Information on Result #630553
Linear OA(2189, 399, F2, 45) (dual of [399, 210, 46]-code), using concatenation of two codes based on
- linear OA(6422, 57, F64, 22) (dual of [57, 35, 23]-code or 57-arc in PG(21,64)), using
- discarding factors / shortening the dual code based on linear OA(6422, 64, F64, 22) (dual of [64, 42, 23]-code or 64-arc in PG(21,64)), using
- Reed–Solomon code RS(42,64) [i]
- discarding factors / shortening the dual code based on linear OA(6422, 64, F64, 22) (dual of [64, 42, 23]-code or 64-arc in PG(21,64)), 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, 398, F2, 44) (dual of [398, 210, 45]-code) | [i] | Truncation | |
| 2 | Linear OOA(2189, 199, F2, 2, 45) (dual of [(199, 2), 209, 46]-NRT-code) | [i] | OOA Folding | |
| 3 | Linear OOA(2189, 133, F2, 3, 45) (dual of [(133, 3), 210, 46]-NRT-code) | [i] | ||