Information on Result #618478
Linear OA(4913, 2402, F49, 7) (dual of [2402, 2389, 8]-code), using the expurgated narrow-sense BCH-code C(I) with length 2402 | 494−1, 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(726, 4804, F7, 7) (dual of [4804, 4778, 8]-code) | [i] | Trace Code | |
| 2 | Linear OA(4916, 2452, F49, 7) (dual of [2452, 2436, 8]-code) | [i] | (u, u+v)-Construction | |
| 3 | Linear OA(4917, 4804, F49, 7) (dual of [4804, 4787, 8]-code) | [i] | ||
| 4 | Linear OA(4924, 117698, F49, 7) (dual of [117698, 117674, 8]-code) | [i] | Generalized (u, u+v)-Construction | |
| 5 | Linear OA(4916, 2406, F49, 7) (dual of [2406, 2390, 8]-code) | [i] | ✔ | Construction X with Cyclic Codes |
| 6 | Linear OA(4918, 2407, F49, 9) (dual of [2407, 2389, 10]-code) | [i] | ✔ | |
| 7 | Linear OA(4914, 2407, F49, 7) (dual of [2407, 2393, 8]-code) | [i] | ✔ | |
| 8 | Linear OA(4924, 2413, F49, 11) (dual of [2413, 2389, 12]-code) | [i] | ✔ | |
| 9 | Linear OA(4930, 2419, F49, 13) (dual of [2419, 2389, 14]-code) | [i] | ✔ | |
| 10 | Linear OOA(4913, 1201, F49, 2, 7) (dual of [(1201, 2), 2389, 8]-NRT-code) | [i] | OOA Folding | |