Information on Result #615258

Linear OA(8119, 192, F8, 49) (dual of [192, 73, 50]-code), using construction X applied to C([0,24]) ⊂ C([1,24]) based on
  1. linear OA(899, 171, F8, 49) (dual of [171, 72, 50]-code), using the expurgated narrow-sense BCH-code C(I) with length 171 | 86−1, defining interval I = [0,24], and minimum distance d ≥ |{−24,−23,…,24}|+1 = 50 (BCH-bound) [i]
  2. linear OA(898, 171, F8, 28) (dual of [171, 73, 29]-code), using the narrow-sense BCH-code C(I) with length 171 | 86−1, defining interval I = [1,24], and minimum distance d ≥ |{3,67,131,…,−85}| + |{0,58,116,…,27}∖{58,−55,3,−52,6,−49,9,67,12,70,15,73,−40,76,−37,79,−34,24,−31,27}| = 29 (general Roos-bound) [i]
  3. linear OA(820, 21, F8, 20) (dual of [21, 1, 21]-code or 21-arc in PG(19,8)), 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.

Other Results with Identical Parameters

None.

Depending Results

None.