Information on Result #684001

Linear OA(541, 142, F5, 15) (dual of [142, 101, 16]-code), using construction X applied to C([0,7]) ⊂ C([0,5]) based on
  1. linear OA(537, 126, F5, 15) (dual of [126, 89, 16]-code), using the expurgated narrow-sense BCH-code C(I) with length 126 | 56−1, defining interval I = [0,7], and minimum distance d ≥ |{−7,−6,…,7}|+1 = 16 (BCH-bound) [i]
  2. linear OA(525, 126, F5, 11) (dual of [126, 101, 12]-code), using the expurgated narrow-sense BCH-code C(I) with length 126 | 56−1, defining interval I = [0,5], and minimum distance d ≥ |{−5,−4,…,5}|+1 = 12 (BCH-bound) [i]
  3. linear OA(54, 16, F5, 3) (dual of [16, 12, 4]-code or 16-cap in PG(3,5)), 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(541, 71, F5, 2, 15) (dual of [(71, 2), 101, 16]-NRT-code) [i]OOA Folding