Information on Result #621441
Linear OA(8173, 1312, F81, 38) (dual of [1312, 1239, 39]-code), using the BCH-code C(I) with length 1312 | 812−1, defining interval I = {1,40,79,…,132}, and designed minimum distance d ≥ |I|+1 = 39
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(8174, 1313, F81, 38) (dual of [1313, 1239, 39]-code) | [i] | Code Embedding in Larger Space | |
| 2 | OA(2798, 1312, S27, 38) | [i] | Discarding Parts of the Base for OAs | |
| 3 | Linear OOA(8173, 1155, F81, 2, 38) (dual of [(1155, 2), 2237, 39]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 4 | Linear OOA(8173, 1155, F81, 3, 38) (dual of [(1155, 3), 3392, 39]-NRT-code) | [i] | ||
| 5 | Linear OOA(8173, 1155, F81, 4, 38) (dual of [(1155, 4), 4547, 39]-NRT-code) | [i] | ||
| 6 | Digital (35, 73, 1155)-net over F81 | [i] | ||
| 7 | Linear OA(8174, 1315, F81, 38) (dual of [1315, 1241, 39]-code) | [i] | Varšamov–Edel Lengthening | |
| 8 | Linear OA(8174, 1314, F81, 38) (dual of [1314, 1240, 39]-code) | [i] | Construction X with Varšamov Bound | |
| 9 | Linear OOA(8173, 656, F81, 2, 38) (dual of [(656, 2), 1239, 39]-NRT-code) | [i] | OOA Folding | |
| 10 | Linear OOA(8173, 437, F81, 3, 38) (dual of [(437, 3), 1238, 39]-NRT-code) | [i] | ||
| 11 | Linear OOA(8173, 328, F81, 4, 38) (dual of [(328, 4), 1239, 39]-NRT-code) | [i] | ||