Information on Result #687154
Linear OA(8169, 4096, F8, 49) (dual of [4096, 3927, 50]-code), using an extension Ce(48) of the primitive narrow-sense BCH-code C(I) with length 4095 = 84−1, defining interval I = [1,48], and designed minimum distance d ≥ |I|+1 = 49
Mode: Constructive and linear.
This result is hidden, because other results with identical parameters exist.
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(8173, 4100, F8, 50) (dual of [4100, 3927, 51]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 2 | Linear OA(8170, 4101, F8, 49) (dual of [4101, 3931, 50]-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(8173, 4112, F8, 49) (dual of [4112, 3939, 50]-code) | [i] | ✔ | |
| 6 | Linear OA(8173, 4116, F8, 48) (dual of [4116, 3943, 49]-code) | [i] | ✔ | |
| 7 | Linear OA(8171, 4107, F8, 48) (dual of [4107, 3936, 49]-code) | [i] | ✔ | Construction XX with a Chain of Extended Narrow-Sense BCH Codes |
| 8 | Linear OOA(8169, 2048, F8, 2, 49) (dual of [(2048, 2), 3927, 50]-NRT-code) | [i] | OOA Folding | |
| 9 | Linear OOA(8169, 1365, F8, 3, 49) (dual of [(1365, 3), 3926, 50]-NRT-code) | [i] | ||