Information on Result #613725
Linear OA(5109, 1953126, F5, 15) (dual of [1953126, 1953017, 16]-code), using the expurgated narrow-sense BCH-code C(I) with length 1953126 | 518−1, defining interval I = [0,7], and minimum distance d ≥ |{−7,−6,…,7}|+1 = 16 (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(5119, 1953151, F5, 15) (dual of [1953151, 1953032, 16]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(5116, 1953134, F5, 15) (dual of [1953134, 1953018, 16]-code) | [i] | ✔ | Construction X with Cyclic Codes |
| 3 | Linear OA(5128, 1953145, F5, 17) (dual of [1953145, 1953017, 18]-code) | [i] | ✔ | |
| 4 | Linear OA(5110, 1953145, F5, 15) (dual of [1953145, 1953035, 16]-code) | [i] | ✔ | |
| 5 | Linear OA(5150, 1953167, F5, 19) (dual of [1953167, 1953017, 20]-code) | [i] | ✔ | |
| 6 | Linear OA(5113, 1953152, F5, 15) (dual of [1953152, 1953039, 16]-code) | [i] | ✔ | |
| 7 | Linear OA(5114, 1953167, F5, 15) (dual of [1953167, 1953053, 16]-code) | [i] | ✔ | |
| 8 | Linear OA(5128, 1953146, F5, 17) (dual of [1953146, 1953018, 18]-code) | [i] | ✔ | Construction X4 with Cyclic Codes |
| 9 | Linear OA(5110, 1953146, F5, 15) (dual of [1953146, 1953036, 16]-code) | [i] | ✔ | |