Information on Result #622110
Linear OA(4950, 53, F49, 49) (dual of [53, 3, 50]-code), using construction X applied to C1 ⊂ C0 based on
- linear OA(4949, 50, F49, 49) (dual of [50, 1, 50]-code or 50-arc in PG(48,49)), using code C1 for u = 2 by de Boer and Brouwer [i]
- linear OA(4947, 50, F49, 47) (dual of [50, 3, 48]-code or 50-arc in PG(46,49)), using code C0 for u = 2 by de Boer and Brouwer [i]
- linear OA(491, 3, F49, 1) (dual of [3, 2, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(491, s, F49, 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(4949, 52, F49, 48) (dual of [52, 3, 49]-code) | [i] | Truncation | |
| 2 | Linear OA(496, 53, F49, 5) (dual of [53, 47, 6]-code) | [i] | Construction for [s, s−6, 6]-Code from [s, 3, s−3]-Code | |