Information on Result #615154
Linear OA(8156, 32768, F8, 36) (dual of [32768, 32612, 37]-code), using an extension Ce(35) of the primitive narrow-sense BCH-code C(I) with length 32767 = 85−1, defining interval I = [1,35], and designed minimum distance d ≥ |I|+1 = 36
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(8156, 25296, F8, 2, 36) (dual of [(25296, 2), 50436, 37]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(8156, 25296, F8, 3, 36) (dual of [(25296, 3), 75732, 37]-NRT-code) | [i] | ||
| 3 | Digital (120, 156, 25296)-net over F8 | [i] | ||
| 4 | Linear OA(8161, 32773, F8, 37) (dual of [32773, 32612, 38]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 5 | Linear OA(8156, 32773, F8, 36) (dual of [32773, 32617, 37]-code) | [i] | ✔ | |
| 6 | Linear OA(8167, 32779, F8, 38) (dual of [32779, 32612, 39]-code) | [i] | ✔ | |
| 7 | Linear OA(8157, 32779, F8, 36) (dual of [32779, 32622, 37]-code) | [i] | ✔ | |
| 8 | Linear OA(8159, 32786, F8, 36) (dual of [32786, 32627, 37]-code) | [i] | ✔ | |
| 9 | Linear OA(8162, 32794, F8, 36) (dual of [32794, 32632, 37]-code) | [i] | ✔ | |
| 10 | Linear OA(8163, 32800, F8, 36) (dual of [32800, 32637, 37]-code) | [i] | ✔ | |
| 11 | Linear OA(8167, 32809, F8, 36) (dual of [32809, 32642, 37]-code) | [i] | ✔ | |
| 12 | Linear OA(8169, 32816, F8, 36) (dual of [32816, 32647, 37]-code) | [i] | ✔ | |
| 13 | Linear OA(8170, 32822, F8, 36) (dual of [32822, 32652, 37]-code) | [i] | ✔ | |
| 14 | Linear OA(8171, 32828, F8, 36) (dual of [32828, 32657, 37]-code) | [i] | ✔ | |
| 15 | Linear OA(8172, 32833, F8, 36) (dual of [32833, 32661, 37]-code) | [i] | ✔ | |
| 16 | Linear OA(8166, 32807, F8, 36) (dual of [32807, 32641, 37]-code) | [i] | ✔ | |
| 17 | Linear OA(8168, 32781, F8, 38) (dual of [32781, 32613, 39]-code) | [i] | ✔ | Construction XX with a Chain of Extended Narrow-Sense BCH Codes |
| 18 | Linear OA(8158, 32781, F8, 36) (dual of [32781, 32623, 37]-code) | [i] | ✔ | |
| 19 | Linear OA(8161, 32789, F8, 36) (dual of [32789, 32628, 37]-code) | [i] | ✔ | |
| 20 | Linear OOA(8156, 1820, F8, 36, 36) (dual of [(1820, 36), 65364, 37]-NRT-code) | [i] | OA Folding and Stacking | |