Information on Result #613881
Linear OA(5141, 78126, F5, 25) (dual of [78126, 77985, 26]-code), using the expurgated narrow-sense BCH-code C(I) with length 78126 | 514−1, defining interval I = [0,12], and minimum distance d ≥ |{−12,−11,…,12}|+1 = 26 (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 OOA(5141, 42348, F5, 2, 25) (dual of [(42348, 2), 84555, 26]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(5141, 42348, F5, 3, 25) (dual of [(42348, 3), 126903, 26]-NRT-code) | [i] | ||
| 3 | Digital (116, 141, 42348)-net over F5 | [i] | ||
| 4 | Linear OA(5142, 78141, F5, 25) (dual of [78141, 77999, 26]-code) | [i] | ✔ | Construction X with Cyclic Codes |
| 5 | Linear OA(5145, 78152, F5, 25) (dual of [78152, 78007, 26]-code) | [i] | ✔ | |
| 6 | Linear OA(5146, 78159, F5, 25) (dual of [78159, 78013, 26]-code) | [i] | ✔ | |
| 7 | Linear OA(5144, 78157, F5, 24) (dual of [78157, 78013, 25]-code) | [i] | ✔ | |