Information on Result #630685
Linear OA(2257, 413, F2, 67) (dual of [413, 156, 68]-code), using concatenation of two codes based on
- linear OA(6433, 59, F64, 33) (dual of [59, 26, 34]-code or 59-arc in PG(32,64)), using
- discarding factors / shortening the dual code based on linear OA(6433, 64, F64, 33) (dual of [64, 31, 34]-code or 64-arc in PG(32,64)), using
- Reed–Solomon code RS(31,64) [i]
- discarding factors / shortening the dual code based on linear OA(6433, 64, F64, 33) (dual of [64, 31, 34]-code or 64-arc in PG(32,64)), 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(2256, 412, F2, 66) (dual of [412, 156, 67]-code) | [i] | Truncation | |
| 2 | Linear OOA(2257, 206, F2, 2, 67) (dual of [(206, 2), 155, 68]-NRT-code) | [i] | OOA Folding | |
| 3 | Linear OOA(2257, 137, F2, 3, 67) (dual of [(137, 3), 154, 68]-NRT-code) | [i] | ||