Information on Result #611044

Linear OA(2139, 4194312, F2, 13) (dual of [4194312, 4194173, 14]-code), using construction X applied to C([0,6]) ⊂ C([1,6]) based on
  1. linear OA(2133, 4194305, F2, 13) (dual of [4194305, 4194172, 14]-code), using the expurgated narrow-sense BCH-code C(I) with length 4194305 | 244−1, defining interval I = [0,6], and minimum distance d ≥ |{−6,−5,…,6}|+1 = 14 (BCH-bound) [i]
  2. linear OA(2132, 4194305, F2, 6) (dual of [4194305, 4194173, 7]-code), using the narrow-sense BCH-code C(I) with length 4194305 | 244−1, defining interval I = [1,6], and designed minimum distance d ≥ |I|+1 = 7 [i]
  3. linear OA(26, 7, F2, 6) (dual of [7, 1, 7]-code or 7-arc in PG(5,2)), 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.