Information on Result #614957
Linear OA(865, 4097, F8, 19) (dual of [4097, 4032, 20]-code), using the expurgated narrow-sense BCH-code C(I) with length 4097 | 88−1, defining interval I = [0,9], and minimum distance d ≥ |{−9,−8,…,9}|+1 = 20 (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(873, 4106, F8, 19) (dual of [4106, 4033, 20]-code) | [i] | ✔ | Construction X with Cyclic Codes |
| 2 | Linear OA(874, 4106, F8, 21) (dual of [4106, 4032, 22]-code) | [i] | ✔ | |
| 3 | Linear OA(866, 4106, F8, 19) (dual of [4106, 4040, 20]-code) | [i] | ✔ | |
| 4 | Linear OA(885, 4117, F8, 23) (dual of [4117, 4032, 24]-code) | [i] | ✔ | |
| 5 | Linear OA(872, 4120, F8, 19) (dual of [4120, 4048, 20]-code) | [i] | ✔ | |
| 6 | Linear OA(896, 4128, F8, 25) (dual of [4128, 4032, 26]-code) | [i] | ✔ | |
| 7 | Linear OA(895, 4120, F8, 25) (dual of [4120, 4025, 26]-code) | [i] | ✔ | Construction XX with a Chain of Cyclic Codes |
| 8 | Linear OA(884, 4109, F8, 23) (dual of [4109, 4025, 24]-code) | [i] | ✔ | |
| 9 | Linear OA(887, 4120, F8, 23) (dual of [4120, 4033, 24]-code) | [i] | ✔ | |
| 10 | Linear OA(876, 4109, F8, 21) (dual of [4109, 4033, 22]-code) | [i] | ✔ | |
| 11 | Linear OA(871, 4113, F8, 19) (dual of [4113, 4042, 20]-code) | [i] | ✔ | |
| 12 | Linear OA(870, 4111, F8, 19) (dual of [4111, 4041, 20]-code) | [i] | ✔ | |