Information on Result #615245
Linear OA(8161, 4096, F8, 46) (dual of [4096, 3935, 47]-code), using an extension Ce(45) of the primitive narrow-sense BCH-code C(I) with length 4095 = 84−1, defining interval I = [1,45], and designed minimum distance d ≥ |I|+1 = 46
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(8165, 4100, F8, 47) (dual of [4100, 3935, 48]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 2 | Linear OA(8161, 4100, F8, 46) (dual of [4100, 3939, 47]-code) | [i] | ✔ | |
| 3 | Linear OA(8170, 4105, F8, 48) (dual of [4105, 3935, 49]-code) | [i] | ✔ | |
| 4 | Linear OA(8171, 4105, F8, 49) (dual of [4105, 3934, 50]-code) | [i] | ✔ | |
| 5 | Linear OA(8162, 4105, F8, 46) (dual of [4105, 3943, 47]-code) | [i] | ✔ | |
| 6 | Linear OA(8164, 4111, F8, 46) (dual of [4111, 3947, 47]-code) | [i] | ✔ | |
| 7 | Linear OA(8165, 4116, F8, 46) (dual of [4116, 3951, 47]-code) | [i] | ✔ | |
| 8 | Linear OA(8167, 4122, F8, 46) (dual of [4122, 3955, 47]-code) | [i] | ✔ | |
| 9 | Linear OA(8172, 4131, F8, 46) (dual of [4131, 3959, 47]-code) | [i] | ✔ | |
| 10 | Linear OA(8171, 4130, F8, 46) (dual of [4130, 3959, 47]-code) | [i] | ✔ | |
| 11 | Linear OA(8171, 4107, F8, 48) (dual of [4107, 3936, 49]-code) | [i] | ✔ | Construction XX with a Chain of Extended Narrow-Sense BCH Codes |
| 12 | Linear OA(8163, 4107, F8, 46) (dual of [4107, 3944, 47]-code) | [i] | ✔ | |
| 13 | Linear OA(8166, 4118, F8, 46) (dual of [4118, 3952, 47]-code) | [i] | ✔ | |
| 14 | Linear OA(8171, 4129, F8, 46) (dual of [4129, 3958, 47]-code) | [i] | ✔ | |
| 15 | Linear OA(8170, 4127, F8, 46) (dual of [4127, 3957, 47]-code) | [i] | ✔ | |
| 16 | Linear OA(8169, 4125, F8, 46) (dual of [4125, 3956, 47]-code) | [i] | ✔ | |