Information on Result #621756

Linear OA(2149, 170, F2, 61) (dual of [170, 21, 62]-code), using construction X applied to C3 ⊂ C1 based on
  1. linear OA(2120, 127, F2, 63) (dual of [127, 7, 64]-code), using code C3 for u = 7 by de Boer and Brouwer [i]
  2. linear OA(2106, 127, F2, 47) (dual of [127, 21, 48]-code), using code C1 for u = 7 by de Boer and Brouwer [i]
  3. linear OA(229, 43, F2, 13) (dual of [43, 14, 14]-code), using
    • the expurgated narrow-sense BCH-code C(I) with length 43 | 214−1, defining interval I = [0,6], and minimum distance d ≥ |{−6,−5,…,6}|+1 = 14 (BCH-bound) [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.