Information on Result #619503
Linear OA(8157, 82, F81, 57) (dual of [82, 25, 58]-code or 82-arc in PG(56,81)), using the expurgated narrow-sense BCH-code C(I) with length 82 | 812−1, defining interval I = [0,28], and minimum distance d ≥ |{−28,−27,…,28}|+1 = 58 (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
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(9114, 164, F9, 57) (dual of [164, 50, 58]-code) | [i] | Trace Code | |
| 2 | Linear OA(8173, 99, F81, 57) (dual of [99, 26, 58]-code) | [i] | ✔ | Construction X with Cyclic Codes |