Information on Result #611510

Linear OA(2210, 224, F2, 83) (dual of [224, 14, 84]-code), using construction X applied to C([0,76]) ⊂ C([1,76]) based on
  1. linear OA(2204, 217, F2, 83) (dual of [217, 13, 84]-code), using the expurgated narrow-sense BCH-code C(I) with length 217 | 215−1, defining interval I = [0,76], and minimum distance d ≥ |{−6,−5,…,76}|+1 = 84 (BCH-bound) [i]
  2. linear OA(2203, 217, F2, 76) (dual of [217, 14, 77]-code), using the narrow-sense BCH-code C(I) with length 217 | 215−1, defining interval I = [1,76], and designed minimum distance d ≥ |I|+1 = 77 [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.