Information on Result #614058
Linear OA(5102, 156, F5, 44) (dual of [156, 54, 45]-code), using the expurgated narrow-sense BCH-code C(I) with length 156 | 54−1, defining interval I = [0,42], and minimum distance d ≥ |{−1,0,…,42}|+1 = 45 (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(5103, 158, F5, 44) (dual of [158, 55, 45]-code) | [i] | ✔ | Construction X with Cyclic Codes |
| 2 | Linear OA(5102, 160, F5, 44) (dual of [160, 58, 45]-code) | [i] | ✔ | |
| 3 | Linear OA(5103, 165, F5, 44) (dual of [165, 62, 45]-code) | [i] | ✔ | |
| 4 | Linear OA(5104, 167, F5, 44) (dual of [167, 63, 45]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 5 | Linear OA(5105, 168, F5, 44) (dual of [168, 63, 45]-code) | [i] | ✔ | Construction XX with a Chain of Cyclic Codes |