Information on Result #614069

Linear OA(573, 82, F5, 46) (dual of [82, 9, 47]-code), using construction X applied to C([0,42]) ⊂ C([1,42]) based on
  1. linear OA(570, 78, F5, 46) (dual of [78, 8, 47]-code), using the expurgated narrow-sense BCH-code C(I) with length 78 | 54−1, defining interval I = [0,42], and minimum distance d ≥ |{−3,−2,…,42}|+1 = 47 (BCH-bound) [i]
  2. linear OA(569, 78, F5, 42) (dual of [78, 9, 43]-code), using the narrow-sense BCH-code C(I) with length 78 | 54−1, defining interval I = [1,42], and designed minimum distance d ≥ |I|+1 = 43 [i]
  3. linear OA(53, 4, F5, 3) (dual of [4, 1, 4]-code or 4-arc in PG(2,5) or 4-cap in PG(2,5)), 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.