Information on Result #1010900

Linear OOA(3192, 2796211, F3, 3, 18) (dual of [(2796211, 3), 8388441, 19]-NRT-code), using (u, u+v)-construction based on
  1. linear OOA(312, 10, F3, 3, 9) (dual of [(10, 3), 18, 10]-NRT-code), using
  2. linear OOA(3180, 2796201, F3, 3, 18) (dual of [(2796201, 3), 8388423, 19]-NRT-code), using
    • OOA 3-folding [i] based on linear OA(3180, large, F3, 18) (dual of [large, large−180, 19]-code), using
      • the primitive narrow-sense BCH-code C(I) with length 14348906 = 315−1, defining interval I = [1,18], and designed minimum distance d ≥ |I|+1 = 19 [i]

Mode: Constructive and linear.

Optimality

Show details for fixed k and m, k and s, k and t, m and s, m and t.

Other Results with Identical Parameters

None.

Depending Results

The following results depend on this result:

ResultThis
result
only
Method
1Linear OOA(3192, 932070, F3, 21, 18) (dual of [(932070, 21), 19573278, 19]-NRT-code) [i]OOA Folding and Stacking with Additional Row