Information on Result #687035
Linear OA(8161, 4097, F8, 45) (dual of [4097, 3936, 46]-code), using the expurgated narrow-sense BCH-code C(I) with length 4097 | 88−1, defining interval I = [0,22], and minimum distance d ≥ |{−22,−21,…,22}|+1 = 46 (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(8170, 4106, F8, 47) (dual of [4106, 3936, 48]-code) | [i] | ✔ | Construction X with Cyclic Codes |
| 2 | Linear OA(8172, 4107, F8, 49) (dual of [4107, 3935, 50]-code) | [i] | ✔ | |
| 3 | Linear OA(8173, 4109, F8, 49) (dual of [4109, 3936, 50]-code) | [i] | ✔ | |
| 4 | Linear OA(8162, 4106, F8, 45) (dual of [4106, 3944, 46]-code) | [i] | ✔ | |
| 5 | Linear OA(8165, 4117, F8, 45) (dual of [4117, 3952, 46]-code) | [i] | ✔ | |
| 6 | Linear OA(8168, 4128, F8, 45) (dual of [4128, 3960, 46]-code) | [i] | ✔ | |
| 7 | Linear OA(8172, 4140, F8, 44) (dual of [4140, 3968, 45]-code) | [i] | ✔ | |
| 8 | Linear OA(8172, 4109, F8, 47) (dual of [4109, 3937, 48]-code) | [i] | ✔ | Construction XX with a Chain of Cyclic Codes |
| 9 | Linear OA(8164, 4109, F8, 45) (dual of [4109, 3945, 46]-code) | [i] | ✔ | |
| 10 | Linear OA(8167, 4120, F8, 45) (dual of [4120, 3953, 46]-code) | [i] | ✔ | |
| 11 | Linear OA(8169, 4130, F8, 44) (dual of [4130, 3961, 45]-code) | [i] | ✔ | |