Information on Result #615335

Linear OA(8149, 198, F8, 61) (dual of [198, 49, 62]-code), using construction X applied to C([0,30]) ⊂ C([1,30]) based on
  1. linear OA(8123, 171, F8, 61) (dual of [171, 48, 62]-code), using the expurgated narrow-sense BCH-code C(I) with length 171 | 86−1, defining interval I = [0,30], and minimum distance d ≥ |{−30,−29,…,30}|+1 = 62 (BCH-bound) [i]
  2. linear OA(8122, 171, F8, 34) (dual of [171, 49, 35]-code), using the narrow-sense BCH-code C(I) with length 171 | 86−1, defining interval I = [1,30], and minimum distance d ≥ |{1,2,…,24}| + |{75,109,143,…,0}∖{−34,−68,69,35,−33,−67,70,36,−32,−66,71,37,−65,72,38,−64,73,39,−63,74,40,−62,75}| = 35 (general Roos-bound) [i]
  3. linear OA(826, 27, F8, 26) (dual of [27, 1, 27]-code or 27-arc in PG(25,8)), 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.