Information on Result #619436
Linear OA(8137, 82, F81, 37) (dual of [82, 45, 38]-code or 82-arc in PG(36,81)), using the expurgated narrow-sense BCH-code C(I) with length 82 | 812−1, defining interval I = [0,18], and minimum distance d ≥ |{−18,−17,…,18}|+1 = 38 (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(974, 164, F9, 37) (dual of [164, 90, 38]-code) | [i] | Trace Code | |
| 2 | Linear OA(3230, 410, F3, 75) (dual of [410, 180, 76]-code) | [i] | Concatenation of Two Codes | |
| 3 | Linear OA(8153, 99, F81, 37) (dual of [99, 46, 38]-code) | [i] | ✔ | Construction X with Cyclic Codes |