Information on Result #674095

Linear OA(2119, 159, F2, 41) (dual of [159, 40, 42]-code), using construction X applied to C([0,42]) ⊂ C([0,28]) based on
  1. linear OA(299, 127, F2, 43) (dual of [127, 28, 44]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 127 = 27−1, defining interval I = [0,42], and designed minimum distance d ≥ |I|+1 = 44 [i]
  2. linear OA(285, 127, F2, 31) (dual of [127, 42, 32]-code), using the expurgated primitive narrow-sense BCH-code C(I) with length 127 = 27−1, defining interval I = [1,28], and minimum distance d ≥ 32 (sporadic result) and all weights a multiple of 2 because the code is contained in its dual [i]
  3. linear OA(220, 32, F2, 9) (dual of [32, 12, 10]-code), 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.