Information on Result #700335
Linear OA(25660, 65541, F256, 30) (dual of [65541, 65481, 31]-code), using construction X applied to Ce(29) ⊂ Ce(27) based on
- linear OA(25659, 65536, F256, 30) (dual of [65536, 65477, 31]-code), using an extension Ce(29) of the primitive narrow-sense BCH-code C(I) with length 65535 = 2562−1, defining interval I = [1,29], and designed minimum distance d ≥ |I|+1 = 30 [i]
- linear OA(25655, 65536, F256, 28) (dual of [65536, 65481, 29]-code), using an extension Ce(27) of the primitive narrow-sense BCH-code C(I) with length 65535 = 2562−1, defining interval I = [1,27], and designed minimum distance d ≥ |I|+1 = 28 [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(16120, 131082, F16, 30) (dual of [131082, 130962, 31]-code) | [i] | Trace Code | |
| 2 | OA(3296, 65541, S32, 30) | [i] | Discarding Parts of the Base for OAs | |
| 3 | OA(6480, 65541, S64, 30) | [i] | ||
| 4 | OA(12869, 65541, S128, 30) | [i] | ||
| 5 | Linear OOA(25660, 32770, F256, 2, 30) (dual of [(32770, 2), 65480, 31]-NRT-code) | [i] | OOA Folding | |
| 6 | Linear OOA(25660, 21847, F256, 3, 30) (dual of [(21847, 3), 65481, 31]-NRT-code) | [i] | ||
| 7 | Linear OOA(25660, 16385, F256, 4, 30) (dual of [(16385, 4), 65480, 31]-NRT-code) | [i] | ||
| 8 | Linear OOA(25660, 13108, F256, 5, 30) (dual of [(13108, 5), 65480, 31]-NRT-code) | [i] | ||