Information on Result #621440
Linear OA(8171, 1312, F81, 37) (dual of [1312, 1241, 38]-code), using the BCH-code C(I) with length 1312 | 812−1, defining interval I = {1,54,107,…,597}, and designed minimum distance d ≥ |I|+1 = 38
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(8172, 1313, F81, 37) (dual of [1313, 1241, 38]-code) | [i] | Code Embedding in Larger Space | |
| 2 | OA(2795, 1312, S27, 37) | [i] | Discarding Parts of the Base for OAs | |
| 3 | Linear OOA(8171, 1125, F81, 2, 37) (dual of [(1125, 2), 2179, 38]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 4 | Linear OOA(8171, 1125, F81, 3, 37) (dual of [(1125, 3), 3304, 38]-NRT-code) | [i] | ||
| 5 | Linear OOA(8171, 1125, F81, 4, 37) (dual of [(1125, 4), 4429, 38]-NRT-code) | [i] | ||
| 6 | Digital (34, 71, 1125)-net over F81 | [i] | ||
| 7 | Linear OOA(8171, 656, F81, 2, 37) (dual of [(656, 2), 1241, 38]-NRT-code) | [i] | OOA Folding | |
| 8 | Linear OOA(8171, 437, F81, 3, 37) (dual of [(437, 3), 1240, 38]-NRT-code) | [i] | ||
| 9 | Linear OOA(8171, 328, F81, 4, 37) (dual of [(328, 4), 1241, 38]-NRT-code) | [i] | ||