Information on Result #1012171

Linear OOA(4233, 2796218, F4, 3, 24) (dual of [(2796218, 3), 8388421, 25]-NRT-code), using (u, u+v)-construction based on
  1. linear OOA(417, 17, F4, 3, 12) (dual of [(17, 3), 34, 13]-NRT-code), using
  2. linear OOA(4216, 2796201, F4, 3, 24) (dual of [(2796201, 3), 8388387, 25]-NRT-code), using
    • OOA 3-folding [i] based on linear OA(4216, large, F4, 24) (dual of [large, large−216, 25]-code), using
      • the primitive narrow-sense BCH-code C(I) with length 16777215 = 412−1, defining interval I = [1,24], and designed minimum distance d ≥ |I|+1 = 25 [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(4233, 699054, F4, 27, 24) (dual of [(699054, 27), 18874225, 25]-NRT-code) [i]OOA Folding and Stacking with Additional Row