Information on Result #700238
Linear OA(25650, 65542, F256, 25) (dual of [65542, 65492, 26]-code), using construction X applied to C([0,12]) ⊂ C([0,11]) based on
- linear OA(25649, 65537, F256, 25) (dual of [65537, 65488, 26]-code), using the expurgated narrow-sense BCH-code C(I) with length 65537 | 2564−1, defining interval I = [0,12], and minimum distance d ≥ |{−12,−11,…,12}|+1 = 26 (BCH-bound) [i]
- linear OA(25645, 65537, F256, 23) (dual of [65537, 65492, 24]-code), using the expurgated narrow-sense BCH-code C(I) with length 65537 | 2564−1, defining interval I = [0,11], and minimum distance d ≥ |{−11,−10,…,11}|+1 = 24 (BCH-bound) [i]
- linear OA(2561, 5, F256, 1) (dual of [5, 4, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(2561, s, F256, 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(16100, 131084, F16, 25) (dual of [131084, 130984, 26]-code) | [i] | Trace Code | |
| 2 | OA(3280, 65542, S32, 25) | [i] | Discarding Parts of the Base for OAs | |
| 3 | OA(6467, 65542, S64, 25) | [i] | ||
| 4 | OA(12858, 65542, S128, 25) | [i] | ||
| 5 | Linear OA(25662, 65799, F256, 25) (dual of [65799, 65737, 26]-code) | [i] | (u, u+v)-Construction | |
| 6 | Linear OA(25663, 65802, F256, 25) (dual of [65802, 65739, 26]-code) | [i] | ||
| 7 | Linear OA(25664, 65804, F256, 25) (dual of [65804, 65740, 26]-code) | [i] | ||
| 8 | Linear OA(25665, 65806, F256, 25) (dual of [65806, 65741, 26]-code) | [i] | ||
| 9 | Linear OA(25666, 65808, F256, 25) (dual of [65808, 65742, 26]-code) | [i] | ||
| 10 | Linear OA(25668, 66056, F256, 25) (dual of [66056, 65988, 26]-code) | [i] | ||
| 11 | Linear OOA(25650, 32771, F256, 2, 25) (dual of [(32771, 2), 65492, 26]-NRT-code) | [i] | OOA Folding | |
| 12 | Linear OOA(25650, 21847, F256, 3, 25) (dual of [(21847, 3), 65491, 26]-NRT-code) | [i] | ||
| 13 | Linear OOA(25650, 16385, F256, 4, 25) (dual of [(16385, 4), 65490, 26]-NRT-code) | [i] | ||
| 14 | Linear OOA(25650, 13108, F256, 5, 25) (dual of [(13108, 5), 65490, 26]-NRT-code) | [i] | ||