Information on Result #612133

Linear OA(3126, 260, F3, 33) (dual of [260, 134, 34]-code), using construction X applied to C([0,16]) ⊂ C([1,16]) based on
  1. linear OA(3111, 244, F3, 33) (dual of [244, 133, 34]-code), using the expurgated narrow-sense BCH-code C(I) with length 244 | 310−1, defining interval I = [0,16], and minimum distance d ≥ |{−16,−15,…,16}|+1 = 34 (BCH-bound) [i]
  2. linear OA(3110, 244, F3, 17) (dual of [244, 134, 18]-code), using the narrow-sense BCH-code C(I) with length 244 | 310−1, defining interval I = [1,16], and minimum distance d ≥ |{1,2,…,16}| + |{−17,0}| = 18 (simple Roos-bound) [i]
  3. linear OA(315, 16, F3, 15) (dual of [16, 1, 16]-code or 16-arc in PG(14,3)), 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.