Information on Result #690968

Linear OA(968, 92, F9, 45) (dual of [92, 24, 46]-code), using construction X applied to C([0,22]) ⊂ C([0,20]) based on
  1. linear OA(965, 82, F9, 45) (dual of [82, 17, 46]-code), using the expurgated narrow-sense BCH-code C(I) with length 82 | 94−1, defining interval I = [0,22], and minimum distance d ≥ |{−22,−21,…,22}|+1 = 46 (BCH-bound) [i]
  2. linear OA(957, 82, F9, 41) (dual of [82, 25, 42]-code), using the expurgated narrow-sense BCH-code C(I) with length 82 | 94−1, defining interval I = [0,20], and minimum distance d ≥ |{−20,−19,…,20}|+1 = 42 (BCH-bound) [i]
  3. linear OA(93, 10, F9, 3) (dual of [10, 7, 4]-code or 10-arc in PG(2,9) or 10-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 OOA(968, 46, F9, 2, 45) (dual of [(46, 2), 24, 46]-NRT-code) [i]OOA Folding