Information on Result #700346
Linear OA(25616, 65541, F256, 8) (dual of [65541, 65525, 9]-code), using construction X applied to Ce(7) ⊂ Ce(5) based on
- linear OA(25615, 65536, F256, 8) (dual of [65536, 65521, 9]-code), using an extension Ce(7) of the primitive narrow-sense BCH-code C(I) with length 65535 = 2562−1, defining interval I = [1,7], and designed minimum distance d ≥ |I|+1 = 8 [i]
- linear OA(25611, 65536, F256, 6) (dual of [65536, 65525, 7]-code), using an extension Ce(5) of the primitive narrow-sense BCH-code C(I) with length 65535 = 2562−1, defining interval I = [1,5], and designed minimum distance d ≥ |I|+1 = 6 [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(1632, 131082, F16, 8) (dual of [131082, 131050, 9]-code) | [i] | Trace Code | |
| 2 | OA(3226, 65541, S32, 8) | [i] | Discarding Parts of the Base for OAs | |
| 3 | OA(12819, 65541, S128, 8) | [i] | ||
| 4 | Linear OOA(25616, 32770, F256, 2, 8) (dual of [(32770, 2), 65524, 9]-NRT-code) | [i] | OOA Folding | |
| 5 | Linear OOA(25616, 21847, F256, 3, 8) (dual of [(21847, 3), 65525, 9]-NRT-code) | [i] | ||
| 6 | Linear OOA(25616, 16385, F256, 4, 8) (dual of [(16385, 4), 65524, 9]-NRT-code) | [i] | ||
| 7 | Linear OOA(25616, 16385, F256, 5, 8) (dual of [(16385, 5), 81909, 9]-NRT-code) | [i] | OA Folding and Stacking | |
| 8 | Linear OOA(25616, 16385, F256, 6, 8) (dual of [(16385, 6), 98294, 9]-NRT-code) | [i] | ||
| 9 | Linear OOA(25616, 16385, F256, 8, 8) (dual of [(16385, 8), 131064, 9]-NRT-code) | [i] | ||