Information on Result #611208

Linear OA(291, 136, F2, 25) (dual of [136, 45, 26]-code), using construction X applied to C([0,12]) ⊂ C([1,12]) based on
  1. linear OA(285, 129, F2, 25) (dual of [129, 44, 26]-code), using the expurgated narrow-sense BCH-code C(I) with length 129 | 214−1, defining interval I = [0,12], and minimum distance d ≥ |{−12,−11,…,12}|+1 = 26 (BCH-bound) [i]
  2. linear OA(284, 129, F2, 18) (dual of [129, 45, 19]-code), using the narrow-sense BCH-code C(I) with length 129 | 214−1, defining interval I = [1,12], and minimum distance d ≥ |{−57,−28,1}| + |{0,64,128,…,56}∖{−1,57}| = 19 (general Roos-bound) [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.

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

Other Results with Identical Parameters

None.

Depending Results

None.