Information on Result #621608
Linear OA(25632, 1285, F256, 18) (dual of [1285, 1253, 19]-code), using the BCH-code C(I) with length 1285 | 2562−1, defining interval I = {1,18,35,…,290}, and designed minimum distance d ≥ |I|+1 = 19
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(25633, 1286, F256, 18) (dual of [1286, 1253, 19]-code) | [i] | Code Embedding in Larger Space | |
| 2 | Linear OOA(25632, 1229, F256, 2, 18) (dual of [(1229, 2), 2426, 19]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 3 | Linear OOA(25632, 1229, F256, 3, 18) (dual of [(1229, 3), 3655, 19]-NRT-code) | [i] | ||
| 4 | Linear OOA(25632, 1229, F256, 4, 18) (dual of [(1229, 4), 4884, 19]-NRT-code) | [i] | ||
| 5 | Linear OOA(25632, 1229, F256, 5, 18) (dual of [(1229, 5), 6113, 19]-NRT-code) | [i] | ||
| 6 | Linear OOA(25632, 1229, F256, 6, 18) (dual of [(1229, 6), 7342, 19]-NRT-code) | [i] | ||
| 7 | Digital (14, 32, 1229)-net over F256 | [i] | ||
| 8 | Linear OA(25633, 1371, F256, 18) (dual of [1371, 1338, 19]-code) | [i] | Varšamov–Edel Lengthening | |
| 9 | Linear OOA(25632, 642, F256, 2, 18) (dual of [(642, 2), 1252, 19]-NRT-code) | [i] | OOA Folding | |
| 10 | Linear OOA(25632, 428, F256, 3, 18) (dual of [(428, 3), 1252, 19]-NRT-code) | [i] | ||
| 11 | Linear OOA(25632, 321, F256, 4, 18) (dual of [(321, 4), 1252, 19]-NRT-code) | [i] | ||