Information on Result #614616

Linear OA(777, 97, F7, 35) (dual of [97, 20, 36]-code), using construction X applied to C([0,17]) ⊂ C([1,17]) based on
  1. linear OA(767, 86, F7, 35) (dual of [86, 19, 36]-code), using the expurgated narrow-sense BCH-code C(I) with length 86 | 76−1, defining interval I = [0,17], and minimum distance d ≥ |{−17,−16,…,17}|+1 = 36 (BCH-bound) [i]
  2. linear OA(766, 86, F7, 24) (dual of [86, 20, 25]-code), using the narrow-sense BCH-code C(I) with length 86 | 76−1, defining interval I = [1,17], and minimum distance d ≥ |{1,24,47,…,25}| + |{−35,−26,−17,…,0}∖{−18,−27,−36,41,32,5,−4,−13,−22,−31,28,19,10,1,−8,−35}| = 25 (general Roos-bound) [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.