Information on Result #630573
Linear OA(2189, 357, F2, 47) (dual of [357, 168, 48]-code), using concatenation of two codes based on
- linear OA(6423, 51, F64, 23) (dual of [51, 28, 24]-code or 51-arc in PG(22,64)), using
- discarding factors / shortening the dual code based on linear OA(6423, 64, F64, 23) (dual of [64, 41, 24]-code or 64-arc in PG(22,64)), using
- Reed–Solomon code RS(41,64) [i]
- discarding factors / shortening the dual code based on linear OA(6423, 64, F64, 23) (dual of [64, 41, 24]-code or 64-arc in PG(22,64)), 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(2188, 356, F2, 46) (dual of [356, 168, 47]-code) | [i] | Truncation | |
| 2 | Linear OOA(2189, 178, F2, 2, 47) (dual of [(178, 2), 167, 48]-NRT-code) | [i] | OOA Folding | |
| 3 | Linear OOA(2189, 119, F2, 3, 47) (dual of [(119, 3), 168, 48]-NRT-code) | [i] | ||