Information on Result #615168
Linear OA(8161, 32769, F8, 37) (dual of [32769, 32608, 38]-code), using the expurgated narrow-sense BCH-code C(I) with length 32769 | 810−1, defining interval I = [0,18], and minimum distance d ≥ |{−18,−17,…,18}|+1 = 38 (BCH-bound)
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, 32780, F8, 39) (dual of [32780, 32608, 40]-code) | [i] | ✔ | Construction X with Cyclic Codes |
| 2 | Linear OA(8162, 32780, F8, 37) (dual of [32780, 32618, 38]-code) | [i] | ✔ | |
| 3 | Linear OA(8165, 32793, F8, 37) (dual of [32793, 32628, 38]-code) | [i] | ✔ | |
| 4 | Linear OA(8172, 32810, F8, 36) (dual of [32810, 32638, 37]-code) | [i] | ✔ | |
| 5 | Linear OA(8173, 32806, F8, 37) (dual of [32806, 32633, 38]-code) | [i] | ✔ | Construction XX with a Chain of Cyclic Codes |
| 6 | Linear OA(8172, 32804, F8, 37) (dual of [32804, 32632, 38]-code) | [i] | ✔ | |
| 7 | Linear OA(8171, 32802, F8, 37) (dual of [32802, 32631, 38]-code) | [i] | ✔ | |