Information on Result #611108

Linear OA(2161, 524298, F2, 17) (dual of [524298, 524137, 18]-code), using construction X applied to C([0,8]) ⊂ C([1,8]) based on
  1. linear OA(2153, 524289, F2, 17) (dual of [524289, 524136, 18]-code), using the expurgated narrow-sense BCH-code C(I) with length 524289 | 238−1, defining interval I = [0,8], and minimum distance d ≥ |{−8,−7,…,8}|+1 = 18 (BCH-bound) [i]
  2. linear OA(2152, 524289, F2, 8) (dual of [524289, 524137, 9]-code), using the narrow-sense BCH-code C(I) with length 524289 | 238−1, defining interval I = [1,8], and designed minimum distance d ≥ |I|+1 = 9 [i]
  3. linear OA(28, 9, F2, 8) (dual of [9, 1, 9]-code or 9-arc in PG(7,2)), 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.

Other Results with Identical Parameters

None.

Depending Results

None.