Information on Result #618484
Linear OA(4925, 5764802, F49, 7) (dual of [5764802, 5764777, 8]-code), using the expurgated narrow-sense BCH-code C(I) with length 5764802 | 498−1, 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(750, large, F7, 7) (dual of [large, large−50, 8]-code) | [i] | Trace Code | |
| 2 | Linear OA(4928, 5764852, F49, 7) (dual of [5764852, 5764824, 8]-code) | [i] | (u, u+v)-Construction | |
| 3 | Linear OA(4929, 5767204, F49, 7) (dual of [5767204, 5767175, 8]-code) | [i] | ||
| 4 | Linear OA(4930, 5770752, F49, 7) (dual of [5770752, 5770722, 8]-code) | [i] | ||
| 5 | Linear OA(4930, 5764902, F49, 7) (dual of [5764902, 5764872, 8]-code) | [i] | (u, u−v, u+v+w)-Construction | |
| 6 | Linear OA(4928, 5764806, F49, 7) (dual of [5764806, 5764778, 8]-code) | [i] | ✔ | Construction X with Cyclic Codes |
| 7 | Linear OA(4934, 5764811, F49, 9) (dual of [5764811, 5764777, 10]-code) | [i] | ✔ | |
| 8 | Linear OA(4926, 5764811, F49, 7) (dual of [5764811, 5764785, 8]-code) | [i] | ✔ | |
| 9 | Linear OA(4944, 5764821, F49, 11) (dual of [5764821, 5764777, 12]-code) | [i] | ✔ | |
| 10 | Linear OA(4954, 5764831, F49, 13) (dual of [5764831, 5764777, 14]-code) | [i] | ✔ | |
| 11 | Linear OA(4934, 5764812, F49, 9) (dual of [5764812, 5764778, 10]-code) | [i] | ✔ | Construction X4 with Cyclic Codes |
| 12 | Linear OA(4926, 5764812, F49, 7) (dual of [5764812, 5764786, 8]-code) | [i] | ✔ | |