Information on Result #619408

Linear OA(8176, 6578, F81, 31) (dual of [6578, 6502, 32]-code), using construction X applied to C([0,15]) ⊂ C([1,15]) based on
  1. linear OA(8161, 6562, F81, 31) (dual of [6562, 6501, 32]-code), using the expurgated narrow-sense BCH-code C(I) with length 6562 | 814−1, defining interval I = [0,15], and minimum distance d ≥ |{−15,−14,…,15}|+1 = 32 (BCH-bound) [i]
  2. linear OA(8160, 6562, F81, 15) (dual of [6562, 6502, 16]-code), using the narrow-sense BCH-code C(I) with length 6562 | 814−1, defining interval I = [1,15], and designed minimum distance d ≥ |I|+1 = 16 [i]
  3. linear OA(8115, 16, F81, 15) (dual of [16, 1, 16]-code or 16-arc in PG(14,81)), 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.

Other Results with Identical Parameters

None.

Depending Results

None.