Information on Result #619377

Linear OA(8127, 82, F81, 27) (dual of [82, 55, 28]-code or 82-arc in PG(26,81)), using the expurgated narrow-sense BCH-code C(I) with length 82 | 812−1, defining interval I = [0,13], and minimum distance d ≥ |{−13,−12,…,13}|+1 = 28 (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(954, 164, F9, 27) (dual of [164, 110, 28]-code) [i]Trace Code
2Linear OA(3190, 410, F3, 55) (dual of [410, 220, 56]-code) [i]Concatenation of Two Codes
3Linear OA(8139, 95, F81, 27) (dual of [95, 56, 28]-code) [i]Construction X with Cyclic Codes