Information on Result #614671

Linear OA(774, 84, F7, 43) (dual of [84, 10, 44]-code), using construction X applied to C([0,39]) ⊂ C([1,39]) based on
  1. linear OA(771, 80, F7, 43) (dual of [80, 9, 44]-code), using the expurgated narrow-sense BCH-code C(I) with length 80 | 74−1, defining interval I = [0,39], and minimum distance d ≥ |{−3,−2,…,39}|+1 = 44 (BCH-bound) [i]
  2. linear OA(770, 80, F7, 39) (dual of [80, 10, 40]-code), using the narrow-sense BCH-code C(I) with length 80 | 74−1, defining interval I = [1,39], and designed minimum distance d ≥ |I|+1 = 40 [i]
  3. linear OA(73, 4, F7, 3) (dual of [4, 1, 4]-code or 4-arc in PG(2,7) or 4-cap in PG(2,7)), 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.