Information on Result #629458

Linear OA(2213, 225, F2, 99) (dual of [225, 12, 100]-code), using concatenation of two codes based on
  1. linear OA(469, 75, F4, 49) (dual of [75, 6, 50]-code), using
    • discarding factors / shortening the dual code based on linear OA(469, 77, F4, 49) (dual of [77, 8, 50]-code), using
      • construction X applied to C([0,25]) ⊂ C([0,21]) [i] based on
        1. linear OA(463, 65, F4, 51) (dual of [65, 2, 52]-code), using the expurgated narrow-sense BCH-code C(I) with length 65 | 46−1, defining interval I = [0,25], and minimum distance d ≥ |{−15,−4,7,…,15}|+1 = 52 (BCH-bound) [i]
        2. linear OA(457, 65, F4, 43) (dual of [65, 8, 44]-code), using the expurgated narrow-sense BCH-code C(I) with length 65 | 46−1, defining interval I = [0,21], and minimum distance d ≥ |{−21,−20,…,21}|+1 = 44 (BCH-bound) [i]
        3. linear OA(46, 12, F4, 5) (dual of [12, 6, 6]-code), using
  2. linear OA(21, 3, F2, 1) (dual of [3, 2, 2]-code), 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.