Information on Result #615907

Linear OA(967, 95, F9, 40) (dual of [95, 28, 41]-code), using construction X applied to C([0,36]) ⊂ C([1,36]) based on
  1. linear OA(964, 91, F9, 40) (dual of [91, 27, 41]-code), using the expurgated narrow-sense BCH-code C(I) with length 91 | 93−1, defining interval I = [0,36], and minimum distance d ≥ |{−3,−2,…,36}|+1 = 41 (BCH-bound) [i]
  2. linear OA(963, 91, F9, 36) (dual of [91, 28, 37]-code), using the narrow-sense BCH-code C(I) with length 91 | 93−1, defining interval I = [1,36], and designed minimum distance d ≥ |I|+1 = 37 [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

The following results depend on this result:

ResultThis
result
only
Method
1Linear OA(3229, 285, F3, 81) (dual of [285, 56, 82]-code) [i]Concatenation of Two Codes