Information on Result #615156

Linear OA(861, 78, F8, 37) (dual of [78, 17, 38]-code), using construction X applied to C([0,18]) ⊂ C([1,18]) based on
  1. linear OA(849, 65, F8, 37) (dual of [65, 16, 38]-code), using the expurgated narrow-sense BCH-code C(I) with length 65 | 84−1, defining interval I = [0,18], and minimum distance d ≥ |{−18,−17,…,18}|+1 = 38 (BCH-bound) [i]
  2. linear OA(848, 65, F8, 24) (dual of [65, 17, 25]-code), using the narrow-sense BCH-code C(I) with length 65 | 84−1, defining interval I = [1,18], and minimum distance d ≥ |{1,2,…,11}| + |{0,22,44,…,−14}∖{22,−21,23,−20,24,25,26,27,28,29}| = 25 (general Roos-bound) [i]
  3. linear OA(812, 13, F8, 12) (dual of [13, 1, 13]-code or 13-arc in PG(11,8)), 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.

Compare with Markus Grassl’s online database of code parameters.

Other Results with Identical Parameters

None.

Depending Results

None.