Information on Result #618505
Linear OA(4933, 5764802, F49, 9) (dual of [5764802, 5764769, 10]-code), using the expurgated narrow-sense BCH-code C(I) with length 5764802 | 498−1, defining interval I = [0,4], and minimum distance d ≥ |{−4,−3,…,4}|+1 = 10 (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(4937, 5764852, F49, 9) (dual of [5764852, 5764815, 10]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(4938, 5764855, F49, 9) (dual of [5764855, 5764817, 10]-code) | [i] | ||
| 3 | Linear OA(4939, 5767154, F49, 9) (dual of [5767154, 5767115, 10]-code) | [i] | ||
| 4 | Linear OA(4940, 5767203, F49, 9) (dual of [5767203, 5767163, 10]-code) | [i] | ||
| 5 | Linear OA(4940, 5764902, F49, 9) (dual of [5764902, 5764862, 10]-code) | [i] | (u, u−v, u+v+w)-Construction | |
| 6 | Linear OA(4937, 5764807, F49, 9) (dual of [5764807, 5764770, 10]-code) | [i] | ✔ | Construction X with Cyclic Codes |
| 7 | Linear OA(4942, 5764811, F49, 11) (dual of [5764811, 5764769, 12]-code) | [i] | ✔ | |
| 8 | Linear OA(4934, 5764811, F49, 9) (dual of [5764811, 5764777, 10]-code) | [i] | ✔ | |
| 9 | Linear OA(4952, 5764821, F49, 13) (dual of [5764821, 5764769, 14]-code) | [i] | ✔ | |
| 10 | Linear OA(4936, 5764821, F49, 9) (dual of [5764821, 5764785, 10]-code) | [i] | ✔ | |
| 11 | Linear OA(4934, 5764812, F49, 9) (dual of [5764812, 5764778, 10]-code) | [i] | ✔ | Construction X4 with Cyclic Codes |