Information on Result #614126

Linear OA(593, 98, F5, 55) (dual of [98, 5, 56]-code), using construction X applied to C([0,27]) ⊂ C([1,27]) based on
  1. linear OA(587, 91, F5, 55) (dual of [91, 4, 56]-code), using the expurgated narrow-sense BCH-code C(I) with length 91 | 512−1, defining interval I = [0,27], and minimum distance d ≥ |{−27,−26,…,27}|+1 = 56 (BCH-bound) [i]
  2. linear OA(586, 91, F5, 48) (dual of [91, 5, 49]-code), using the narrow-sense BCH-code C(I) with length 91 | 512−1, defining interval I = [1,27], and minimum distance d ≥ |{44,46,48,…,−44}|+1 = 49 (BCH-bound) [i]
  3. linear OA(56, 7, F5, 6) (dual of [7, 1, 7]-code or 7-arc in PG(5,5)), 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.