Information on Result #1010614

Linear OOA(3129, 2796214, F3, 3, 12) (dual of [(2796214, 3), 8388513, 13]-NRT-code), using (u, u+v)-construction based on
  1. linear OOA(39, 13, F3, 3, 6) (dual of [(13, 3), 30, 7]-NRT-code), using
  2. linear OOA(3120, 2796201, F3, 3, 12) (dual of [(2796201, 3), 8388483, 13]-NRT-code), using
    • OOA 3-folding [i] based on linear OA(3120, large, F3, 12) (dual of [large, large−120, 13]-code), using
      • the primitive narrow-sense BCH-code C(I) with length 14348906 = 315−1, defining interval I = [1,12], and designed minimum distance d ≥ |I|+1 = 13 [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(3129, 1398106, F3, 15, 12) (dual of [(1398106, 15), 20971461, 13]-NRT-code) [i]OOA Folding and Stacking with Additional Row