Information on Result #682391
Linear OA(543, 78126, F5, 7) (dual of [78126, 78083, 8]-code), using the expurgated narrow-sense BCH-code C(I) with length 78126 | 514−1, defining interval I = [0,3], and minimum distance d ≥ |{−3,−2,…,3}|+1 = 8 (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(560, 78132, F5, 11) (dual of [78132, 78072, 12]-code) | [i] | ✔ | Construction X with Cyclic Codes |
| 2 | Linear OA(561, 78144, F5, 11) (dual of [78144, 78083, 12]-code) | [i] | ✔ | |
| 3 | Linear OA(559, 78132, F5, 10) (dual of [78132, 78073, 11]-code) | [i] | ✔ | |
| 4 | Linear OA(579, 78150, F5, 13) (dual of [78150, 78071, 14]-code) | [i] | ✔ | |
| 5 | Linear OA(580, 78153, F5, 13) (dual of [78153, 78073, 14]-code) | [i] | ✔ | |
| 6 | Linear OA(580, 78163, F5, 13) (dual of [78163, 78083, 14]-code) | [i] | ✔ | |