Information on Result #619868
Linear OA(25663, 65536, F256, 32) (dual of [65536, 65473, 33]-code), using an extension Ce(31) of the primitive narrow-sense BCH-code C(I) with length 65535 = 2562−1, defining interval I = [1,31], and designed minimum distance d ≥ |I|+1 = 32
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(16126, 131072, F16, 32) (dual of [131072, 130946, 33]-code) | [i] | Trace Code | |
| 2 | Linear OA(25665, 65538, F256, 33) (dual of [65538, 65473, 34]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 3 | Linear OA(25663, 65538, F256, 32) (dual of [65538, 65475, 33]-code) | [i] | ✔ | |
| 4 | Linear OA(25668, 65541, F256, 34) (dual of [65541, 65473, 35]-code) | [i] | ✔ | |
| 5 | Linear OA(25664, 65541, F256, 32) (dual of [65541, 65477, 33]-code) | [i] | ✔ | |
| 6 | Linear OA(25665, 65544, F256, 32) (dual of [65544, 65479, 33]-code) | [i] | ✔ | |
| 7 | Linear OA(25666, 65547, F256, 32) (dual of [65547, 65481, 33]-code) | [i] | ✔ | |
| 8 | Linear OA(25667, 65550, F256, 32) (dual of [65550, 65483, 33]-code) | [i] | ✔ | |
| 9 | Linear OA(25668, 65553, F256, 32) (dual of [65553, 65485, 33]-code) | [i] | ✔ | |
| 10 | Linear OOA(25663, 16384, F256, 4, 32) (dual of [(16384, 4), 65473, 33]-NRT-code) | [i] | OOA Folding | |
| 11 | Linear OOA(25663, 13107, F256, 5, 32) (dual of [(13107, 5), 65472, 33]-NRT-code) | [i] | ||
| 12 | Linear OOA(25663, 4096, F256, 32, 32) (dual of [(4096, 32), 131009, 33]-NRT-code) | [i] | OA Folding and Stacking | |