Information on Result #614654

Linear OA(763, 68, F7, 41) (dual of [68, 5, 42]-code), using construction X applied to C([0,30]) ⊂ C([1,30]) based on
  1. linear OA(753, 57, F7, 41) (dual of [57, 4, 42]-code), using the expurgated narrow-sense BCH-code C(I) with length 57 | 73−1, defining interval I = [0,30], and minimum distance d ≥ |{−10,−9,…,30}|+1 = 42 (BCH-bound) [i]
  2. linear OA(752, 57, F7, 30) (dual of [57, 5, 31]-code), using the narrow-sense BCH-code C(I) with length 57 | 73−1, defining interval I = [1,30], and designed minimum distance d ≥ |I|+1 = 31 [i]
  3. linear OA(710, 11, F7, 10) (dual of [11, 1, 11]-code or 11-arc in PG(9,7)), 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.