Information on Result #616048

Linear OA(993, 103, F9, 61) (dual of [103, 10, 62]-code), using construction X applied to C([0,30]) ⊂ C([1,30]) based on
  1. linear OA(973, 82, F9, 61) (dual of [82, 9, 62]-code), using the expurgated narrow-sense BCH-code C(I) with length 82 | 94−1, defining interval I = [0,30], and minimum distance d ≥ |{−30,−29,…,30}|+1 = 62 (BCH-bound) [i]
  2. linear OA(972, 82, F9, 40) (dual of [82, 10, 41]-code), using the narrow-sense BCH-code C(I) with length 82 | 94−1, defining interval I = [1,30], and minimum distance d ≥ |{1,2,…,14}| + |{13,40,67,…,0}∖{28,29,30,31,32,33,34,35,36,37,38,39,40}| = 41 (general Roos-bound) [i]
  3. linear OA(920, 21, F9, 20) (dual of [21, 1, 21]-code or 21-arc in PG(19,9)), 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.