Information on Result #613257

Linear OA(4100, 112, F4, 51) (dual of [112, 12, 52]-code), using construction X applied to C([0,44]) ⊂ C([1,44]) based on
  1. linear OA(494, 105, F4, 51) (dual of [105, 11, 52]-code), using the expurgated narrow-sense BCH-code C(I) with length 105 | 46−1, defining interval I = [0,44], and minimum distance d ≥ |{−6,−5,…,44}|+1 = 52 (BCH-bound) [i]
  2. linear OA(493, 105, F4, 44) (dual of [105, 12, 45]-code), using the narrow-sense BCH-code C(I) with length 105 | 46−1, defining interval I = [1,44], and designed minimum distance d ≥ |I|+1 = 45 [i]
  3. linear OA(46, 7, F4, 6) (dual of [7, 1, 7]-code or 7-arc in PG(5,4)), 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.