Information on Result #619068

Linear OA(6461, 80, F64, 47) (dual of [80, 19, 48]-code), using construction X applied to C([0,23]) ⊂ C([1,23]) based on
  1. linear OA(6447, 65, F64, 47) (dual of [65, 18, 48]-code or 65-arc in PG(46,64)), using the expurgated narrow-sense BCH-code C(I) with length 65 | 642−1, defining interval I = [0,23], and minimum distance d ≥ |{−23,−22,…,23}|+1 = 48 (BCH-bound) [i]
  2. linear OA(6446, 65, F64, 32) (dual of [65, 19, 33]-code), using the narrow-sense BCH-code C(I) with length 65 | 642−1, defining interval I = [1,23], and minimum distance d ≥ |{9,10,…,21}| + |{−32,−10,12,…,0}∖{21,20,19,18,17,16,15,14,13,−9,12,−10}| = 33 (general Roos-bound) [i]
  3. linear OA(6414, 15, F64, 14) (dual of [15, 1, 15]-code or 15-arc in PG(13,64)), 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.