Information on Result #689911

Linear OA(9125, 746, F9, 45) (dual of [746, 621, 46]-code), using construction X applied to C([0,22]) ⊂ C([0,20]) based on
  1. linear OA(9121, 730, F9, 45) (dual of [730, 609, 46]-code), using the expurgated narrow-sense BCH-code C(I) with length 730 | 96−1, defining interval I = [0,22], and minimum distance d ≥ |{−22,−21,…,22}|+1 = 46 (BCH-bound) [i]
  2. linear OA(9109, 730, F9, 41) (dual of [730, 621, 42]-code), using the expurgated narrow-sense BCH-code C(I) with length 730 | 96−1, defining interval I = [0,20], and minimum distance d ≥ |{−20,−19,…,20}|+1 = 42 (BCH-bound) [i]
  3. linear OA(94, 16, F9, 3) (dual of [16, 12, 4]-code or 16-cap in PG(3,9)), 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

The following results depend on this result:

ResultThis
result
only
Method
1Linear OOA(9125, 373, F9, 2, 45) (dual of [(373, 2), 621, 46]-NRT-code) [i]OOA Folding