Information on Result #640825

Linear OA(296, 105, F2, 44) (dual of [105, 9, 45]-code), using juxtaposition based on
  1. linear OA(28, 17, F2, 4) (dual of [17, 9, 5]-code), using
  2. linear OA(279, 88, F2, 39) (dual of [88, 9, 40]-code), using
    • construction X applied to C([0,36]) ⊂ C([1,36]) [i] based on
      1. linear OA(277, 85, F2, 39) (dual of [85, 8, 40]-code), using the expurgated narrow-sense BCH-code C(I) with length 85 | 28−1, defining interval I = [0,36], and minimum distance d ≥ |{−2,−1,…,36}|+1 = 40 (BCH-bound) [i]
      2. linear OA(276, 85, F2, 36) (dual of [85, 9, 37]-code), using the narrow-sense BCH-code C(I) with length 85 | 28−1, defining interval I = [1,36], and designed minimum distance d ≥ |I|+1 = 37 [i]
      3. linear OA(22, 3, F2, 2) (dual of [3, 1, 3]-code or 3-arc in PG(1,2)), 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.

Compare with Markus Grassl’s online database of code parameters.

Other Results with Identical Parameters

None.

Depending Results

None.