or 64-arc in PG(27,64)), using
- Reed–Solomon code RS(36,64) [i]
- discarding factors / shortening the dual code based on linear OA(6428, 64, F64, 28) (dual of [64, 36, 29]-code or 64-arc in PG(27,64)), 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(2226, 412, F2, 56) (dual of [412, 186, 57]-code) | [i] | Truncation | |
| 2 | Linear OOA(2227, 206, F2, 2, 57) (dual of [(206, 2), 185, 58]-NRT-code) | [i] | OOA Folding | |
| 3 | Linear OOA(2227, 137, F2, 3, 57) (dual of [(137, 3), 184, 58]-NRT-code) | [i] | ||