Information on Result #630525
Linear OA(2161, 329, F2, 39) (dual of [329, 168, 40]-code), using concatenation of two codes based on
- linear OA(6419, 47, F64, 19) (dual of [47, 28, 20]-code or 47-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(2160, 328, F2, 38) (dual of [328, 168, 39]-code) | [i] | Truncation | |
| 2 | Linear OOA(2161, 164, F2, 2, 39) (dual of [(164, 2), 167, 40]-NRT-code) | [i] | OOA Folding | |
| 3 | Linear OOA(2161, 109, F2, 3, 39) (dual of [(109, 3), 166, 40]-NRT-code) | [i] | ||