Information on Result #618499
Linear OA(4917, 2402, F49, 9) (dual of [2402, 2385, 10]-code), using the expurgated narrow-sense BCH-code C(I) with length 2402 | 494−1, 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(734, 4804, F7, 9) (dual of [4804, 4770, 10]-code) | [i] | Trace Code | |
| 2 | Linear OA(4921, 2452, F49, 9) (dual of [2452, 2431, 10]-code) | [i] | (u, u+v)-Construction | |
| 3 | Linear OA(4922, 2455, F49, 9) (dual of [2455, 2433, 10]-code) | [i] | ||
| 4 | Linear OA(4923, 4754, F49, 9) (dual of [4754, 4731, 10]-code) | [i] | ||
| 5 | Linear OA(4921, 2407, F49, 9) (dual of [2407, 2386, 10]-code) | [i] | ✔ | Construction X with Cyclic Codes |
| 6 | Linear OA(4922, 2407, F49, 11) (dual of [2407, 2385, 12]-code) | [i] | ✔ | |
| 7 | Linear OA(4918, 2407, F49, 9) (dual of [2407, 2389, 10]-code) | [i] | ✔ | |
| 8 | Linear OA(4928, 2413, F49, 13) (dual of [2413, 2385, 14]-code) | [i] | ✔ | |
| 9 | Linear OA(4920, 2413, F49, 9) (dual of [2413, 2393, 10]-code) | [i] | ✔ | |
| 10 | Linear OA(4934, 2419, F49, 15) (dual of [2419, 2385, 16]-code) | [i] | ✔ | |
| 11 | Linear OA(4940, 2425, F49, 17) (dual of [2425, 2385, 18]-code) | [i] | ✔ | |
| 12 | Linear OOA(4917, 1201, F49, 2, 9) (dual of [(1201, 2), 2385, 10]-NRT-code) | [i] | OOA Folding | |