Information on Result #687059
Linear OA(849, 4097, F8, 13) (dual of [4097, 4048, 14]-code), using the expurgated narrow-sense BCH-code C(I) with length 4097 | 88−1, defining interval I = [0,6], and minimum distance d ≥ |{−6,−5,…,6}|+1 = 14 (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(860, 4107, F8, 17) (dual of [4107, 4047, 18]-code) | [i] | ✔ | Construction X with Cyclic Codes |
| 2 | Linear OA(861, 4109, F8, 17) (dual of [4109, 4048, 18]-code) | [i] | ✔ | |
| 3 | Linear OA(872, 4120, F8, 19) (dual of [4120, 4048, 20]-code) | [i] | ✔ | |
| 4 | Linear OA(881, 4122, F8, 21) (dual of [4122, 4041, 22]-code) | [i] | ✔ | Construction XX with a Chain of Cyclic Codes |
| 5 | Linear OA(871, 4113, F8, 19) (dual of [4113, 4042, 20]-code) | [i] | ✔ | |
| 6 | Linear OA(870, 4111, F8, 19) (dual of [4111, 4041, 20]-code) | [i] | ✔ | |
| 7 | Linear OA(863, 4112, F8, 17) (dual of [4112, 4049, 18]-code) | [i] | ✔ | |