Information on Result #628453
Linear OA(870, 8192, F8, 18) (dual of [8192, 8122, 19]-code), using trace code based on linear OA(6435, 4096, F64, 18) (dual of [4096, 4061, 19]-code), using
- an extension Ce(17) of the primitive narrow-sense BCH-code C(I) with length 4095 = 642−1, defining interval I = [1,17], and designed minimum distance d ≥ |I|+1 = 18 [i]
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 OOA(870, 7612, F8, 2, 18) (dual of [(7612, 2), 15154, 19]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(870, 7612, F8, 3, 18) (dual of [(7612, 3), 22766, 19]-NRT-code) | [i] | ||
| 3 | Digital (52, 70, 7612)-net over F8 | [i] | ||
| 4 | Linear OOA(870, 910, F8, 18, 18) (dual of [(910, 18), 16310, 19]-NRT-code) | [i] | OA Folding and Stacking | |