Information on Result #630526
Linear OA(2160, 322, F2, 39) (dual of [322, 162, 40]-code), using concatenation of two codes based on
- linear OA(6419, 46, F64, 19) (dual of [46, 27, 20]-code or 46-arc in PG(18,64)), using
- discarding factors / shortening the dual code based on linear OA(6419, 64, F64, 19) (dual of [64, 45, 20]-code or 64-arc in PG(18,64)), using
- Reed–Solomon code RS(45,64) [i]
- discarding factors / shortening the dual code based on linear OA(6419, 64, F64, 19) (dual of [64, 45, 20]-code or 64-arc in PG(18,64)), 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(2159, 321, F2, 38) (dual of [321, 162, 39]-code) | [i] | Truncation | |
| 2 | Linear OOA(2160, 161, F2, 2, 39) (dual of [(161, 2), 162, 40]-NRT-code) | [i] | OOA Folding | |
| 3 | Linear OOA(2160, 107, F2, 3, 39) (dual of [(107, 3), 161, 40]-NRT-code) | [i] | ||