Information on Result #614182

Linear OA(5118, 123, F5, 74) (dual of [123, 5, 75]-code), using construction X applied to C([0,68]) ⊂ C([1,68]) based on
  1. linear OA(5113, 117, F5, 74) (dual of [117, 4, 75]-code), using the expurgated narrow-sense BCH-code C(I) with length 117 | 512−1, defining interval I = [0,68], and minimum distance d ≥ |{−5,−4,…,68}|+1 = 75 (BCH-bound) [i]
  2. linear OA(5112, 117, F5, 68) (dual of [117, 5, 69]-code), using the narrow-sense BCH-code C(I) with length 117 | 512−1, defining interval I = [1,68], and designed minimum distance d ≥ |I|+1 = 69 [i]
  3. linear OA(55, 6, F5, 5) (dual of [6, 1, 6]-code or 6-arc in PG(4,5)), 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.