Information on Result #619851
Linear OA(25651, 65536, F256, 26) (dual of [65536, 65485, 27]-code), using an extension Ce(25) of the primitive narrow-sense BCH-code C(I) with length 65535 = 2562−1, defining interval I = [1,25], and designed minimum distance d ≥ |I|+1 = 26
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(16102, 131072, F16, 26) (dual of [131072, 130970, 27]-code) | [i] | Trace Code | |
| 2 | Linear OA(25664, 65793, F256, 26) (dual of [65793, 65729, 27]-code) | [i] | (u, u+v)-Construction | |
| 3 | Linear OA(25665, 65796, F256, 26) (dual of [65796, 65731, 27]-code) | [i] | ||
| 4 | Linear OA(25666, 65798, F256, 26) (dual of [65798, 65732, 27]-code) | [i] | ||
| 5 | Linear OA(25667, 65800, F256, 26) (dual of [65800, 65733, 27]-code) | [i] | ||
| 6 | Linear OA(25668, 65802, F256, 26) (dual of [65802, 65734, 27]-code) | [i] | ||
| 7 | Linear OA(25668, 65554, F256, 26) (dual of [65554, 65486, 27]-code) | [i] | (u, u−v, u+v+w)-Construction | |
| 8 | Linear OA(25653, 65538, F256, 27) (dual of [65538, 65485, 28]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 9 | Linear OA(25651, 65538, F256, 26) (dual of [65538, 65487, 27]-code) | [i] | ✔ | |
| 10 | Linear OA(25656, 65541, F256, 28) (dual of [65541, 65485, 29]-code) | [i] | ✔ | |
| 11 | Linear OA(25652, 65541, F256, 26) (dual of [65541, 65489, 27]-code) | [i] | ✔ | |
| 12 | Linear OA(25659, 65544, F256, 29) (dual of [65544, 65485, 30]-code) | [i] | ✔ | |
| 13 | Linear OA(25653, 65544, F256, 26) (dual of [65544, 65491, 27]-code) | [i] | ✔ | |
| 14 | Linear OA(25662, 65547, F256, 30) (dual of [65547, 65485, 31]-code) | [i] | ✔ | |
| 15 | Linear OA(25654, 65547, F256, 26) (dual of [65547, 65493, 27]-code) | [i] | ✔ | |
| 16 | Linear OA(25665, 65550, F256, 31) (dual of [65550, 65485, 32]-code) | [i] | ✔ | |
| 17 | Linear OA(25655, 65550, F256, 26) (dual of [65550, 65495, 27]-code) | [i] | ✔ | |
| 18 | Linear OA(25668, 65553, F256, 32) (dual of [65553, 65485, 33]-code) | [i] | ✔ | |
| 19 | Linear OA(25656, 65553, F256, 26) (dual of [65553, 65497, 27]-code) | [i] | ✔ | |
| 20 | Linear OA(25657, 65556, F256, 26) (dual of [65556, 65499, 27]-code) | [i] | ✔ | |
| 21 | Linear OA(25658, 65559, F256, 26) (dual of [65559, 65501, 27]-code) | [i] | ✔ | |
| 22 | Linear OA(25659, 65562, F256, 26) (dual of [65562, 65503, 27]-code) | [i] | ✔ | |
| 23 | Linear OA(25660, 65565, F256, 26) (dual of [65565, 65505, 27]-code) | [i] | ✔ | |
| 24 | Linear OA(25661, 65568, F256, 26) (dual of [65568, 65507, 27]-code) | [i] | ✔ | |
| 25 | Linear OA(25662, 65571, F256, 26) (dual of [65571, 65509, 27]-code) | [i] | ✔ | |
| 26 | Linear OA(25663, 65574, F256, 26) (dual of [65574, 65511, 27]-code) | [i] | ✔ | |
| 27 | Linear OOA(25651, 16384, F256, 4, 26) (dual of [(16384, 4), 65485, 27]-NRT-code) | [i] | OOA Folding | |
| 28 | Linear OOA(25651, 13107, F256, 5, 26) (dual of [(13107, 5), 65484, 27]-NRT-code) | [i] | ||
| 29 | Linear OOA(25651, 5041, F256, 26, 26) (dual of [(5041, 26), 131015, 27]-NRT-code) | [i] | OA Folding and Stacking | |