Information on Result #615176
Linear OA(8166, 32768, F8, 38) (dual of [32768, 32602, 39]-code), using an extension Ce(37) of the primitive narrow-sense BCH-code C(I) with length 32767 = 85−1, defining interval I = [1,37], 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 OOA(8166, 28084, F8, 2, 38) (dual of [(28084, 2), 56002, 39]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(8166, 28084, F8, 3, 38) (dual of [(28084, 3), 84086, 39]-NRT-code) | [i] | ||
| 3 | Digital (128, 166, 28084)-net over F8 | [i] | ||
| 4 | Linear OA(8171, 32773, F8, 39) (dual of [32773, 32602, 40]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 5 | Linear OA(8166, 32773, F8, 38) (dual of [32773, 32607, 39]-code) | [i] | ✔ | |
| 6 | Linear OA(8167, 32779, F8, 38) (dual of [32779, 32612, 39]-code) | [i] | ✔ | |
| 7 | Linear OA(8169, 32786, F8, 38) (dual of [32786, 32617, 39]-code) | [i] | ✔ | |
| 8 | Linear OA(8170, 32792, F8, 38) (dual of [32792, 32622, 39]-code) | [i] | ✔ | |
| 9 | Linear OA(8172, 32799, F8, 38) (dual of [32799, 32627, 39]-code) | [i] | ✔ | |
| 10 | Linear OA(8168, 32781, F8, 38) (dual of [32781, 32613, 39]-code) | [i] | ✔ | Construction XX with a Chain of Extended Narrow-Sense BCH Codes |
| 11 | Linear OA(8171, 32794, F8, 38) (dual of [32794, 32623, 39]-code) | [i] | ✔ | |
| 12 | Linear OOA(8166, 1724, F8, 38, 38) (dual of [(1724, 38), 65346, 39]-NRT-code) | [i] | OA Folding and Stacking | |