Information on Result #621421
Linear OA(8134, 1312, F81, 18) (dual of [1312, 1278, 19]-code), using the BCH-code C(I) with length 1312 | 812−1, defining interval I = {1,6,11,…,86}, 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 | OA(2746, 1312, S27, 18) | [i] | Discarding Parts of the Base for OAs | |
| 2 | Linear OOA(8134, 727, F81, 2, 18) (dual of [(727, 2), 1420, 19]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 3 | Linear OOA(8134, 727, F81, 3, 18) (dual of [(727, 3), 2147, 19]-NRT-code) | [i] | ||
| 4 | Linear OOA(8134, 727, F81, 4, 18) (dual of [(727, 4), 2874, 19]-NRT-code) | [i] | ||
| 5 | Digital (16, 34, 727)-net over F81 | [i] | ||
| 6 | Linear OOA(8134, 656, F81, 2, 18) (dual of [(656, 2), 1278, 19]-NRT-code) | [i] | OOA Folding | |
| 7 | Linear OOA(8134, 437, F81, 3, 18) (dual of [(437, 3), 1277, 19]-NRT-code) | [i] | ||
| 8 | Linear OOA(8134, 328, F81, 4, 18) (dual of [(328, 4), 1278, 19]-NRT-code) | [i] | ||