Information on Result #613445

Linear OA(4175, 192, F4, 83) (dual of [192, 17, 84]-code), using construction X applied to C([0,80]) ⊂ C([1,80]) based on
  1. linear OA(4173, 189, F4, 83) (dual of [189, 16, 84]-code), using the expurgated narrow-sense BCH-code C(I) with length 189 | 49−1, defining interval I = [0,80], and minimum distance d ≥ |{−2,−1,…,80}|+1 = 84 (BCH-bound) [i]
  2. linear OA(4172, 189, F4, 80) (dual of [189, 17, 81]-code), using the narrow-sense BCH-code C(I) with length 189 | 49−1, defining interval I = [1,80], and designed minimum distance d ≥ |I|+1 = 81 [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.