Information on Result #622101
Linear OA(2526, 29, F25, 25) (dual of [29, 3, 26]-code), using construction X applied to C1 ⊂ C0 based on
- linear OA(2525, 26, F25, 25) (dual of [26, 1, 26]-code or 26-arc in PG(24,25)), using code C1 for u = 2 by de Boer and Brouwer [i]
- linear OA(2523, 26, F25, 23) (dual of [26, 3, 24]-code or 26-arc in PG(22,25)), using code C0 for u = 2 by de Boer and Brouwer [i]
- linear OA(251, 3, F25, 1) (dual of [3, 2, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(251, s, F25, 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(2525, 28, F25, 24) (dual of [28, 3, 25]-code) | [i] | Truncation | |
| 2 | Linear OA(2551, 54, F25, 48) (dual of [54, 3, 49]-code) | [i] | Juxtaposition | |
| 3 | Linear OA(2552, 55, F25, 49) (dual of [55, 3, 50]-code) | [i] | ||
| 4 | Linear OA(256, 29, F25, 5) (dual of [29, 23, 6]-code) | [i] | Construction for [s, s−6, 6]-Code from [s, 3, s−3]-Code | |