Information on Result #613275

Linear OA(4137, 156, F4, 53) (dual of [156, 19, 54]-code), using construction X applied to C([0,50]) ⊂ C([1,50]) based on
  1. linear OA(4135, 153, F4, 53) (dual of [153, 18, 54]-code), using the expurgated narrow-sense BCH-code C(I) with length 153 | 412−1, defining interval I = [0,50], and minimum distance d ≥ |{−2,−1,…,50}|+1 = 54 (BCH-bound) [i]
  2. linear OA(4134, 153, F4, 50) (dual of [153, 19, 51]-code), using the narrow-sense BCH-code C(I) with length 153 | 412−1, defining interval I = [1,50], and designed minimum distance d ≥ |I|+1 = 51 [i]
  3. linear OA(42, 3, F4, 2) (dual of [3, 1, 3]-code or 3-arc in PG(1,4)), 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

None.