Information on Result #616146

Linear OA(9139, 143, F9, 87) (dual of [143, 4, 88]-code), using construction X applied to C([0,43]) ⊂ C([1,43]) based on
  1. linear OA(9107, 110, F9, 87) (dual of [110, 3, 88]-code), using the expurgated narrow-sense BCH-code C(I) with length 110 | 910−1, defining interval I = [0,43], and minimum distance d ≥ |{−43,−42,…,43}|+1 = 88 (BCH-bound) [i]
  2. linear OA(9106, 110, F9, 54) (dual of [110, 4, 55]-code), using the narrow-sense BCH-code C(I) with length 110 | 910−1, defining interval I = [1,43], and minimum distance d ≥ |{1,32,63,…,−8}| + |{0,47,94,…,−39}∖{47,−16,−32,15,−1,46,−33,−2,29,−50,−19,12,43,−36,−5,26,−53,−22,9,40,−39}| = 55 (general Roos-bound) [i]
  3. linear OA(932, 33, F9, 32) (dual of [33, 1, 33]-code or 33-arc in PG(31,9)), 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.

Other Results with Identical Parameters

None.

Depending Results

None.