Information on Result #617807

Linear OA(2791, 384, F27, 39) (dual of [384, 293, 40]-code), using construction X applied to C([0,19]) ⊂ C([1,19]) based on
  1. linear OA(2773, 365, F27, 39) (dual of [365, 292, 40]-code), using the expurgated narrow-sense BCH-code C(I) with length 365 | 274−1, defining interval I = [0,19], and minimum distance d ≥ |{−19,−18,…,19}|+1 = 40 (BCH-bound) [i]
  2. linear OA(2772, 365, F27, 20) (dual of [365, 293, 21]-code), using the narrow-sense BCH-code C(I) with length 365 | 274−1, defining interval I = [1,19], and minimum distance d ≥ |{−19,−17,−15,…,19}|+1 = 21 (BCH-bound) [i]
  3. linear OA(2718, 19, F27, 18) (dual of [19, 1, 19]-code or 19-arc in PG(17,27)), using

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

None.

Depending Results

None.