Information on Result #630599
Linear OA(2212, 392, F2, 53) (dual of [392, 180, 54]-code), using concatenation of two codes based on
- linear OA(6426, 56, F64, 26) (dual of [56, 30, 27]-code or 56-arc in PG(25,64)), using
- discarding factors / shortening the dual code based on linear OA(6426, 64, F64, 26) (dual of [64, 38, 27]-code or 64-arc in PG(25,64)), using
- Reed–Solomon code RS(38,64) [i]
- discarding factors / shortening the dual code based on linear OA(6426, 64, F64, 26) (dual of [64, 38, 27]-code or 64-arc in PG(25,64)), 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(2211, 391, F2, 52) (dual of [391, 180, 53]-code) | [i] | Truncation | |
| 2 | Linear OOA(2212, 196, F2, 2, 53) (dual of [(196, 2), 180, 54]-NRT-code) | [i] | OOA Folding | |
| 3 | Linear OOA(2212, 130, F2, 3, 53) (dual of [(130, 3), 178, 54]-NRT-code) | [i] | ||