Information on Result #619216
Linear OA(819, 6562, F81, 5) (dual of [6562, 6553, 6]-code), using the expurgated narrow-sense BCH-code C(I) with length 6562 | 814−1, defining interval I = [0,2], and minimum distance d ≥ |{−2,−1,0,1,2}|+1 = 6 (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(918, 13124, F9, 5) (dual of [13124, 13106, 6]-code) | [i] | Trace Code | |
| 2 | Linear OA(8130, 13124, F81, 11) (dual of [13124, 13094, 12]-code) | [i] | (u, u+v)-Construction | |
| 3 | Linear OA(8140, 538004, F81, 11) (dual of [538004, 537964, 12]-code) | [i] | ||
| 4 | Linear OA(8115, 531522, F81, 5) (dual of [531522, 531507, 6]-code) | [i] | Generalized (u, u+v)-Construction | |
| 5 | Linear OA(8111, 6565, F81, 5) (dual of [6565, 6554, 6]-code) | [i] | ✔ | Construction X with Cyclic Codes |
| 6 | Linear OA(8114, 6567, F81, 7) (dual of [6567, 6553, 8]-code) | [i] | ✔ | |
| 7 | Linear OA(8120, 6573, F81, 9) (dual of [6573, 6553, 10]-code) | [i] | ✔ | |
| 8 | Linear OOA(819, 3281, F81, 2, 5) (dual of [(3281, 2), 6553, 6]-NRT-code) | [i] | OOA Folding | |