Information on Result #616065

Linear OA(999, 105, F9, 63) (dual of [105, 6, 64]-code), using construction X applied to C([0,31]) ⊂ C([1,31]) based on
  1. linear OA(977, 82, F9, 63) (dual of [82, 5, 64]-code), using the expurgated narrow-sense BCH-code C(I) with length 82 | 94−1, defining interval I = [0,31], and minimum distance d ≥ |{−31,−30,…,31}|+1 = 64 (BCH-bound) [i]
  2. linear OA(976, 82, F9, 40) (dual of [82, 6, 41]-code), using the narrow-sense BCH-code C(I) with length 82 | 94−1, defining interval I = [1,31], 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(922, 23, F9, 22) (dual of [23, 1, 23]-code or 23-arc in PG(21,9)), 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.