Information on Result #619234
Linear OA(8119, 531442, F81, 7) (dual of [531442, 531423, 8]-code), using the expurgated narrow-sense BCH-code C(I) with length 531442 | 816−1, defining interval I = [0,3], and minimum distance d ≥ |{−3,−2,…,3}|+1 = 8 (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(938, 1062884, F9, 7) (dual of [1062884, 1062846, 8]-code) | [i] | Trace Code | |
| 2 | Linear OA(8122, 531524, F81, 7) (dual of [531524, 531502, 8]-code) | [i] | (u, u+v)-Construction | |
| 3 | Linear OA(8123, 538004, F81, 7) (dual of [538004, 537981, 8]-code) | [i] | ||
| 4 | Linear OA(8124, 547760, F81, 7) (dual of [547760, 547736, 8]-code) | [i] | ||
| 5 | Linear OA(8124, 531606, F81, 7) (dual of [531606, 531582, 8]-code) | [i] | (u, u−v, u+v+w)-Construction | |
| 6 | Linear OA(8122, 531446, F81, 7) (dual of [531446, 531424, 8]-code) | [i] | ✔ | Construction X with Cyclic Codes |
| 7 | Linear OA(8126, 531449, F81, 9) (dual of [531449, 531423, 10]-code) | [i] | ✔ | |
| 8 | Linear OA(8120, 531449, F81, 7) (dual of [531449, 531429, 8]-code) | [i] | ✔ | |
| 9 | Linear OA(8134, 531457, F81, 11) (dual of [531457, 531423, 12]-code) | [i] | ✔ | |
| 10 | Linear OA(8142, 531465, F81, 13) (dual of [531465, 531423, 14]-code) | [i] | ✔ | |
| 11 | Linear OA(8120, 531450, F81, 7) (dual of [531450, 531430, 8]-code) | [i] | ✔ | Construction X4 with Cyclic Codes |
| 12 | Linear OOA(8119, 177147, F81, 4, 7) (dual of [(177147, 4), 708569, 8]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |
| 13 | Linear OOA(8119, 177147, F81, 7, 7) (dual of [(177147, 7), 1240010, 8]-NRT-code) | [i] | ||