Information on Result #618457
Linear OA(499, 2402, F49, 5) (dual of [2402, 2393, 6]-code), using the expurgated narrow-sense BCH-code C(I) with length 2402 | 494−1, defining interval I = [0,2], and minimum distance d ≥ |{−2,−1,0,1,2}|+1 = 6 (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(718, 4804, F7, 5) (dual of [4804, 4786, 6]-code) | [i] | Trace Code | |
| 2 | Linear OA(4940, 120052, F49, 11) (dual of [120052, 120012, 12]-code) | [i] | (u, u+v)-Construction | |
| 3 | Linear OA(4950, 5767204, F49, 11) (dual of [5767204, 5767154, 12]-code) | [i] | ||
| 4 | Linear OA(4915, 117698, F49, 5) (dual of [117698, 117683, 6]-code) | [i] | Generalized (u, u+v)-Construction | |
| 5 | Linear OA(4911, 2405, F49, 5) (dual of [2405, 2394, 6]-code) | [i] | ✔ | Construction X with Cyclic Codes |
| 6 | Linear OA(4914, 2407, F49, 7) (dual of [2407, 2393, 8]-code) | [i] | ✔ | |
| 7 | Linear OA(4920, 2413, F49, 9) (dual of [2413, 2393, 10]-code) | [i] | ✔ | |
| 8 | Linear OOA(499, 1201, F49, 2, 5) (dual of [(1201, 2), 2393, 6]-NRT-code) | [i] | OOA Folding | |