Information on Result #613140

Linear OA(497, 112, F4, 41) (dual of [112, 15, 42]-code), using construction X applied to C([0,34]) ⊂ C([1,34]) based on
  1. linear OA(491, 105, F4, 41) (dual of [105, 14, 42]-code), using the expurgated narrow-sense BCH-code C(I) with length 105 | 46−1, defining interval I = [0,34], and minimum distance d ≥ |{−6,−5,…,34}|+1 = 42 (BCH-bound) [i]
  2. linear OA(490, 105, F4, 34) (dual of [105, 15, 35]-code), using the narrow-sense BCH-code C(I) with length 105 | 46−1, defining interval I = [1,34], and designed minimum distance d ≥ |I|+1 = 35 [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.