Information on Result #619499

Linear OA(8155, 82, F81, 55) (dual of [82, 27, 56]-code or 82-arc in PG(54,81)), using the expurgated narrow-sense BCH-code C(I) with length 82 | 812−1, defining interval I = [0,27], and minimum distance d ≥ |{−27,−26,…,27}|+1 = 56 (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:

ResultThis
result
only
Method
1Linear OA(9110, 164, F9, 55) (dual of [164, 54, 56]-code) [i]Trace Code
2Linear OA(8169, 97, F81, 55) (dual of [97, 28, 56]-code) [i]Construction X with Cyclic Codes