Information on Result #621589
Linear OA(25667, 4369, F256, 35) (dual of [4369, 4302, 36]-code), using the BCH-code C(I) with length 4369 | 2562−1, defining interval I = {256,377,498,…,1}, and designed minimum distance d ≥ |I|+1 = 36
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(25668, 4370, F256, 35) (dual of [4370, 4302, 36]-code) | [i] | Code Embedding in Larger Space | |
| 2 | Linear OOA(25667, 3368, F256, 2, 35) (dual of [(3368, 2), 6669, 36]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 3 | Linear OOA(25667, 3368, F256, 3, 35) (dual of [(3368, 3), 10037, 36]-NRT-code) | [i] | ||
| 4 | Linear OOA(25667, 3368, F256, 4, 35) (dual of [(3368, 4), 13405, 36]-NRT-code) | [i] | ||
| 5 | Linear OOA(25667, 3368, F256, 5, 35) (dual of [(3368, 5), 16773, 36]-NRT-code) | [i] | ||
| 6 | Linear OOA(25667, 3368, F256, 6, 35) (dual of [(3368, 6), 20141, 36]-NRT-code) | [i] | ||
| 7 | Digital (32, 67, 3368)-net over F256 | [i] | ||
| 8 | Linear OOA(25667, 2184, F256, 2, 35) (dual of [(2184, 2), 4301, 36]-NRT-code) | [i] | OOA Folding | |
| 9 | Linear OOA(25667, 1456, F256, 3, 35) (dual of [(1456, 3), 4301, 36]-NRT-code) | [i] | ||
| 10 | Linear OOA(25667, 1092, F256, 4, 35) (dual of [(1092, 4), 4301, 36]-NRT-code) | [i] | ||
| 11 | Linear OOA(25667, 873, F256, 5, 35) (dual of [(873, 5), 4298, 36]-NRT-code) | [i] | ||
| 12 | Linear OOA(25667, 728, F256, 6, 35) (dual of [(728, 6), 4301, 36]-NRT-code) | [i] | ||