Information on Result #630533
Linear OA(2171, 357, F2, 41) (dual of [357, 186, 42]-code), using concatenation of two codes based on
- linear OA(6420, 51, F64, 20) (dual of [51, 31, 21]-code or 51-arc in PG(19,64)), using
- discarding factors / shortening the dual code based on linear OA(6420, 64, F64, 20) (dual of [64, 44, 21]-code or 64-arc in PG(19,64)), using
- Reed–Solomon code RS(44,64) [i]
- discarding factors / shortening the dual code based on linear OA(6420, 64, F64, 20) (dual of [64, 44, 21]-code or 64-arc in PG(19,64)), 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(2170, 356, F2, 40) (dual of [356, 186, 41]-code) | [i] | Truncation | |
| 2 | Linear OOA(2171, 178, F2, 2, 41) (dual of [(178, 2), 185, 42]-NRT-code) | [i] | OOA Folding | |
| 3 | Linear OOA(2171, 119, F2, 3, 41) (dual of [(119, 3), 186, 42]-NRT-code) | [i] | ||