Information on Result #700327
Linear OA(25613, 65536, F256, 7) (dual of [65536, 65523, 8]-code), using an extension Ce(6) of the primitive narrow-sense BCH-code C(I) with length 65535 = 2562−1, defining interval I = [1,6], and designed minimum distance d ≥ |I|+1 = 7
Mode: Constructive and linear.
This result is hidden, because other results with identical parameters exist.
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(25615, 65538, F256, 8) (dual of [65538, 65523, 9]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 2 | Linear OA(25613, 65538, F256, 7) (dual of [65538, 65525, 8]-code) | [i] | ✔ | |
| 3 | Linear OA(25621, 65544, F256, 10) (dual of [65544, 65523, 11]-code) | [i] | ✔ | |
| 4 | Linear OA(25615, 65544, F256, 7) (dual of [65544, 65529, 8]-code) | [i] | ✔ | |
| 5 | Linear OA(25627, 65550, F256, 12) (dual of [65550, 65523, 13]-code) | [i] | ✔ | |
| 6 | Linear OA(25633, 65556, F256, 14) (dual of [65556, 65523, 15]-code) | [i] | ✔ | |
| 7 | Linear OOA(25613, 21845, F256, 4, 7) (dual of [(21845, 4), 87367, 8]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |
| 8 | Linear OOA(25613, 21845, F256, 5, 7) (dual of [(21845, 5), 109212, 8]-NRT-code) | [i] | ||
| 9 | Linear OOA(25613, 21845, F256, 6, 7) (dual of [(21845, 6), 131057, 8]-NRT-code) | [i] | ||