Information on Result #619444
Linear OA(8139, 82, F81, 39) (dual of [82, 43, 40]-code or 82-arc in PG(38,81)), using the expurgated narrow-sense BCH-code C(I) with length 82 | 812−1, defining interval I = [0,19], and minimum distance d ≥ |{−19,−18,…,19}|+1 = 40 (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(978, 164, F9, 39) (dual of [164, 86, 40]-code) | [i] | Trace Code | |
| 2 | Linear OA(3238, 410, F3, 79) (dual of [410, 172, 80]-code) | [i] | Concatenation of Two Codes | |
| 3 | Linear OA(8157, 101, F81, 39) (dual of [101, 44, 40]-code) | [i] | ✔ | Construction X with Cyclic Codes |