Information on Result #614699

Linear OA(770, 75, F7, 50) (dual of [75, 5, 51]-code), using construction X applied to C([0,47]) ⊂ C([1,47]) based on
  1. linear OA(768, 72, F7, 50) (dual of [72, 4, 51]-code), using the expurgated narrow-sense BCH-code C(I) with length 72 | 76−1, defining interval I = [0,47], and minimum distance d ≥ |{−2,−1,…,47}|+1 = 51 (BCH-bound) [i]
  2. linear OA(767, 72, F7, 47) (dual of [72, 5, 48]-code), using the narrow-sense BCH-code C(I) with length 72 | 76−1, defining interval I = [1,47], and designed minimum distance d ≥ |I|+1 = 48 [i]
  3. linear OA(72, 3, F7, 2) (dual of [3, 1, 3]-code or 3-arc in PG(1,7)), 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.