Information on Result #614636

Linear OA(763, 68, F7, 39) (dual of [68, 5, 40]-code), using construction X applied to C([0,35]) ⊂ C([1,35]) based on
  1. linear OA(760, 64, F7, 39) (dual of [64, 4, 40]-code), using the expurgated narrow-sense BCH-code C(I) with length 64 | 78−1, defining interval I = [0,35], and minimum distance d ≥ |{−3,−2,…,35}|+1 = 40 (BCH-bound) [i]
  2. linear OA(759, 64, F7, 35) (dual of [64, 5, 36]-code), using the narrow-sense BCH-code C(I) with length 64 | 78−1, defining interval I = [1,35], and designed minimum distance d ≥ |I|+1 = 36 [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.