Information on Result #614630

Linear OA(767, 75, F7, 38) (dual of [75, 8, 39]-code), using construction X applied to C([0,35]) ⊂ C([1,35]) based on
  1. linear OA(765, 72, F7, 38) (dual of [72, 7, 39]-code), using the expurgated narrow-sense BCH-code C(I) with length 72 | 76−1, defining interval I = [0,35], and minimum distance d ≥ |{−2,−1,…,35}|+1 = 39 (BCH-bound) [i]
  2. linear OA(764, 72, F7, 35) (dual of [72, 8, 36]-code), using the narrow-sense BCH-code C(I) with length 72 | 76−1, defining interval I = [1,35], and designed minimum distance d ≥ |I|+1 = 36 [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.