Information on Result #615638

Linear OA(933, 39, F9, 18) (dual of [39, 6, 19]-code), using construction X applied to C([0,13]) ⊂ C([1,13]) based on
  1. linear OA(930, 35, F9, 18) (dual of [35, 5, 19]-code), using the expurgated narrow-sense BCH-code C(I) with length 35 | 96−1, defining interval I = [0,13], and minimum distance d ≥ |{−4,−3,…,13}|+1 = 19 (BCH-bound) [i]
  2. linear OA(929, 35, F9, 14) (dual of [35, 6, 15]-code), using the narrow-sense BCH-code C(I) with length 35 | 96−1, defining interval I = [1,13], and minimum distance d ≥ |{1,7}| + |{1,9,17,…,0}∖{14}| = 15 (general Roos-bound) [i]
  3. linear OA(93, 4, F9, 3) (dual of [4, 1, 4]-code or 4-arc in PG(2,9) or 4-cap in PG(2,9)), 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.