Information on Result #621868

Linear OA(2140, 159, F2, 58) (dual of [159, 19, 59]-code), using construction X applied to D3 ⊂ D1 based on
  1. linear OA(2119, 127, F2, 58) (dual of [127, 8, 59]-code), using augmented code D3 for u = 7 by de Boer and Brouwer [i]
  2. linear OA(2105, 127, F2, 46) (dual of [127, 22, 47]-code), using augmented code D1 for u = 7 by de Boer and Brouwer [i]
  3. linear OA(221, 32, F2, 11) (dual of [32, 11, 12]-code), using
    • an extension Ce(10) of the primitive narrow-sense BCH-code C(I) with length 31 = 25−1, defining interval I = [1,10], and designed minimum distance d ≥ |I|+1 = 11 [i]

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.