Information on Result #615239
Linear OA(8157, 4096, F8, 45) (dual of [4096, 3939, 46]-code), using an extension Ce(44) of the primitive narrow-sense BCH-code C(I) with length 4095 = 84−1, defining interval I = [1,44], and designed minimum distance d ≥ |I|+1 = 45
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(8161, 4100, F8, 46) (dual of [4100, 3939, 47]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 2 | Linear OA(8157, 4100, F8, 45) (dual of [4100, 3943, 46]-code) | [i] | ✔ | |
| 3 | Linear OA(8166, 4105, F8, 47) (dual of [4105, 3939, 48]-code) | [i] | ✔ | |
| 4 | Linear OA(8158, 4105, F8, 45) (dual of [4105, 3947, 46]-code) | [i] | ✔ | |
| 5 | Linear OA(8173, 4112, F8, 49) (dual of [4112, 3939, 50]-code) | [i] | ✔ | |
| 6 | Linear OA(8160, 4111, F8, 45) (dual of [4111, 3951, 46]-code) | [i] | ✔ | |
| 7 | Linear OA(8161, 4116, F8, 45) (dual of [4116, 3955, 46]-code) | [i] | ✔ | |
| 8 | Linear OA(8164, 4123, F8, 45) (dual of [4123, 3959, 46]-code) | [i] | ✔ | |
| 9 | Linear OA(8168, 4131, F8, 45) (dual of [4131, 3963, 46]-code) | [i] | ✔ | |
| 10 | Linear OA(8170, 4137, F8, 45) (dual of [4137, 3967, 46]-code) | [i] | ✔ | |
| 11 | Linear OA(8171, 4142, F8, 45) (dual of [4142, 3971, 46]-code) | [i] | ✔ | |
| 12 | Linear OA(8172, 4147, F8, 45) (dual of [4147, 3975, 46]-code) | [i] | ✔ | |
| 13 | Linear OA(8173, 4152, F8, 45) (dual of [4152, 3979, 46]-code) | [i] | ✔ | |
| 14 | Linear OA(8167, 4130, F8, 45) (dual of [4130, 3963, 46]-code) | [i] | ✔ | |
| 15 | Linear OA(8171, 4107, F8, 48) (dual of [4107, 3936, 49]-code) | [i] | ✔ | Construction XX with a Chain of Extended Narrow-Sense BCH Codes |
| 16 | Linear OA(8167, 4107, F8, 47) (dual of [4107, 3940, 48]-code) | [i] | ✔ | |
| 17 | Linear OA(8159, 4107, F8, 45) (dual of [4107, 3948, 46]-code) | [i] | ✔ | |
| 18 | Linear OA(8163, 4119, F8, 45) (dual of [4119, 3956, 46]-code) | [i] | ✔ | |
| 19 | Linear OA(8167, 4129, F8, 45) (dual of [4129, 3962, 46]-code) | [i] | ✔ | |
| 20 | Linear OA(8166, 4127, F8, 45) (dual of [4127, 3961, 46]-code) | [i] | ✔ | |
| 21 | Linear OA(8165, 4125, F8, 45) (dual of [4125, 3960, 46]-code) | [i] | ✔ | |