Information on Result #611778

Linear OA(3148, 4782978, F3, 15) (dual of [4782978, 4782830, 16]-code), using construction X applied to C([0,7]) ⊂ C([1,7]) based on
  1. linear OA(3141, 4782970, F3, 15) (dual of [4782970, 4782829, 16]-code), using the expurgated narrow-sense BCH-code C(I) with length 4782970 | 328−1, defining interval I = [0,7], and minimum distance d ≥ |{−7,−6,…,7}|+1 = 16 (BCH-bound) [i]
  2. linear OA(3140, 4782970, F3, 7) (dual of [4782970, 4782830, 8]-code), using the narrow-sense BCH-code C(I) with length 4782970 | 328−1, defining interval I = [1,7], and designed minimum distance d ≥ |I|+1 = 8 [i]
  3. linear OA(37, 8, F3, 7) (dual of [8, 1, 8]-code or 8-arc in PG(6,3)), 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.